# Items where Subject is "MSC 2010, the AMS's Mathematics Subject Classification > 15 Linear and multilinear algebra; matrix theory"

 Up a level
 Export as ASCII CitationBibTeXDublin CoreEP3 XMLEndNoteHTML CitationJSONMETSMultiline CSVObject IDsOpenURL ContextObjectRDF+N-TriplesRDF+N3RDF+XMLReferReference Manager
Group by: Creators | Item Type
Number of items at this level: 476.

## Article

Al-Mohy, Awad H. and Higham, Nicholas J. (2010) The Complex Step Approximation to the Fréchet Derivative of a Matrix Function. Numerical Algorithms, 53 (1). pp. 133-148. ISSN 1017-1398

Al-Mohy, Awad H. and Higham, Nicholas J. (2011) Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators. SIAM Journal on Scientific Computing, 33 (2). pp. 488-511. ISSN 1064-8275

Al-Mohy, Awad H. and Higham, Nicholas J. (2009) Computing the Fréchet Derivative of the Matrix Exponential, with an application to Condition Number Estimation. SIAM Journal On Matrix Analysis and Applications., 30 (4). pp. 1639-1657. ISSN 1095-7162

Al-Mohy, Awad H. and Higham, Nicholas J. (2012) Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm. SIAM Journal on Scientific Computing, 34 (4). C152-C169. ISSN 1095-7197

Al-Mohy, Awad H. and Higham, Nicholas J. (2009) A New Scaling and Squaring Algorithm for the Matrix Exponential. SIAM Journal On Matrix Analysis and Applications., 31 (3). pp. 970-989. ISSN 1095-7162

Al-Mohy, Awad H. and Higham, Nicholas J. (2009) A New Scaling and Squaring Algorithm for the Matrix Exponential. SIAM Journal On Matrix Analysis and Applications., 31 (3). pp. 970-989. ISSN 1095-7162

Al-Mohy, Awad H. and Higham, Nicholas J. and Relton, Samuel D. (2013) Computing the Frechet Derivative of the Matrix Logarithm and Estimating the Condition Number. SIAM J. Sci. Comput., 35 (4). C394 -C410. ISSN 1095-7197

Al-Mohy, Awad H. and Higham, Nicholas J. and Relton, Samuel D. (2015) New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously. SIAM J. Sci. Comput., 37 (1). A456-A487. ISSN 1095-7197

Andrew, Robert and Dingle, Nicholas J. (2014) Implementing QR Factorization Updating Algorithms on GPUs. Parallel Computing. ISSN 0167-8191 (In Press)

Andrew, Robert and Dingle, Nicholas J. (2014) Implementing QR Factorization Updating Algorithms on GPUs. Parallel Computing, 4 (7). pp. 161-172. ISSN 0167-8191

Anjos, M.F. and Hammarling, S. and Paige, C.C. (1992) Solving the Generalized Symmetric Eigenvalue Problem. Unpublished. pp. 1-19. (Unpublished)

Aprahamian, Mary and Higham, Desmond J. and Higham, Nicholas J. (2016) Matching Exponential-Based and Resolvent-Based Centrality Measures. Journal of Complex Networks, 4 (2). pp. 157-176.

Aprahamian, Mary and Higham, Nicholas J. (2016) Matrix Inverse Trigonometric and Inverse Hyperbolic Functions: Theory and Algorithms. SIAM Journal on Matrix Analysis and Applications, 37 (4). pp. 1453-1477. ISSN 1095-7162

Aprahamian, Mary and Higham, Nicholas J. (2014) The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential. SIAM Journal on Matrix Analysis and Applications, 35 (1). pp. 88-109. ISSN 1095-7162

Bethune, Iain and Bull, J. Mark and Dingle, Nicholas J. and Higham, Nicholas J. (2011) Investigating the Performance of Asynchronous Jacobi's Method for Solving Systems of Linear Equations. To appear in International Journal of High Performance Computing Applications. (In Press)

Bini, Dario A. and Gemignani, Luca and Tisseur, Françoise (2005) The Ehrlich--Aberth Method for the Nonsymmetric Tridiagonal Eigenvalue Problem. SIAM Journal on Matrix Analysis and Applications, 27 (1). pp. 153-175. ISSN 1095-7162

Bini, Dario A. and Higham, Nicholas J. and Meini, Beatrice (2005) Algorithms for the Matrix p'th Root. Numerical Algorithms, 39 (4). pp. 349-378. ISSN 1572-9265

Bojanczyk, Adam and Higham, Nicholas J and Patel, Harikrishna (2003) Solving the indefinite least squares problem by hyperbolic QR factorization. SIAM Journal On Matrix Analysis And Applications, 24 (4). pp. 914-931. ISSN 1095-7162

Borsdorf, Rüdiger and Higham, Nicholas J. and Raydan, Marcos (2010) Computing a Nearest Correlation Matrix with Factor Structure. SIAM Journal on Matrix Analysis and Applications, 31 (5). pp. 2603-2622. ISSN 1095-7162

Braconnier, Thierry and Higham, Nicholas J. (1996) Computing the field of values and pseudospectra using the Lanczos method with continuation. BIT Numerical Mathematics, 36:3. pp. 422-440. ISSN 1572-9125

Carson, Erin and Higham, Nicholas J. (2017) Accelerating the Solution of Linear Systems by Iterative Refinement in Three Precisions. SIAM Journal on Scientific Computing (2017.24). ISSN 1749-9097

Carson, Erin and Higham, Nicholas J. (2017) A New Analysis of Iterative Refinement and its Application to Accurate Solution of Ill-Conditioned Sparse Linear Systems. SIAM Journal on Scientific Computing, 39 (6). A2834-A2856. ISSN 1095-7197

Chahlaoui, Younes (2011) An interview with Paul Van Dooren. Applied Numerical Mathematics (APNUM), IISIMS (Specia). (Submitted)

Chahlaoui, Younes (2009) A posteriori error bounds for discrete balanced truncation. SIAM Journal on Scientific Computing (SISC). (Submitted)

Chahlaoui, Younes (2010) A posteriori error bounds for discrete balanced truncation. Linear Algebra and Its Applications, specia. (Submitted)

Chahlaoui, Younes and Gallivan, Kyle A and Van Dooren, Paul (2003) Recursive calculation of dominant singular subspaces. SIAM Journal on Matrix Analysis and Applications (SIMAX), 25 (2). pp. 445-463. ISSN 0895-4798

Chahlaoui, Younes and Lemonnier, Damien and Vandendorpe, Antoine and Van Dooren, Paul (2004) Second Order Balanced Truncation. Linear Algebra and its Applications, 415 (2-3). pp. 373-384. ISSN 0024-3795

Chahlaoui, Younès (2010) Two efficient SVD/Krylov algorithms for model order reduction of large scale systems. Electronic Transactions On Numerical Analysis (ETNA). (Submitted)

Chahlaoui, Younès (2011) Two efficient SVD/Krylov algorithms for model order reduction of large scale systems. Electronic Transactions On Numerical Analysis (ETNA), 38. pp. 113-145. ISSN 1068-9613

Cheng, Sheung Hun and Higham, Nicholas J and Kenney, Charles S and Laub, Alan J (2001) Approximating the logarithm of a matrix to specified accuracy. SIAM Journal On Matrix Analysis And Applications, 22 (4). pp. 1112-1125. ISSN 1095-7162

Cheng, Sheung Hun and Higham, Nicholas J. (1998) A modified Cholesky algorithm based on a symmetric indefinite factorization. SIAM Journal On Matrix Analysis And Applications, 19 (4). pp. 1097-1110. ISSN 1095-7162

Cheng, Sheung Hun and Higham, Nicholas J. (1999) The nearest definite pair for the Hermitian generalized eigenvalue problem. Linear Algebra and its Applications, 302-30. pp. 63-76. ISSN 0024-3795

Cox, Anthony J. and Higham, Nicholas J. (1999) Accuracy and stability of the null space method for solving the equality constrained least squares problem. BIT Numerical Mathematics, 39 (1). pp. 34-50. ISSN 1572-9125

Cox, Anthony J. and Higham, Nicholas J. (1999) Backward error bounds for constrained least squares problems. BIT Numerical Mathematics, 39 (2). pp. 210-227. ISSN 1572-9125

Cox, Anthony J. and Higham, Nicholas J. (1999) Row-wise backward stable elimination methods for the equality constrained least squares problem. SIAM Journal On Matrix Analysis And Applications, 21 (1). pp. 313-326. ISSN 1095-7162

Dallali, H. and Medrano-Cerda, G. and Brown, M. (2011) CONTROL OF A COMPLIANT HUMANOID ROBOT IN DOUBLE SUPPORT PHASE: A GEOMETRIC APPROACH. Int. J. of Humanoid Robotics (IJHR). (Submitted)

Davies, Philip I. and Higham, Nicholas J. (2000) Numerically stable generation of correlation matrices and their factors. BIT Numerical Mathematics, 40 (4). pp. 640-651. ISSN 1572-9125

Davies, Philip I. and Higham, Nicholas J. (2003) A Schur--Parlett Algorithm for Computing Matrix Functions. SIAM Journal On Matrix Analysis and Applications, 25 (2). pp. 464-485. ISSN 1095-7162

Davies, Philip I. and Higham, Nicholas J. and Tisseur, Françoise (2001) Analysis of the Cholesky Method with Iterative Refinement for Solving the Symmetric Definite Generalized Eigenproblem. SIAM Journal on Matrix Analysis and Applications, 23 (2). pp. 472-493. ISSN 0895-4798

Deadman, Edvin and Higham, Nicholas J. and Ralha, Rui (2013) Blocked Schur Algorithms for Computing the Matrix Square Root. Lecture Notes in Computer Science, 7782. pp. 171-182.

Deadman, Edvin and Relton, Samuel (2016) Taylor's Theorem for Matrix Functions with Applications to Condition Number Estimation. Linear Algebra and its Applications, 504 (2015.2). pp. 354-371. ISSN 0024-3795

Demmel, James W. and Higham, Nicholas J. (1993) Improved error bounds for underdetermined system solvers. SIAM Journal On Matrix Analysis And Applications, 14 (1). pp. 1-14. ISSN 1095-7162

Demmel, James W. and Higham, Nicholas J. (1992) Stability of Block Algorithms with Fast Level-3 BLAS. ACM Transactions on Mathematical Software, 18 (3). pp. 274-291. ISSN 0098-3500

Demmel, James W. and Higham, Nicholas J. and Schreiber, Robert S. (1995) Stability of Block LU Factorization. Numerical Linear Algebra with Applications, Vol. 2 (2). pp. 173-190. ISSN 1070-5325 / 1099-1506

Dopico, Froilan M. and Noferini, Vanni Root polynomials and their role in the theory of matrix polynomials. TBA. (Submitted)

Duminil, Sebastien and Sadok, Hassane and Silvester, David (2014) Fast solvers for discretized Navier-Stokes problems using vector extrapolation. Numerical Algorithms, 66 (1). pp. 89-104. ISSN 1017-1398

Elman, Howard C. and Ramage, Alison and Silvester, David J. (2007) Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow. ACM Transactions on Mathematical Software (TOMS), 33 (2: 14). ISSN 0098-3500

Ernst, O.G. and Powell, C.E and Silvester, D.J. and Ullmann, E. (2009) Efficient Solvers for a Linear Stochastic Galerkin Mixed Formulation of Diffusion Problems with Random Data. SIAM Journal of Scientific Computing, 31 (2). pp. 1424-1447.

Fasi, Massimiliano and Higham, Nicholas J. (2018) Multiprecision Algorithms for Computing the Matrix Logarithm. SIAM Journal On Matrix Analysis And Applications, 39 (1). pp. 472-491. ISSN 1095-7162

Fasi, Massimiliano and Higham, Nicholas J. and Iannazzo, Bruno (2015) An Algorithm for the Matrix Lambert W Function. SIAM Journal on Matrix Analysis and Applications, 36 (2). pp. 669-685. ISSN 1095-7162

Garvey, S.D. and Popov, A.A. (2010) Parameterising Structure Preserving Transformations Connecting Quadratic Matrix Polynomials. Western Canada Linear Algebra Meeting 2010, Banff, May 2010, 1 (1).

Grammont, Laurence and Higham, Nicholas J. and Tisseur, Françoise (2011) A Framework for Analyzing Nonlinear Eigenproblems and Parametrized Linear Systems. Linear Algebra and its Applications, 435 (3). pp. 623-640. ISSN 0024-3795

Guo, Chun-Hua and Higham, Nicholas J. (2007) Iterative Solution of a Nonsymmetric Algebraic Riccati Equation. SIAM Journal On Matrix Analysis and Applications., 29 (2). pp. 396-412. ISSN 0895-4798

Guo, Chun-Hua and Higham, Nicholas J. (2006) A Schur-Newton Method for the Matrix p'th Root and its Inverse. SIAM Journal On Matrix Analysis and Applications, 28 (3). pp. 788-804. ISSN 0895-4798

Guo, Chun-Hua and Higham, Nicholas J. (2006) A Schur-Newton Method for the Matrix p'th Root and its Inverse. SIAM Journal On Matrix Analysis and Applications, 28 (3). pp. 788-804. ISSN 0895-4798

Guo, Chun-Hua and Higham, Nicholas J. and Tisseur, Françoise (2009) Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems. SIAM Journal On Matrix Analysis and Applications., 30 (4). pp. 1593-1613. ISSN 1095-7162

Guo, Chun-Hua and Higham, Nicholas J. and Tisseur, Françoise (2009) An Improved Arc Algorithm for Detecting Definite Hermitian Pairs. SIAM Journal On Matrix Analysis and Applications., 31 (3). 1131- 1151. ISSN 1095-7162

Hale, Nicholas and Higham, Nicholas J. and Trefethen, Lloyd N. (2008) Computing $A^\alpha$, $\log(A)$ and Related Matrix Functions by Contour Integrals. SIAM Journal on Numerical Analysis, 46 (5). pp. 2505-2523. ISSN 0036-1429

Hammarling, Sven (1985) The Singular Value Decomposition in Multivariate Statistics. ACM Signum Newsletter, 20 (3). pp. 2-25.

Hammarling, Sven (1977) A Survey of Numerical Aspects of Plane Rotations. Middlesex Polytechnic Report, Maths (1). pp. 1-35.

Hargreaves, Gareth I. (2006) Computing the Condition Number of Tridiagonal and Diagonal-Plus-Semiseparable Matrices in Linear Time. SIAM Journal On Matrix Analysis and Applications, 27 (3). pp. 801-820. ISSN 1095-7162

Hargreaves, Gareth I. and Higham, Nicholas J. (2005) Efficient Algorithms for the Matrix Cosine and Sine. Numerical Algorithms, 40 (4). pp. 383-400. ISSN 1572-9265

Higham, Desmond J. and Higham, Nicholas J. (1992) Backward error and condition of structured linear systems. SIAM Journal On Matrix Analysis And Applications, 13 (1). pp. 162-175. ISSN 1095-7162

Higham, Desmond J. and Higham, Nicholas J. (1992) Componentwise perturbation theory for linear systems with multiple right-hand sides. Linear Algebra and its Applications, 174. pp. 111-129. ISSN 0024-3795

Higham, Desmond J. and Higham, Nicholas J. (1998) Structured backward error and condition of generalized eigenvalue problems. SIAM Journal On Matrix Analysis And Applications, 20 (2). pp. 493-512. ISSN 1095-7162

Higham, Nicholas J (2004) The numerical stability of barycentric Lagrange interpolation. IMA Journal of Numerical Analysis, 24. pp. 547-556. ISSN 1464-3642

Higham, Nicholas J and Kim, Hyun-Min (2000) Numerical analysis of a quadratic matrix equation. IMA Journal of Numerical Analysis, 20. pp. 499-519. ISSN 1464-3642

Higham, Nicholas J and Kim, Hyun-Min (2001) Solving a quadratic matrix equation by Newton's method with exact line searches. SIAM Journal On Matrix Analysis And Applications, 23 (2). pp. 303-316. ISSN 1095-7162

Higham, Nicholas J. (1991) Algorithm 694: A Collection of Test Matrices in MATLAB. ACM Transactions on Mathematical Software, 17 (3). pp. 289-305. ISSN 0098-3500

Higham, Nicholas J. (1990) Bounding the error in Gaussian elimination for tridiagonal systems. SIAM Journal On Matrix Analysis And Applications, 11 (4). pp. 521-530. ISSN 1095-7162

Higham, Nicholas J. (2008) Cayley, Sylvester, and Early Matrix Theory. Linear Algebra Appl., 428. pp. 39-43. ISSN 0024-3795

Higham, Nicholas J. (2008) Cayley, Sylvester, and Early Matrix Theory. Linear Algebra Appl., 428. pp. 39-43. ISSN 0024-3795

Higham, Nicholas J. (1988) Computing a nearest symmetric positive semidefinite matrix. Linear Algebra and its Applications, 103. pp. 103-118. ISSN 0024-3795

Higham, Nicholas J. (1987) Computing real square roots of a real matrix. Linear Algebra and its Applications, 88-89. pp. 405-430. ISSN 0024-3795

Higham, Nicholas J. (2002) Computing the Nearest Correlation Matrix---A Problem from Finance. IMA Journal of Numerical Analysis, 22 (3). pp. 329-343. ISSN 0272-4979

Higham, Nicholas J. (1986) Computing the Polar Decomposition---with Applications. SIAM Journal of Scientific and Statistical Computing, 7 (4). pp. 1160-1174. ISSN 1064-8275

Higham, Nicholas J. (1986) Efficient Algorithms for Computing the Condition Number of a Tridiagonal Matrix. SIAM Journal of Scientific and Statistical Computing, 7 (1). pp. 150-165. ISSN 1064-8275

Higham, Nicholas J. (1992) Estimating the matrix p-norm. Numerische Mathematik, 62. pp. 539-555. ISSN 0945-3245

Higham, Nicholas J. (1990) Experience with a Matrix Norm Estimator. SIAM Journal on Scientific and Statistical Computing, 11 (4). pp. 804-809. ISSN 1095-7197

Higham, Nicholas J. (1990) Exploiting fast matrix multiplication within the level 3 BLAS. ACM Transactions on Mathematical Software, 16 (4). pp. 352-368. ISSN 0098-3500

Higham, Nicholas J. (1988) FORTRAN codes for estimating the one-norm of a real or complex matrix, with appliations to condition estimation. ACM Transactions on Mathematical Software, 14 (4). pp. 381-396. ISSN 0098-3500

Higham, Nicholas J. (1998) Factorizing complex symmetric matrices with positive definite real and imaginary parts. Mathematics of Computation, 67 (224). pp. 1591-1599. ISSN 1088-6842

Higham, Nicholas J. (2011) Gaussian Elimination. Wiley Interdisciplinary Reviews: Computational Statistics, 3 (3). pp. 230-238. ISSN 1939-0068

Higham, Nicholas J. (1991) Iterative refinement enhances the stability of QR factorization methods for solving linear equations. BIT Numerical Mathematics, 31. pp. 447-468. ISSN 1572-9125

Higham, Nicholas J. (2003) $J$-Orthogonal Matrices: Properties and Generation. SIAM Review, 45 (3). pp. 504-519. ISSN 0036-1445

Higham, Nicholas J. (1986) Newton's method for the matrix square root. Mathematics of Computation, 46 (174). pp. 537-549. ISSN 00255718

Higham, Nicholas J. (1993) Optimization by direct search in matrix computations. SIAM Journal On Matrix Analysis And Applications, 14 (2). pp. 317-333. ISSN 1095-7162

Higham, Nicholas J. (1993) Perturbation Theory and Backward Error for $AX-XB=C$. BIT Numerical Mathematics, 33. pp. 124-136. ISSN 1572-9125

Higham, Nicholas J. (2000) QR factorization with complete pivoting and accurate computation of the SVD. Elsevier, Linear Algebra and its Applications, 309. pp. 153-174. ISSN 0024-3795

Higham, Nicholas J. (2007) Review of Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators'', by Lloyd N. Trefethen and Mark Embree. Princeton University Press, Princeton, NJ, USA, 2005. Bull. Amer. Math. Soc., 44 (2). pp. 277-284. ISSN 1088-9485

Higham, Nicholas J. (2005) The Scaling and Squaring Method for the Matrix Exponential Revisited. SIAM Journal On Matrix Analysis and Applications, 26 (4). pp. 1179-1193. ISSN 1095-7162

Higham, Nicholas J. (2009) The Scaling and Squaring Method for the Matrix Exponential Revisited. SIAM Review, 51 (4). pp. 747-764. ISSN 0036-1445

Higham, Nicholas J. (1990) Stability analysis of algorithms for solving confluent Vandermonde-like systems. SIAM Journal On Matrix Analysis And Applications, 11 (1). pp. 23-41. ISSN 1095-7162

Higham, Nicholas J. (1992) Stability of a method for multiplying complex matrices with three real matrix multiplications. SIAM Journal On Matrix Analysis And Applications, 13 (3). pp. 681-687. ISSN 1095-7162

Higham, Nicholas J. (1995) Stability of parallel triangular system solvers. SIAM Journal on Scientific Computing, 16 (2). pp. 400-413. ISSN 1095-7197

Higham, Nicholas J. (1997) Stability of the diagonal pivoting method with partial pivoting. SIAM Journal On Matrix Analysis And Applications, 18 (1). pp. 52-65. ISSN 1095-7162

Higham, Nicholas J. (1997) Stable iterations for the matrix square root. Numerical Algorithms, 15 (2). pp. 227-242. ISSN 1572-9265

Higham, Nicholas J. (1987) A Survey of Condition Number Estimation for Triangular Matrices. SIAM Review, 29 (4). pp. 575-596. ISSN 0036-1445

Higham, Nicholas J. (2014) Sylvester's Influence on Applied Mathematics. Mathematics Today, 50 (4). pp. 202-206. ISSN 1361-2042

Higham, Nicholas J. (1994) The matrix sign decomposition and its relation to the polar decomposition. Linear Algebra and its Applications, 212-21. pp. 3-20. ISSN 0024-3795

Higham, Nicholas J. (1988) The symmetric Procrustes problem. BIT Numerical Mathematics, 28. pp. 133-143. ISSN 1572-9125

Higham, Nicholas J. and Al-Mohy, Awad H. (2010) Computing Matrix Functions. Acta Numerica, 19. 159 -208. ISSN 0962-4929

Higham, Nicholas J. and Al-Mohy, Awad H. (2010) Computing Matrix Functions. Acta Numerica, 19. 159 -208. ISSN 0962-4929

Higham, Nicholas J. and Cheng, Sheung Hun (1998) Modifying the interia of matrices arising in optimization. Linear Algebra and its Applications, 275-27. pp. 261-279. ISSN 0024-3795

Higham, Nicholas J. and Higham, Desmond J. (1989) Large growth factors in Gaussian elimination with pivoting. SIAM Journal On Matrix Analysis And Applications, 10 (2). pp. 155-164. ISSN 1095-7162

Higham, Nicholas J. and Kandolf, Peter (2017) Computing the Action of Trigonometric and Hyperbolic Matrix Functions. SIAM Journal on Scientific Computing, 39 (2). A613-A627. ISSN 1095-7197

Higham, Nicholas J. and Knight, Philip A. (1993) Finite precision behavior of stationary iteration for solving singular systems. Linear Algebra and its Applications, 192. pp. 165-186. ISSN 0024-3795

Higham, Nicholas J. and Knight, Philip A. (1995) Matrix powers in finite precision arithmetic. SIAM Journal On Matrix Analysis And Applications, 16 (2). pp. 343-358. ISSN 1095-7162

Higham, Nicholas J. and Konstantinov, Mihail and Mehrmann, Volker and Petkov, Petko (2004) The Sensitivity of Computational Control Problems. IEEE Control Systems Magazine, 24 (1). pp. 28-43. ISSN 0272-1708

Higham, Nicholas J. and Li, Ren-Cang and Tisseur, Françoise (2007) Backward Error of Polynomial Eigenproblems Solved by Linearization. SIAM Journal on Matrix Analysis and Applications, 29 (4). pp. 1218-1241. ISSN 0895-4798

Higham, Nicholas J. and Lin, Lijing (2013) An Improved Schur--Pade Algorithm for Fractional Powers of a Matrix and their Frechet Derivatives. SIAM. J. Matrix Anal. & Appl., 34 (3). pp. 1341-1360. ISSN 1095-7162

Higham, Nicholas J. and Lin, Lijing (2011) On $p$th Roots of Stochastic Matrices. Linear Algebra and its Applications, 435 (3). pp. 448-463. ISSN 1749-9097

Higham, Nicholas J. and Lin, Lijing (2011) A Schur--Pad\'e Algorithm for Fractional Powers of a Matrix. SIAM J. on Matrix Analysis and Applications, 32 (3). pp. 1056-1078. ISSN 0895-4798

Higham, Nicholas J. and Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise (2004) Computing the Polar Decomposition and the Matrix Sign Decomposition in Matrix Groups. SIAM Journal On Matrix Analysis and Applications, 25 (4). pp. 1178-1192. ISSN 1095-7162

Higham, Nicholas J. and Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise (2004) Computing the Polar Decomposition and the Matrix Sign Decomposition in Matrix Groups. SIAM Journal On Matrix Analysis and Applications, 25 (4). pp. 1178-1192. ISSN 1095-7162

Higham, Nicholas J. and Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise (2005) Functions Preserving Matrix Groups and Iterations for the Matrix Square Root. SIAM Journal On Matrix Analysis and Applications, 26 (3). pp. 849-877. ISSN 1095-7162

Higham, Nicholas J. and Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise (2005) Functions Preserving Matrix Groups and Iterations for the Matrix Square Root. SIAM Journal On Matrix Analysis and Applications, 26 (3). pp. 849-877. ISSN 1095-7162

Higham, Nicholas J. and Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise (2006) Symmetric Linearizations for Matrix Polynomials. SIAM Journal on Matrix Analysis and Applications, 29 (1). pp. 143-159. ISSN 0895-4798

Higham, Nicholas J. and Mackey, D. Steven and Tisseur, Françoise (2006) The Conditioning of Linearizations of Matrix Polynomials. SIAM J. Matrix Anal. Appl., 28 (4). pp. 1005-1028. ISSN 0895-4798

Higham, Nicholas J. and Mackey, D. Steven and Tisseur, Françoise (2009) Definite Matrix Polynomials and their Linearization by Definite Pencils. SIAM Journal on Matrix Analysis and Applications, 31 (2). 478 - 502. ISSN 0895-4798

Higham, Nicholas J. and Mackey, D. Steven and Tisseur, Françoise and Garvey, Seamus D. (2008) Scaling, Sensitivity and Stability in the Numerical Solution of Quadratic Eigenvalue Problems. International Journal for Numerical Methods in Engineering, 73 (3). pp. 344-360.

Higham, Nicholas J. and Mehl, Christian and Tisseur, Françoise (2010) The Canonical Generalized Polar Decomposition. SIAM Journal On Matrix Analysis and Applications, 31 (4). 2163 -2180. ISSN 0895-4798

Higham, Nicholas J. and Papadimitriou, Pythagoras (1994) A parallel algorithm for computing the polar decomposition. Elsevier, Parallel Computing, 20. pp. 1161-1173. ISSN 0024-3795

Higham, Nicholas J. and Pothen, Alex (1994) Stability of the partitioned inverse method for parallel solution of sparse triangular systems. SIAM Journal on Scientific Computing, 15 (1). pp. 139-148. ISSN 1095-7197

Higham, Nicholas J. and Relton, Samuel D. (2014) Estimating the Condition Number of the Frechet Derivative of a Matrix Function. SIAM Journal on Scientific Computing, 36 (6). C617-C634. ISSN 1064-8275

Higham, Nicholas J. and Relton, Samuel D. (2014) Higher Order Frechet Derivatives of Matrix Functions and the Level-2 Condition Number. SIAM Journal on Matrix Analysis and Applications, 35 (3). pp. 1019-1037. ISSN 1095-7162

Higham, Nicholas J. and Schreiber, Robert S. (1990) Fast polar decomposition of an arbitrary matrix. SIAM Journal on Scientific and Statistical Computing, 11 (4). pp. 648-655. ISSN 1095-7197

Higham, Nicholas J. and Strabić, Nataša (2015) Anderson Acceleration of the Alternating Projections Method for Computing the Nearest Correlation Matrix. Numerical Algorithms. pp. 1-22. ISSN 1017-1398

Higham, Nicholas J. and Strabić, Nataša (2016) Anderson Acceleration of the Alternating Projections Method for Computing the Nearest Correlation Matrix. Numerical Algorithms, 72 (4). pp. 1021-1042. ISSN 1572-9265

Higham, Nicholas J. and Strabić, Nataša (2016) Bounds for the Distance to the Nearest Correlation Matrix. SIAM Journal on Matrix Analysis and Applications, 37 (3). pp. 1088-1102. ISSN 1095-7162

Higham, Nicholas J. and Strabić, Nataša and Šego, Vedran (2016) Restoring Definiteness via Shrinking, with an Application to Correlation Matrices with a Fixed Block. SIAM Review, 58 (2). pp. 245-263. ISSN 1095-7200

Higham, Nicholas J. and Tisseur, Françoise (2002) More on pseudospectra for polynomial eigenvalue problems and applications in control theory. Elsevier, Linear Algebra and its Applications, 351-35. pp. 435-453. ISSN 0024-3795

Higham, Nicholas J. and Tisseur, Françoise (2000) A block algorithm for matrix 1-norm estimation, with an application to 1-norm pseudospectra. SIAM Journal On Matrix Analysis And Applications, 21 (4). pp. 1185-1201. ISSN 1095-7162

Higham, Nicholas J. and Tisseur, Françoise and Van Dooren, Paul M. (2002) Detecting a definite Hermitian pair and a hyperbolic or elliptic quadratic eigenvalue problem, and associated nearness problems. Elsevier, Linear Algebra and its Applications, 351-35. pp. 455-474. ISSN 0024-3795

Hook, James and Tisseur, Francoise (2017) Incomplete LU preconditioner based on max-plus approximation of LU factorization. SIAM Journal On Matrix Analysis And Applications, 38 (4). pp. 1160-1189. ISSN 1095-7162

Jeannerod, Claude-Pierre and Mary, Theo and Pernet, Clément and Roche, Daniel (2019) Improving the Complexity of Block Low-Rank Factorizations with Fast Matrix Arithmetic. SIAM Journal On Matrix Analysis And Applications, 40 (4). pp. 1478-1496. ISSN 1095-7162

Khudaverdian, Hovhannes M. and Voronov, Theodore (2005) Berezinians, exterior powers and recurrent sequences. Letters in Mathematical Physics, 74 (2). pp. 201-228. ISSN 1573-0530

Liu, Jia and Hewitt, W. T. and Lionheart, W.R.B. and Montaldi, J and Turner, M. (2008) A Lemon is not a Monstar: visualization of singularities of symmetric second rank tensor fields in the plane. Eurographics UK Theory and Practice of Computer Graphics (2008). pp. 99-106.

Mackey, D. S. and Mackey, Niloufer and Tissuer, Françoise (2004) G-reflectors: Analogues of householder transformations in scalar product spaces. Linear Algebra and its Applications, 385. pp. 187-213. ISSN 0024-3795

Mackey, D. Steven and Mackey, Niloufer and Mehl, Christian and Mehrmann, Volker (2007) Numerical methods for palindromic eigenvalue problems: Computing the anti-triangular Schur form. Numerical Linear Algebra with Applications. (In Press)

Mackey, D. Steven and Mackey, Niloufer and Mehl, Christian and Mehrmann, Volker (2006) Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations. SIAM J. Matrix Anal. Appl., 28 (4). pp. 1029-1051. ISSN 0895-4798

Mackey, D. Steven and Mackey, Niloufer and Mehl, Christian and Mehrmann, Volker (2006) Vector Spaces of Linearizations for Matrix Polynomials. SIAM J. Matrix Anal. Appl., 28 (4). pp. 971-1004. ISSN 0895-4798

Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise (2004) G-Reflectors: Analogues of Householder Transformations in Scalar Product Spaces. Linear Algebra and its Applications, 385. pp. 187-213. ISSN 0024-3795

Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise (2003) Structured tools for structured matrices. Electronic Journal of Linear Algebra, 10. pp. 106-145. ISSN 1081-3810

Mackey, D.S. and Mackey, N. and Tisseur, F. (2006) Structured Factorizations in Scalar Product Spaces. SIAM Journal on Matrix Analysis and Applications, 27 (3). pp. 821-850. ISSN 1095-7162

Nakatsukasa, Yuji (2011) Gerschgorin's theorem for generalized eigenvalue problems in the Euclidean metric. Mathematics of Computation, 80 (276). pp. 2127-2142. ISSN 1088-6842(e)

Nakatsukasa, Yuji and Higham, Nicholas J. (2011) Backward stability of iterations for computing the polar decomposition. SIAM Journal On Matrix Analysis and Applications. ISSN 1749-9097 (In Press)

Nakatsukasa, Yuji and Higham, Nicholas J. (2012) Backward stability of iterations for computing the polar decomposition. SIAM Journal on Matrix Analysis and Applications, 33 (2). pp. 460-479. ISSN 0895-4798

Nakatsukasa, Yuji and Higham, Nicholas J. (2013) Stable and Efficient Spectral Divide and Conquer Algorithms for the Symmetric Eigenvalue Decomposition and the SVD. SIAM J. Sci. Comput., 35 (3). A1325-A1349. ISSN 1095-7197

Noferini, Vanni (2016) A formula for the Frechet derivative of a generalized matrix function. SIAM Journal of Matrix Analysis and Applications (2016.2). ISSN 1749-9097 (In Press)

Noferini, Vanni and Sharify, Meisam and Tisseur, Francoise (2015) Tropical roots as approximations to eigenvalues of matrix polynomials. SIAM Journal on Matrix Analysis and Applications, 36 (1). pp. 138-157.

Powell, Catherine (2005) Parameter-free H(div) preconditioning for mixed finite element formulation of diffusion problems. IMA Journal of Numerical Analysis, 25 (4). pp. 783-796. ISSN 1464-3642

Powell, Catherine and Silvester, David (2003) Black-Box Preconditioning for Self-Adjoint Elliptic PDEs. Lecture Notes in Computational Science and Engineering (Springer), 35. pp. 268-285. ISSN 3-540-40887-8

Powell, Catherine and Silvester, David (2003) Optimal Preconditioning for Raviart-Thomas Mixed Formulation of Second-Order Elliptic Problems. SIAM Journal on Matrix Analysis and Applications, 25 (3). pp. 718-738. ISSN 0895-4798

Soleimani, M. and Powell, C.E. and Polydorides, N. (2005) Improving the forward solver for the complete electrode model in EIT using algebraic multigrid. IEEE Transactions on Medical Imaging, 24 (5). pp. 577-584. ISSN 0278-0062

Tisseur, Françoise and Dedieu, Jean-Pierre (2003) Perturbation theory for homogeneous polynomial eigenvalue problems. Linear Algebra and its Applications, 385 (1). pp. 71-74. ISSN 0024-3795

Tisseur, Françoise (2003) A Chart of Backward Errors for Singly and Doubly Structured Eigenvalue Problems. SIAM Journal on Matrix Analysis and Applications, 24 (3). pp. 877-897. ISSN 1095-7162

Tisseur, Françoise (1997) Parallel Implementation of the Yau and Lu Method for Eigenvalue Computation. International Journal of Supercomputer Applications and High Performance Computing, 11 (3). pp. 197-204. ISSN 1741-2846

Tisseur, Françoise (2001) Stability of Structured Hamiltonian Eigensolvers. SIAM Journal on Matrix Analysis and Applications, 23 (1). pp. 103-125. ISSN 1095-7162

Tisseur, Françoise (2004) Tridiagonal-diagonal reduction of symmetric indefinite pairs. SIAM Journal On Matrix Analysis And Applications, 26 (1). pp. 215-232. ISSN 0895-4798

Tisseur, Françoise and Higham, Nicholas J. (2001) Structured pseudospectra for polynomial eigenvalue problems, with applications. SIAM Journal On Matrix Analysis And Applications, 23 (1). pp. 187-208. ISSN 1095-7162

Tisseur, Françoise and Zaballa, Ion (2013) Triangularizing Quadratic Matrix Polynomials. SIAM J. MATRIX ANAL. APPL., 34 (2). pp. 312-337. ISSN 1749-9097

Tisseur, Françoise Tisseur (2001) Newton's Method in Floating Point Arithmetic and Iterative Refinement of Generalized Eigenvalue Problems. SIAM Journal on Matrix Analysis and Applications, 22 (4). pp. 1038-1057. ISSN 1095-7162

Zhang, Weijian and Higham, Nicholas J. (2016) Matrix Depot: An Extensible Test Matrix Collection for Julia. PeerJ Computer Science, 2. e58. ISSN 2167-8359

## MIMS Preprint

Al-Ammari, Maha and Tisseur, Francoise (2011) Standard Triples of Structured Matrix Polynomials. [MIMS Preprint]

Al-Ammari, Maha and Tisseur, Francoise (2011) Standard Triples of Structured Matrix Polynomials. [MIMS Preprint]

Akian, Marianne and Gaubert, Stéphane and Sharify, Meisam (2013) Log-majorization of the moduli of the eigenvalues of a matrix polynomial by tropical roots. [MIMS Preprint]

Al-Ammari, Maha and Tisseur, Francoise (2010) Hermitian Matrix Polynomials with Real Eigenvalues of Definite Type. Part I: Classification. [MIMS Preprint]

Al-Ammari, Maha and Tisseur, Francoise (2010) Hermitian Matrix Polynomials with Real Eigenvalues of Definite Type. Part I: Classification. [MIMS Preprint]

Al-Mohy, Awad H. (2015) An Efficient Bound for the Condition Number of the Matrix Exponential. [MIMS Preprint]

Al-Mohy, Awad H. (2011) A More Accurate Briggs Method for the Logarithm. [MIMS Preprint]

Al-Mohy, Awad H. (2017) A New Algorithm for Computing the Actions of Trigonometric and Hyperbolic Matrix Functions. [MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J. (2009) The Complex Step Approximation to the Fréchet Derivative of a Matrix Function. [MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J. (2009) The Complex Step Approximation to the Fréchet Derivative of a Matrix Function. [MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J. (2010) Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators. [MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J. (2010) Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators. [MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J. (2011) Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm. [MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J. (2011) Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm. [MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J. (2009) A New Scaling and Squaring Algorithm for the Matrix Exponential. [MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J. (2009) A New Scaling and Squaring Algorithm for the Matrix Exponential. [MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J. and Relton, Samuel D. (2012) Computing the Frechet Derivative of the Matrix Logarithm and Estimating the Condition Number. [MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J. and Relton, Samuel D. (2012) Computing the Frechet Derivative of the Matrix Logarithm and Estimating the Condition Number. [MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J. and Relton, Samuel D. (2012) Computing the Frechet Derivative of the Matrix Logarithm and Estimating the Condition Number. [MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J. and Relton, Samuel D. (2014) New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously. [MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J. and Relton, Samuel D. (2014) New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously. [MIMS Preprint]

Amestoy, Patrick and Buttari, Alfredo and L'Excellent, Jean-Yves and Mary, Theo (2018) Bridging the gap between flat and hierarchical low-rank matrix formats: the multilevel BLR format. [MIMS Preprint] (In Press)

Amparan, A. and Dopico, F.M. and Marcaida, S. and Zaballa, I. (2016) Strong linearizations of rational matrices. [MIMS Preprint]

Andrew, Robert and Dingle, Nicholas J. (2012) Implementing QR Factorization Updating Algorithms on GPUs. [MIMS Preprint]

Anguas, Luis M. and Dopico, Froilán M. and Hollister, Richard and Mackey, D. Steven (2018) Van Dooren's Index Sum Theorem and Rational Matrices with Prescribed Structural Data. [MIMS Preprint]

Anzt, Hartwig and Dongarra, Jack and Flegar, Goran and Higham, Nicholas J. and Quintana-Orti, Enrique S. (2017) Adaptive Precision in Block-Jacobi Preconditioning for Iterative Sparse Linear System Solvers. [MIMS Preprint] (In Press)

Aprahamian, Mary and Higham, Desmond J. and Higham, Nicholas J. (2015) Matching Exponential-Based and Resolvent-Based Centrality Measures. [MIMS Preprint]

Aprahamian, Mary and Higham, Desmond J. and Higham, Nicholas J. (2015) Matching Exponential-Based and Resolvent-Based Centrality Measures. [MIMS Preprint]

Aprahamian, Mary and Higham, Desmond J. and Higham, Nicholas J. (2015) Matching Exponential-Based and Resolvent-Based Centrality Measures. [MIMS Preprint]

Aprahamian, Mary and Higham, Nicholas J. (2016) Matrix Inverse Trigonometric and Inverse Hyperbolic Functions: Theory and Algorithms. [MIMS Preprint]

Aprahamian, Mary and Higham, Nicholas J. (2016) Matrix Inverse Trigonometric and Inverse Hyperbolic Functions: Theory and Algorithms. [MIMS Preprint]

Aprahamian, Mary and Higham, Nicholas J. (2013) The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential. [MIMS Preprint]

Aprahamian, Mary and Higham, Nicholas J. (2013) The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential. [MIMS Preprint]

Aprahamian, Mary and Higham, Nicholas J. (2013) The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential. [MIMS Preprint]

Aprahamian, Mary and Higham, Nicholas J. (2013) The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential. [MIMS Preprint]

Arrigo, Francesca and Grindrod, Peter and Higham, Desmond J. and Noferini, Vanni (2017) Nonbacktracking walk centrality for directed networks. [MIMS Preprint]

Arrigo, Francesca and Grindrod, Peter and Higham, Desmond J. and Noferini, Vanni (2017) On the exponential generating function for non-backtracking walks. [MIMS Preprint]

Berljafa, Mario and Güttel, Stefan (2014) Generalized rational Krylov decompositions with an application to rational approximation. [MIMS Preprint]

Berljafa, Mario and Güttel, Stefan (2014) Generalized rational Krylov decompositions with an application to rational approximation. [MIMS Preprint]

Betcke, Timo and Higham, Nicholas J. and Mehrmann, Volker and Negri Porzio, Gian Maria and Schröder, Christian and Tisseur, Françoise (2011) NLEVP: A Collection of Nonlinear Eigenvalue Problems. Users' Guide. [MIMS Preprint]

Betcke, Timo and Higham, Nicholas J. and Mehrmann, Volker and Schröder, Christian and Tisseur, Françoise (2008) NLEVP: A Collection of Nonlinear Eigenvalue Problems. [MIMS Preprint]

Betcke, Timo and Higham, Nicholas J. and Mehrmann, Volker and Schröder, Christian and Tisseur, Françoise (2010) NLEVP: A Collection of Nonlinear Eigenvalue Problems. [MIMS Preprint]

Betcke, Timo and Higham, Nicholas J. and Mehrmann, Volker and Schröder, Christian and Tisseur, Françoise (2011) NLEVP: A Collection of Nonlinear Eigenvalue Problems. [MIMS Preprint]

Betcke, Timo and Higham, Nicholas J. and Mehrmann, Volker and Schröder, Christian and Tisseur, Françoise (2010) NLEVP: A Collection of Nonlinear Eigenvalue Problems. Users' Guide. [MIMS Preprint]

Bethune, Iain and Bull, J. Mark and Dingle, Nicholas J. and Higham, Nicholas J. (2011) Investigating the Performance of Asynchronous Jacobi's Method for Solving Systems of Linear Equations. [MIMS Preprint]

Bethune, Iain and Bull, J. Mark and Dingle, Nicholas J. and Higham, Nicholas J. (2011) Investigating the Performance of Asynchronous Jacobi's Method for Solving Systems of Linear Equations. [MIMS Preprint]

Bethune, Iain and Bull, J. Mark and Dingle, Nicholas J. and Higham, Nicholas J. (2012) Performance analysis of asynchronous Jacobi's method implemented in MPI, SHMEM and OpenMP. [MIMS Preprint]

Borsdorf, Rüdiger and Higham, Nicholas J. and Raydan, Marcos (2009) Computing a Nearest Correlation Matrix with Factor Structure. [MIMS Preprint]

Borsdorf, Rüdiger and Higham, Nicholas J. and Raydan, Marcos (2009) Computing a Nearest Correlation Matrix with Factor Structure. [MIMS Preprint]

Boshnakov, Georgi (2006) Singular value decomposition of multi-companion matrices. [MIMS Preprint]

Broomhead, David and Furber, Steve and Johnson, Marianne (2012) An algebraic approach to time borrowing. [MIMS Preprint]

Byers, Ralph and Mackey, D. Steven and Mehrmann, Volker and Xu, Hongguo (2008) Symplectic, BVD, and Palindromic Approaches to Discrete-Time Control Problems. [MIMS Preprint]

Carson, Erin and Higham, Nicholas J. (2017) A New Analysis of Iterative Refinement and its Application to Accurate Solution of Ill-Conditioned Sparse Linear Systems. [MIMS Preprint]

Chahlaoui, Younes (2011) An interview with Paul Van Dooren. [MIMS Preprint]

Chen, Jiahao and Zhang, Weijian (2016) The Right Way to Search Evolving Graphs. [MIMS Preprint]

Chen, Jiahao and Zhang, Weijian (2016) The Right Way to Search Evolving Graphs. [MIMS Preprint]

Chen, Jiahao and Zhang, Weijian (2016) The Right Way to Search Evolving Graphs. [MIMS Preprint]

Corless, Robert M. and Ding, Hui and Higham, Nicholas J. and Jeffrey, David J. (2007) The Solution of S exp(S) = A is Not Always the Lambert W Function of A. [MIMS Preprint]

De Teran, Fernando and Dopico, Froilan and Mackey, D. Steven (2011) Fiedler companion linearizations for rectangular matrix polynomials. [MIMS Preprint]

De Teran, Fernando and Dopico, Froilan and Mackey, D. Steven and Perovic, Vasilije (2017) Quadratic Realizability of Palindromic Matrix Polynomials. [MIMS Preprint]

De Teran, Fernando and Dopico, Froilan and Mackey, D. Steven and Van Dooren, Paul (2015) Polynomial Zigzag Matrices, Dual Minimal Bases, and the Realization of Completely Singular Polynomials. [MIMS Preprint]

De Teran, Fernando and Dopico, Froilan and Mackey, D. Steven and Van Dooren, Paul (2015) Polynomial Zigzag Matrices, Dual Minimal Bases, and the Realization of Completely Singular Polynomials. [MIMS Preprint]

De Teran, Fernando and Dopico, Froilan M. and Mackey, D. Steven (2009) Fiedler Companion Linearizations and the Recovery of Minimal Indices. [MIMS Preprint]

De Teran, Fernando and Dopico, Froilan M. and Mackey, D. Steven (2009) Fiedler Companion Linearizations and the Recovery of Minimal Indices. [MIMS Preprint]

De Teran, Fernando and Dopico, Froilan M. and Mackey, D. Steven (2010) Palindromic Companion Forms for Matrix Polynomials of Odd Degree. [MIMS Preprint]

De Teran, Fernando and Dopico, Froilan M. and Mackey, D. Steven (2013) Spectral equivalence of matrix polynomials and the index sum theorem. [MIMS Preprint]

De Teran, Fernando and Dopico, Froilan M. and Mackey, D. Steven (2010) Structured Linearizations for Palindromic Matrix Polynomials of Odd Degree. [MIMS Preprint]

De Teran, Fernando and Dopico, Frolian M. and Mackey, D. Steven (2009) Linearizations of Singular Matrix Polynomials and the Recovery of Minimal Indices. [MIMS Preprint]

De Teran, Fernando and Dopico, Frolian M. and Mackey, D. Steven (2009) Linearizations of Singular Matrix Polynomials and the Recovery of Minimal Indices. [MIMS Preprint]

De Teran, Fernando and Lippert, Ross and Nakatsukasa, Yuji and Noferini, Vanni (2013) Flanders' theorem for many matrices under commutativity assumptions. [MIMS Preprint]

De Teran, Fernando and Nakatsukasa, Yuji and Noferini, Vanni (2013) Flandersâ�� theorem for many matrices under commutativity assumptions. [MIMS Preprint]

De Terán, Fernando and Dopico, Froilán M. and Pérez, Javier (2014) Technical report on backward stability of polynomial root-finding using Fiedler companion matrices. [MIMS Preprint]

Deadman, Edvin (2014) Estimating the Condition Number of f(A)b. [MIMS Preprint]

Deadman, Edvin (2014) Estimating the Condition Number of f(A)b. [MIMS Preprint]

Deadman, Edvin and Higham, Nicholas J. and Ralha, Rui (2012) Blocked Schur Algorithms for Computing the Matrix Square Root. [MIMS Preprint]

Deadman, Edvin and Higham, Nicholas J. and Ralha, Rui (2012) A Recursive Blocked Schur Algorithm for Computing the Matrix Square Root. [MIMS Preprint]

Deadman, Edvin and Relton, Samuel (2015) Taylor's Theorem for Matrix Functions with Applications to Condition Number Estimation. [MIMS Preprint]

Deadman, Edvin and Relton, Samuel (2015) Taylor's Theorem for Matrix Functions with Applications to Condition Number Estimation. [MIMS Preprint]

Dingle, Nicholas J. (2013) Inexact Sparse Matrix-Vector Products in the Calculation of Passage Time Distributions in Large Semi-Markov Models. [MIMS Preprint]

Dopico, Froilán M. and Lawrence, Piers W. and Pérez, Javier and Van Dooren, Paul (2016) Block Kronecker Linearizations of Matrix Polynomials and their Backward Errors. [MIMS Preprint]

Fasi, Massimiliano (2018) Optimality of the Paterson-Stockmeyer method for evaluating matrix polynomials and rational matrix functions. [MIMS Preprint] (Submitted)

Fasi, Massimiliano and Higham, Nicholas J. (2018) An Arbitrary Precision Scaling and Squaring Algorithm for the Matrix Exponential. [MIMS Preprint] (In Press)

Fasi, Massimiliano and Higham, Nicholas J. and Iannazzo, Bruno (2014) An Algorithm for the Matrix Lambert W Function. [MIMS Preprint]

Fasi, Massimiliano and Higham, Nicholas J. and Iannazzo, Bruno (2014) An Algorithm for the Matrix Lambert W Function. [MIMS Preprint]

Fasi, Massimiliano and Iannazzo, Bruno (2018) Computing primary solutions of equations involving primary matrix functions. [MIMS Preprint]

Fasi, Massimiliano and Iannazzo, Bruno (2016) Computing the weighted geometric mean of two large-scale matrices and its inverse times a vector. [MIMS Preprint]

Fasi, Massimiliano and Iannazzo, Bruno (2016) Computing the weighted geometric mean of two large-scale matrices and its inverse times a vector. [MIMS Preprint]

Fasi, Massimiliano and Iannazzo, Bruno (2019) Substitution algorithms for rational matrix equations. [MIMS Preprint]

Fasi, Massimiliano and Iannazzo, Bruno (2020) The dual inverse scaling and squaring algorithm for the matrix logarithm. [MIMS Preprint]

Fasi, Massimiliano and Negri Porzio, Gian Maria (2019) Determinants of Normalized Bohemian Upper Hessemberg Matrices. [MIMS Preprint]

Fassbender, H. and Mackey, D. S. and Mackey, N. and Schroder, C. (2009) Structured Polynomial Eigenproblems Related to Time-Delay Systems. [MIMS Preprint]

Furnival, Darran and Elman, Howard and Powell, Catherine (2008) H(div) Preconditioning for a Mixed Finite Element Formulation of the Stochastic Diffusion Problem. [MIMS Preprint]

Georgescu, Dan I. and Higham, Nicholas J. and Peters, Gareth W. (2017) Explicit Solutions to Correlation Matrix Completion Problems, with an Application to Risk Management and Insurance. [MIMS Preprint]

Grammont, Laurence and Higham, Nicholas J. and Tisseur, Françoise (2009) A Framework for Analyzing Nonlinear Eigenproblems and Parametrized Linear Systems. [MIMS Preprint]

Guo, Chun-Hua and Higham, Nicholas J. (2005) Iterative Solution of a Nonsymmetric Algebraic Riccati Equation. [MIMS Preprint]

Guo, Chun-Hua and Higham, Nicholas J. (2006) Iterative Solution of a Nonsymmetric Algebraic Riccati Equation. [MIMS Preprint]

Guo, Chun-Hua and Higham, Nicholas J. (2006) A Schur-Newton Method for the Matrix p'th Root and its Inverse. [MIMS Preprint]

Guo, Chun-Hua and Higham, Nicholas J. and Tisseur, Françoise (2007) Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems. [MIMS Preprint]

Guo, Chun-Hua and Higham, Nicholas J. and Tisseur, Françoise (2007) Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems. [MIMS Preprint]

Guo, Chun-Hua and Higham, Nicholas J. and Tisseur, Françoise (2008) An Improved Arc Algorithm for Detecting Definite Hermitian Pairs. [MIMS Preprint]

Guo, Chun-Hua and Higham, Nicholas J. and Tisseur, Françoise (2008) An Improved Arc Algorithm for Detecting Definite Hermitian Pairs. [MIMS Preprint]

Güttel, Stefan and Yuji, Nakatsukasa (2015) Scaled and squared subdiagonal Padé approximation for the matrix exponential. [MIMS Preprint]

Hale, Nicholas and Higham, Nicholas J. and Trefethen, Lloyd N. (2007) Computing $A^\alpha$, $\log(A)$ and Related Matrix Functions by Contour Integrals. [MIMS Preprint]

Hammarling, Sven and Higham, Nicholas J. and Lucas, Craig (2006) LAPACK-Style Codes for Pivoted Cholesky and QR Updating. [MIMS Preprint]

Hammarling, Sven and Higham, Nicholas J. and Lucas, Craig (2007) LAPACK-Style Codes for Pivoted Cholesky and QR Updating. [MIMS Preprint]

Hammarling, Sven and Lucas, Craig (2008) Updating the QR factorization and the least squares problem. [MIMS Preprint]

Hargreaves, Gareth I. (2002) Interval Analysis in Matlab. [MIMS Preprint]

Heike, Fassbender and Javier, Perez Alvaro and Nikta, Shayanfar (2015) A sparse linearization for Hermite interpolation matrix polynomials. [MIMS Preprint]

Higham, Desmond J. and Higham, Nicholas J. and Pranesh, Srikara (2020) Random Matrices Generating Large Growth in LU Factorization with Pivoting. [MIMS Preprint]

Higham, Nicholas J and Noferini, Vanni (2015) An algorithm to compute the polar decomposition of a 3x3 matrix. [MIMS Preprint]

Higham, Nicholas J. (2007) Cayley, Sylvester, and Early Matrix Theory. [MIMS Preprint]

Higham, Nicholas J. (2007) Cayley, Sylvester, and Early Matrix Theory. [MIMS Preprint]

Higham, Nicholas J. (2008) Cholesky Factorization. [MIMS Preprint]

Higham, Nicholas J. (2005) Functions of Matrices. [MIMS Preprint]

Higham, Nicholas J. (2008) An Interview with Gene Golub. [MIMS Preprint]

Higham, Nicholas J. (2005) An Interview with Peter Lancaster. [MIMS Preprint]

Higham, Nicholas J. (2013) Matrix Computations in Basic on a Microcomputer. [MIMS Preprint]

Higham, Nicholas J. and Deadman, Edvin (2014) A Catalogue of Software for Matrix Functions. Version 1.0. [MIMS Preprint]

Higham, Nicholas J. and Deadman, Edvin (2016) A Catalogue of Software for Matrix Functions. Version 2.0. [MIMS Preprint]

Higham, Nicholas J. and Deadman, Edvin (2016) A Catalogue of Software for Matrix Functions. Version 2.0. [MIMS Preprint]

Higham, Nicholas J. and Deadman, Edvin (2016) A Catalogue of Software for Matrix Functions. Version 2.0. [MIMS Preprint]

Higham, Nicholas J. and Hopkins, Edvin (2020) A Catalogue of Software for Matrix Functions. Version 3.0. [MIMS Preprint]

Higham, Nicholas J. and Kandolf, Peter (2016) Computing the Action of Trigonometric and Hyperbolic Matrix Functions. [MIMS Preprint]

Higham, Nicholas J. and Kandolf, Peter (2016) Computing the Action of Trigonometric and Hyperbolic Matrix Functions. [MIMS Preprint]

Higham, Nicholas J. and Lijing, Lin (2013) Matrix Functions: A Short Course. [MIMS Preprint]

Higham, Nicholas J. and Lin, Lijing (2013) An Improved Schur--Pade Algorithm for Fractional Powers of a Matrix and their Frechet Derivatives. [MIMS Preprint]

Higham, Nicholas J. and Lin, Lijing (2009) On $p$th Roots of Stochastic Matrices. [MIMS Preprint]

Higham, Nicholas J. and Lin, Lijing (2010) A Schur--Pad\'e Algorithm for Fractional Powers of a Matrix. [MIMS Preprint]

Higham, Nicholas J. and Lin, Lijing (2010) A Schur--Pad\'e Algorithm for Fractional Powers of a Matrix. [MIMS Preprint]

Higham, Nicholas J. and Lin, Lijing (2010) A Schur--Pad\'e Algorithm for Fractional Powers of a Matrix. [MIMS Preprint]

Higham, Nicholas J. and Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise (2005) Symmetric Linearizations for Matrix Polynomials. [MIMS Preprint]

Higham, Nicholas J. and Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise (2006) Symmetric Linearizations for Matrix Polynomials. [MIMS Preprint]

Higham, Nicholas J. and Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise (2006) Symmetric Linearizations for Matrix Polynomials. [MIMS Preprint]

Higham, Nicholas J. and Mackey, D. Steven and Tisseur, Françoise (2005) The Conditioning of Linearizations of Matrix Polynomials. [MIMS Preprint]

Higham, Nicholas J. and Mackey, D. Steven and Tisseur, Françoise (2007) Definite Matrix Polynomials and their Linearization by Definite Pencils. [MIMS Preprint]

Higham, Nicholas J. and Mackey, D. Steven and Tisseur, Françoise (2007) Definite Matrix Polynomials and their Linearization by Definite Pencils. [MIMS Preprint]

Higham, Nicholas J. and Mackey, D. Steven and Tisseur, Françoise (2007) Definite Matrix Polynomials and their Linearization by Definite Pencils. [MIMS Preprint]

Higham, Nicholas J. and Mackey, D. Steven and Tisseur, Françoise (2007) Notes on Hyperbolic Matrix Polynomials and Definite Linearizations. [MIMS Preprint]

Higham, Nicholas J. and Mackey, D. Steven and Tisseur, Françoise and Garvey, Seamus D. (2006) Scaling, Sensitivity and Stability in the Numerical Solution of Quadratic Eigenvalue Problems. [MIMS Preprint]

Higham, Nicholas J. and Mackey, D. Steven and Tisseur, Françoise and Garvey, Seamus D. (2007) Scaling, Sensitivity and Stability in the Numerical Solution of Quadratic Eigenvalue Problems. [MIMS Preprint]

Higham, Nicholas J. and Mary, Theo (2018) A New Preconditioner that Exploits Low-Rank Approximations to Factorization Error. [MIMS Preprint]

Higham, Nicholas J. and Mehl, Christian and Tisseur, Françoise (2009) The Canonical Generalized Polar Decomposition. [MIMS Preprint]

Higham, Nicholas J. and Mehl, Christian and Tisseur, Françoise (2009) The Canonical Generalized Polar Decomposition. [MIMS Preprint]

Higham, Nicholas J. and Relton, Samuel D. (2013) Estimating the Condition Number of the Frechet Derivative of a Matrix Function. [MIMS Preprint]

Higham, Nicholas J. and Relton, Samuel D. (2013) Higher Order Frechet Derivatives of Matrix Functions and the Level-2 Condition Number. [MIMS Preprint]

Higham, Nicholas J. and Strabic, Natasa and Sego, Vedran (2014) Restoring Definiteness via Shrinking, with an Application to Correlation Matrices with a Fixed Block. [MIMS Preprint]

Higham, Nicholas J. and Strabic, Natasa and Sego, Vedran (2014) Restoring Definiteness via Shrinking, with an Application to Correlation Matrices with a Fixed Block. [MIMS Preprint]

Higham, Nicholas J. and Strabić, Nataša (2015) Anderson Acceleration of the Alternating Projections Method for Computing the Nearest Correlation Matrix. [MIMS Preprint]

Higham, Nicholas J. and Strabić, Nataša (2015) Anderson Acceleration of the Alternating Projections Method for Computing the Nearest Correlation Matrix. [MIMS Preprint]

Higham, Nicholas J. and Strabić, Nataša (2015) Bounds for the Distance to the Nearest Correlation Matrix. [MIMS Preprint]

Higham, Nicholas J. and Strabić, Nataša (2015) Bounds for the Distance to the Nearest Correlation Matrix. [MIMS Preprint]

Higham, Nicholas J. and Strabić, Nataša (2015) Bounds for the Distance to the Nearest Correlation Matrix. [MIMS Preprint]

Hook, J (2011) Products of random Max-plus matrices. [MIMS Preprint]

Hook, James (2014) Max-Plus Singular Values. [MIMS Preprint]

Hook, James (2014) Max-Plus Singular Values. [MIMS Preprint]

Hook, James (2015) Max-plus LU. [MIMS Preprint]

Hook, James (2015) Squish scaling. [MIMS Preprint]

Hook, James and Broomhead, Dave (2011) Stochastic production trees as products of i.i.d. componentwise exponential max-plus matrices. [MIMS Preprint]

Hook, James and Pestana, Jennifer and Tisseur, Francoise (2015) Max-Balancing Hungarian Scalings. [MIMS Preprint]

Hook, James and Pestana, Jennifer and Tisseur, Francoise and Hogg, Jonathan (2015) Max-Balanced Hungarian Scalings. [MIMS Preprint]

Hook, James and Tisseur, Francoise (2016) Incomplete LU preconditioner based on max-plus approximation of LU factorization. [MIMS Preprint]

Hook, James and Tisseur, Françoise (2014) Tropical Eigenvalues. [MIMS Preprint]

Kannan, Ramaseshan (2012) Efficient sparse matrix multiple-vector multiplication using a bitmapped format. [MIMS Preprint]

Kannan, Ramaseshan and Hendry, Stephen and Higham, Nicholas J. and Tisseur, Francoise (2013) Detecting the Causes of Ill-Conditioning in Structural Finite Element Models. [MIMS Preprint]

Karlsson, Lars and Tisseur, Francoise (2014) Algorithms for Hessenberg-Triangular Reduction of Fiedler Linearization of Matrix Polynomials. [MIMS Preprint]

Lancaster, Peter (2006) Model-Updating for Symmetric Quadratic Eigenvalue Problems. [MIMS Preprint]

Lancaster, Peter and Psarrakos, Panayiotis (2006) A Note on Weak and Strong Linearizations of Regular Matrix Polynomials. [MIMS Preprint]

Lancaster, Peter and Tisseur, Françoise (2010) Hermitian Quadratic Matrix Polynomials: Solvents and Inverse Problems. [MIMS Preprint]

Lawrence, Piers and Perez, Javier (2016) Constructing strong linearizations of matrix polynomials expressed in the Chebyshev bases. [MIMS Preprint]

Li, Ren-Cang and Nakatsukasa, Yuji and Truhar, Ninoslav and Wang, Wei-guo (2012) Perturbation of multiple eigenvalues of Hermitian matrices. [MIMS Preprint]

Liu, Jia and Hewitt, W. T. and Lionheart, W.R.B. and Montaldi, J and Turner, M. (2008) A Lemon is not a Monstar: visualization of singularities of symmetric second rank tensor fields in the plane. [MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Mehl, Christian and Mehrmann, Volker (2010) Smith Forms of Palindromic Matrix Polynomials. [MIMS Preprint]

Mackey, D. Steven (2011) The Continuing Influence of Fiedler's Work on Companion Matrices. [MIMS Preprint]

Mackey, D. Steven (2012) Minimal indices and minimal bases via filtrations. [MIMS Preprint]

Mackey, D. Steven (2012) Minimal indices and minimal bases via filtrations. [MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Mehl, Christian and Mehrmann, Volker (2009) Jordan Structures of Alternating Matrix Polynomials. [MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Mehl, Christian and Mehrmann, Volker (2014) Mobius Transformations of Matrix Polynomials. [MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Mehl, Christian and Mehrmann, Volker (2014) Möbius Transformations of Matrix Polynomials. [MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Mehl, Christian and Mehrmann, Volker (2006) Palindromic Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations. [MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Mehl, Christian and Mehrmann, Volker (2012) Skew-symmetric matrix polynomials and their Smith forms. [MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Mehl, Christian and Mehrmann, Volker (2006) Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations. [MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Mehl, Christian and Mehrmann, Volker (2005) Vector Spaces of Linearizations for Matrix Polynomials. [MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Tisseur, Francoise (2007) On the Definition of Two Natural Classes of Scalar Product. [MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Tisseur, Francoise (2007) On the Definition of Two Natural Classes of Scalar Product. [MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise (2006) Structured Mapping Problems for Matrices Associated with Scalar Products Part I: Lie and Jordan Algebras. [MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise (2006) Structured Mapping Problems for Matrices Associated with Scalar Products Part I: Lie and Jordan Algebras. [MIMS Preprint]

Mackey, D. Steven and Mackey, Niloufer and Tisseur, Françoise (2007) Structured Mapping Problems for Matrices Associated with Scalar Products Part I: Lie and Jordan Algebras. [MIMS Preprint]

Mackey, D. Steven and Perovic, Vasilije (2014) Linearizations of Matrix Polynomials in Bernstein Bases. [MIMS Preprint]

Mackey, D. Steven and Perovic, Vasilije (2014) Linearizations of Matrix Polynomials in Bernstein Basis. [MIMS Preprint]

Mehrmann, Volker and Noferini, Vanni and Tisseur, Francoise and Xu, Hongguo (2015) On the sign characteristics of Hermitian matrix polynomials. [MIMS Preprint]

Montaldi, James (2012) Notes on circulant matrices. [MIMS Preprint]

Nadukandi, Prashanth and Higham, Nicholas J. (2018) Computing the Wave-Kernel Matrix Functions. [MIMS Preprint] (Submitted)

Nakatsukasa, Yuji (2011) Eigenvalue perturbation bounds for Hermitian block tridiagonal matrices. [MIMS Preprint]

Nakatsukasa, Yuji (2011) On the condition numbers of a multiple eigenvalue of a generalized eigenvalue problem. [MIMS Preprint]

Nakatsukasa, Yuji (2011) The tan theta theorem with relaxed conditions. [MIMS Preprint]

Nakatsukasa, Yuji and Aishima, Kensuke and Yamazaki, Ichitaro (2011) dqds with aggressive early deflation. [MIMS Preprint]

Nakatsukasa, Yuji and Freund, Roland W. (2015) Computing Fundamental matrix decompositions accurately via the matrix sign function in two iterations: The power of Zolotarev's functions. [MIMS Preprint]

Nakatsukasa, Yuji and Higham, Nicholas J. (2011) Backward stability of iterations for computing the polar decomposition. [MIMS Preprint]

Nakatsukasa, Yuji and Higham, Nicholas J. (2012) Stable and Efficient Spectral Divide and Conquer Algorithms for the Symmetric Eigenvalue Decomposition and the SVD. [MIMS Preprint]

Nakatsukasa, Yuji and Noferini, Vanni and Townsend, Alex (2012) Vector spaces of linearizations for matrix polynomials: a bivariate polynomial approach. [MIMS Preprint]

Nakatsukasa, Yuji and Saito, Naoki and Woei, Ernest (2011) Mysteries around the graph Laplacian eigenvalue 4. [MIMS Preprint]

Nicholas, Higham (2019) Error Analysis For Standard and GMRES-Based Iterative Refinement in Two and Three-Precisions. [MIMS Preprint]

Noferini, Vanni (2016) A Daleckii-Krein formula for the Frechet derivative of a generalized matrix function. [MIMS Preprint]

Noferini, Vanni (2016) A Daleckii-Krein formula for the Frechet derivative of a generalized matrix function. [MIMS Preprint]

Noferini, Vanni (2014) When is a Hamiltonian matrix the commutator of two skew-Hamiltonian matrices? [MIMS Preprint]

Noferini, Vanni and Perez, Javier (2015) Chebyshev-Fiedler pencils. [MIMS Preprint]

Noferini, Vanni and Poloni, Federico (2013) Duality of matrix pencils and linearizations. [MIMS Preprint]

Noferini, Vanni and Poloni, Federico (2013) Duality of matrix pencils and linearizations. [MIMS Preprint]

Noferini, Vanni and Poloni, Federico (2013) Duality of matrix pencils and linearizations. [MIMS Preprint]

Noferini, Vanni and Sharify, Meisam and Tisseur, Francoise (2014) Tropical roots as approximations to eigenvalues of matrix polynomials. [MIMS Preprint]

Noferini, Vanni and Sharify, Meisam and Tisseur, Francoise (2014) Tropical roots as approximations to eigenvalues of matrix polynomials. [MIMS Preprint]

Pan, Jianxin and Ye, Huajin and Li, Runze (2009) Nonparametric Regression of Covariance Structures in Longitudinal Studies. [MIMS Preprint]

Perovic, Vasilije and Mackey, D. Steven (2017) Linearizations of Matrix Polynomials in Newton Bases. [MIMS Preprint]

Poloni, Federico and Strabić, Nataša (2015) Principal pivot transforms of quasidefinite matrices and semidefinite Lagrangian subspaces. [MIMS Preprint]

Powell, Catherine E (2006) Robust Preconditioning for Second-Order Elliptic PDEs with Random Field Coefficients. [MIMS Preprint]

Taslaman, Leo (2014) Strongly damped quadratic matrix polynomials. [MIMS Preprint]

Taslaman, Leo (2014) An algorithm for quadratic eigenproblems with low rank damping. [MIMS Preprint]

Taslaman, Leo (2014) An algorithm for quadratic eigenproblems with low rank damping. [MIMS Preprint]

Taslaman, Leo (2014) An algorithm for quadratic eigenproblems with low rank damping. [MIMS Preprint]

Taslaman, Leo (2014) The principal angles and the gap. [MIMS Preprint]

Taslaman, Leo and Tisseur, Francoise and Zaballa, Ion (2012) Triangularization of matrix polynomials. [MIMS Preprint]

Taslaman, Leo and Tisseur, Francoise and Zaballa, Ion (2012) Triangularizing matrix polynomials. [MIMS Preprint]

Tisseur, Francoise and Garvey, Seamus D. and Munro, Christopher (2009) Deflating Quadratic Matrix Polynomials with Structure Preserving Transformations. [MIMS Preprint]

Tisseur, Françoise and Graillat, Stef (2006) Structured Condition Numbers and Backward Errors in Scalar Product Spaces. [MIMS Preprint]

Tisseur, Françoise and Zaballa, Ion (2012) Triangularizing Quadratic Matrix Polynomials. [MIMS Preprint]

Tisseur, Françoise and Zaballa, Ion (2012) Triangularizing Quadratic Matrix Polynomials. [MIMS Preprint]

Tisseur, Françoise and Zaballa, Ion (2012) Triangularizing Quadratic Matrix Polynomials. [MIMS Preprint]

Townsend, Alex and Noferini, Vanni and Nakatsukasa, Yuji (2012) Vector spaces of linearizations for matrix polynomials: a bivariate polynomial approach. [MIMS Preprint]

Van Loan, Charles F. (2006) A Study of the Matrix Exponential. [MIMS Preprint]

Ward, David (2014) Conjugate p-elements of Full Support that Generate the Wreath Product Cp wr Cp. [MIMS Preprint]

Zaballa, Ion and Tisseur, Francoise (2012) Finite and Infinite Elementary Divisors of Matrix Polynomials: A Global Approach. [MIMS Preprint]

Zaballa, Ion and Tisseur, Francoise (2012) Finite and Infinite Elementary Divisors of Matrix Polynomials: A Global Approach. [MIMS Preprint]

Zaballa, Ion and Tisseur, Francoise (2012) Finite and Infinite Elementary Divisors of Matrix Polynomials: A Global Approach. [MIMS Preprint]

Zhang, Weijian (2015) Dynamic Network Analysis in Julia. [MIMS Preprint]

Zhang, Weijian and Higham, Nicholas J. (2015) Matrix Depot: An Extensible Test Matrix Collection for Julia. [MIMS Preprint]

Šego, Vedran (2012) The hyperbolic Schur decomposition (extended). [MIMS Preprint]

Šego, Vedran (2012) The hyperbolic Schur decomposition (extended). [MIMS Preprint]

Šego, Vedran (2012) The hyperbolic Schur decomposition (extended). [MIMS Preprint]

Šego, Vedran (2012) The hyperbolic Schur decomposition. [MIMS Preprint]

Šego, Vedran (2012) The hyperbolic Schur decomposition. [MIMS Preprint]

Šego, Vedran (2012) The hyperbolic Schur decomposition. [MIMS Preprint]

## Book Section

Chahlaoui, Y and Gallivan, K.A and Van Dooren, P (2007) Calculating the $\mathcal{H}_{\infty}$-Norm of Large Sparse Systems via Chandrasekhar Iterations and Extrapolations. In: RFMAO 05 - Rencontres Franco-Marocaines en Approximation et Optimisation 2005. ESAIM: Proceedings, 20 . EDP Sciences, ESAIM, France, pp. 83-92.

Chahlaoui, Y and Gallivan, K.A and Van Dooren, P (2007) Calculating the $\mathcal{H}_{\infty}$-Norm of Large Sparse Systems via Chandrasekhar Iterations and Extrapolations. In: RFMAO 05 - Rencontres Franco-Marocaines en Approximation et Optimisation 2005. ESAIM: Proceedings, 20 . EDP Sciences, ESAIM, France, pp. 83-92.

Chahlaoui, Younes and Gallivan, Kyle A and Van Dooren, Paul (2001) An incremental method for computing dominant singular subspaces. In: Computational information retrieval. SIAM, usa, pp. 53-62. ISBN 0-89871-500-8

Chahlaoui, Younes and Gallivan, Kyle A and Vandendorpe, Antoine and Van Dooren, Paul (2006) Model Reduction of Second-Order Systems. In: Dimension Reduction of Large-Scale Systems. Lecture Notes in Computational Science and Engineering, 45 . Springer Berlin Heidelberg, Berlin, pp. 149-172. ISBN 978-3-540-24545-2 (Print) 978-3-540-27909-9 (Online)

Chahlaoui, Younes and Tisseur, Françoise and Van Dooren, Paul (2009) A new approach for MOR of second order Dynamical Systems. In: Systems Theory: Modelling, Analysis and Control. Presses Universitaires de Perpignan, pp. 153-158. ISBN 2-35412-043-6

Chahlaoui, Younes and Van Dooren, Paul (2005) Benchmark examples for model reduction of linear time invariant dynamical systems. In: Dimension Reduction of Large-Scale Systems. Lecture Notes in Computational Science and Engineering, 45 . Springer Berlin Heidelberg, Berlin, pp. 379-392. ISBN 978-3-540-24545-2 (Print) 978-3-540-27909-9 (Online)

Chahlaoui, Younes and Van Dooren, Paul (2006) Model reduction of time-varying systems. In: Dimension Reduction of Large-Scale Systems. Lecture Notes in Computational Science and Engineering, 45 . Springer Berlin Heidelberg, Berlin, pp. 131-148. ISBN 978-3-540-24545-2 (Print) 978-3-540-27909-9 (Online)

Davies, Philip I. and Higham, Nicholas J. (2005) Computing $f(A)b$ for Matrix Functions $f$. In: QCD and Numerical Analysis III. Lecture Notes in Computational Science and Engineering, 47 . Springer-Verlag, Berlin, pp. 15-24. ISBN 3-540-21257-4

Domas, Stéphane and Tisseur, Françoise (1997) Parallel implementation of a symmetric eigensolver based on the Yau and Lu method. In: Lecture Notes in Computer Science. Lecture Notes in Computer Science, 1215 . Springer Berlin / Heidelberg, Berlin, pp. 140-153. ISBN 978-3-540-62828-6

Higham, Nicholas J. (1990) Analysis of the Cholesky Decomposition of a Semi-definite Matrix. In: Reliable Numerical Computation. Oxford University Press, Oxford, UK, pp. 161-185. ISBN 0-19-853564-3

Higham, Nicholas J. (1990) Analysis of the Cholesky Decomposition of a Semi-definite Matrix. In: Reliable Numerical Computation. Oxford University Press, Oxford, UK, pp. 161-185. ISBN 0-19-853564-3

Higham, Nicholas J. (2015) Color Spaces and Digital Imaging. In: The Princeton Companion to Applied Mathematics. Princeton University Press, Princeton, NJ, USA, pp. 808-813. ISBN 978-0-691-15039-0

Higham, Nicholas J. (2007) Commentary on Selected Papers by Gene Golub on Matrix Factorizations and Applications. In: Milestones in Matrix Computation: The Selected Works of Gene H. Golub, with Commentaries. Oxford University Press, Oxford, pp. 227-235. ISBN 978-0-19-920681-0

Higham, Nicholas J. (2006) Functions of Matrices. In: Handbook of Linear Algebra. Chapman and Hall/CRC, Boca Raton, FL, USA, 11.1-11.13. ISBN 1-58488-510-6

Higham, Nicholas J. (2014) Functions of Matrices. In: Handbook of Linear Algebra. CRC Press, Boca Raton, Florida, USA, 17.1-17.5. ISBN 978-1-4665-0728-9

Higham, Nicholas J. (2014) Functions of Matrices. In: Handbook of Linear Algebra. CRC Press, Boca Raton, Florida, USA, 17.1-17.5. ISBN 978-1-4665-0728-9

Higham, Nicholas J. (2014) Numerical Conditioning. In: Walter Gautschi. Selected Works with Commentaries. Birkhauser, New York, pp. 37-40. ISBN 978-1-4614-7033-5

Higham, Nicholas J. (2015) Numerical Linear Algebra and Matrix Analysis. In: The Princeton Companion to Applied Mathematics. Princeton University Press, Princeton, NJ, USA, pp. 263-281. ISBN 978-0-691-15039-0

Higham, Nicholas J. (2015) Programming Languages: An Applied Mathematics View. In: The Princeton Companion to Applied Mathematics. Princeton University Press, Princeton, NJ, USA, pp. 828-839. ISBN 978-0-691-15039-0

Higham, Nicholas J. (1997) Recent Developments in Dense Numerical Linear Algebra. In: The State of the Art in Numerical Analysis. Oxford University Press, Oxford, UK, pp. 1-26. ISBN 0-19-850014-9

Higham, Nicholas J. (2015) The Singular Value Decomposition. In: The Princeton Companion to Applied Mathematics. Princeton University Press, Princeton, NJ, USA, pp. 126-127. ISBN 978-0-691-15039-0

Higham, Nicholas J. (1994) A Survey of Componentwise Perturbation Theory. In: Mathematics of Computation 1943--1993: A Half Century of Computational Mathematics. Proceedings of Symposia in Applied Mathematics, 48 . American Mathematical Society, Providence, RI, USA, pp. 49-77. ISBN 0-8218-0291-7

Huber, Nikolaus and Brosig, Fabian and Dingle, Nicholas and Joshi, Kaustubh and Kounev, Samuel (2012) Providing Dependability and Performance in the Cloud: Case Studies. In: Resilience Assessment and Evaluation of Computing Systems. Dagstuhl Seminar 10292 . Springer-Verlag, Berlin, Heidelberg. ISBN 978-3-642-29031-2

Mackey, D. S. and Mackey, N. and Tisseur, F. (2015) Polynomial Eigenvalue Problems: Theory, Computation, and Structure. In: Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory. Springer International Publishing, Switzerland, pp. 319-348. ISBN 978-3-319-15259-2

## Conference or Workshop Item

Chahlaoui, Younes (2011) Gramian based model reduction of switched dynamical systems. In: Householder Symposium XVIII on Numerical Linear Algebra, 12-17 June 2011, Tahoe City, CA, US.

Chahlaoui, Younes (2011) Model Order Reduction or How to make everything as simple as possible but not simpler. In: MAMERN11: 4 th International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources, 23-26 May 2011, Saidia, Morocco.

Chahlaoui, Younes (2009) Model reduction of switched dynamical systems. In: 4th Conference on Trends in Applied mathematics in Tunisia, Algeria and Morocco., 6-8 May 2009, Kenitra, Morocco. (Submitted)

Chahlaoui, Younes (2011) PVDâ��s contributions to numerical methods in systems and control. In: 10th IMACS International Symposium on Iterative Methods in Scientific Computing Dedicated to Paul Van Dooren on his 60th Birthday, 18-21 May 2011, Marrakech, Morocco.

Chahlaoui, Younes (2009) A new approach for MOR of second order Dynamical Systems. In: Systems Theory: Modelling, Analysis and Control, 25-28 May 2009, Fes, Morocco. (Submitted)

Chahlaoui, Younes and Gallivan, Kyle A and Van Dooren, Paul (2004) The Hinfinity-norm calculation for large sparse systems. In: 16th Symp. on the Mathematical Theory of Networks and Systems (MTNS04), 5-9 July 2004, Leuven.

Chahlaoui, Younes and Lemonnier, Damien and Meerbergen, Karl and Vandendorpe, Antoine and Van Dooren, Paul (2002) Model reduction of second order systems. In: Math. Th. Netw. Syst. International Symposium, August 2002, University Notre Dame, Illinois.

Chahlaoui, Younes and Lemonnier, Damien and Vandendorpe, Antoine and Van Dooren, Paul (2004) Second Order Structure Preserving Balanced Truncation. In: 16th Symp. on the Mathematical Theory of Networks and Systems (MTNS04), 5-9 July 2004, Leuven.

Chahlaoui, Younes and Van Dooren, Paul (2002) Estimating Gramians of large-scale time-varying systems. In: IFAC World Congress, 2002, Barcelone.

Chahlaoui, Younes and Van Dooren, Paul (2003) Recursive Gramian and Hankel map approximation of large dynamical systems. In: SIAM Conference on Applied Linear Algebra, 15-19 July 2003, Williamsburg, Virginia, U.S.A..

Chahlaoui, Younes and Van Dooren, Paul (2003) Recursive low rank Hankel approximation and model reduction. In: Eur. Contr. Conf. 2003, 1-4 Sept 2003, Cambridge.

Corless, Robert M. and Ding, Hui and Higham, Nicholas J. and Jeffrey, David J. (2007) The Solution of S exp(S) = A is Not Always the Lambert W Function of A. In: ISSAC '07: Proceedings of the 2007 International Symposium on Symbolic and Algebraic Computation, July 29 - August 01, 2007, Waterloo, Ontario, Canada.

Dallali, H. and Medrano-Cerda, G.A. and Brown, M. (2010) A Comparison of Multivariable & Decentralized Control Strategies for Robust Humanoid Walking. In: UKACC International Conference on CONTROL 2010, 7-10 Sept 2010, Coventry, UK. (Submitted)

Haidar, Azzam and Tomov, Stanimire and Dongarra, Jack and Higham, Nicholas J. Harnessing GPU Tensor Cores for Fast FP16 Arithmetic to Speed up Mixed-Precision Iterative Refinement Solvers. In: International Conference on Supercomputing, New York, NY, USA, 2018. (In Press)

## Book

Hammarling, S. J. (1970) Latent Roots and Latent Vectors. Adam Hilger, Bristol, UK.

Higham, Nicholas J. (2002) Accuracy and Stability of Numerical Algorithms. Society for Industrial and Applied Mathematics, Philadelphia, PA, USA. ISBN 0-89871-521-0

Higham, Nicholas J. (2008) Functions of Matrices: Theory and Computation. Society for Industrial and Applied Mathematics, Philadelphia, PA, USA. ISBN 978-0-898716-46-7

## Thesis

Al-Ammari, Maha (2011) Analysis of Structured Polynomial Eigenvalue Problems. Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Al-Mohy, Awad H. (2010) Algorithms for the Matrix Exponential and its Fr\'echet Derivative. Doctoral thesis, University of Manchester.

Andrew, Robert (2012) Implementation of QR Updating Algorithms on the GPU. Masters thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Aprahamian, Mary (2016) Theory and Algorithms for Periodic Functions of Matrices, with Applications. Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Berhanu, Michael (2005) The Polynomial Eigenvalue Problem. Doctoral thesis, University of Manchester.

Berljafa, Mario (2017) Rational Krylov Decompositions: Theory and Applications. Doctoral thesis, The University of Manchester.

Borsdorf, Rudiger (2007) A Newton Algorithm for the Nearest Correlation Matrix. Masters thesis, University of Manchester.

Borsdorf, Ruediger (2012) Structured Matrix Nearness Problems: Theory and Algorithms. Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Chahlaoui, Younes (2003) Low-rank approximation and model reduction. Doctoral thesis, University Catholic of Louvain, Louvain-La-Neuve, Belgium.

Hargreaves, Gareth (2005) Topics in Matrix Computations: Stability and Efficiency of Algorithms. Doctoral thesis, University of Manchester.

Higham, Nicholas J. (1983) Matrix Condition Numbers. Masters thesis, The University of Manchester.

Higham, Nicholas J. (1985) Nearness Problems in Numerical Linear Algebra. Doctoral thesis, The University of Manchester.

Jagger, David P. (2003) MATLAB Toolbox for Classical Matrix Groups. Masters thesis, University of Manchester.

Lin, Lijing (2011) Roots of Stochastic Matrices and Fractional Matrix Powers. Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Lucas, Craig (2004) Algorithms for Cholesky and QR Factorizations, and the Semidefinite Generalized Eigenvalue Problem. Doctoral thesis, The University of Manchester.

Lucas, Craig (2001) Computing Nearest Covariance and Correlation Matrices. Masters thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Mackey, D. Steven (2006) Structured Linearizations for Matrix Polynomials. Doctoral thesis, University of Manchester.

Mackey, D. Steven (2006) Structured Linearizations for Matrix Polynomials. Doctoral thesis, University of Manchester.

McSweeney, Thomas (2017) Modified Cholesky Decomposition and Applications. Masters thesis, University of Manchester.

Munro, Christopher J. (2011) Algorithms for Matrix Polynomials and Structured Matrix Problems. Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Munro, Christopher J. (2007) Deflating Quadratic Matrix Polynomials. Masters thesis, The University of Manchester.

Powell, Catherine E. (2003) Optimal Preconditioning for Mixed Finite Element Formulation of Second-Order Elliptic Problems. Doctoral thesis, UMIST.

Relton, S. D. (2014) Algorithms for Matrix Functions and their Frechet Derivatives and Condition Numbers. Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Strabić, Nataša (2016) Theory and algorithms for matrix problems with positive semidefinite constraints. Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Taslaman, Leo (2014) Algorithms and theory for polynomial eigenproblems. Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Ward, David (2015) Topics in Finite Groups: Homology Groups, Pi-product Graphs, Wreath Products and Cuspidal Characters. Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

Weijian, Zhang (2018) Evolving Graphs and Similarity-based Graphs with Applications. Doctoral thesis, University of Manchester.

## Other

Chahlaoui, Younes and Van Dooren, Paul (2002) A collection of benchmark examples for model reduction of linear time invariant dynamical systems. Niconet.

Hammarling, Sven (2017) Second Workshop on Batched, Reproducible, and Reduced Precision BLAS. The University of Manchester. (Unpublished)

Hammarling, Sven (2017) Workshop on Batched, Reproducible, and Reduced Precision BLAS. The University of Manchester. (Unpublished)

This list was generated on Tue Jul 14 01:00:22 2020 BST.