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MIMS EPrints

## Subject: 15 Linear and multilinear algebra; matrix theory

Number of items: 259.

2014.38: Fernando De Terán, Froilán M. Dopico and Javier Pérez (2014) Technical report on backward stability of polynomial root-finding using Fiedler companion matrices.

2014.34: Edvin Deadman (2014) Estimating the Condition Number of f(A)b.

2014.31: Awad H. Al-Mohy, Nicholas J. Higham and Samuel D. Relton (2014) New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously.

2014.30: David Ward (2014) Conjugate p-elements of Full Support that Generate the Wreath Product Cp wr Cp.

2014.29: D. Steven Mackey and Vasilije Perovic (2014) Linearizations of Matrix Polynomials in Bernstein Basis.

2014.26: Nicholas J. Higham (2014) Sylvester's Influence on Applied Mathematics. Mathematics Today, 50 (xx). pp. 212-216. ISSN 1361-2042

2014.25: Lars Karlsson and Francoise Tisseur (2014) Algorithms for Hessenberg-Triangular Reduction of Fiedler Linearization of Matrix Polynomials.

2014.21: Leo Taslaman (2014) An algorithm for quadratic eigenproblems with low rank damping.

2014.19: Sebastien Duminil, Hassane Sadok and David Silvester (2014) Fast solvers for discretized Navier-Stokes problems using vector extrapolation. Numerical Algorithms, 66 (1). pp. 89-104. ISSN 1017-1398

2014.16: Vanni Noferini, Meisam Sharify and Francoise Tisseur (2014) Tropical roots as approximations to eigenvalues of matrix polynomials.

2014.15: Vanni Noferini (2014) When is a Hamiltonian matrix the commutator of two skew-Hamiltonian matrices?

2014.10: Leo Taslaman (2014) Strongly damped quadratic matrix polynomials.

2014.9: Leo Taslaman (2014) The principal angles and the gap.

2014.8: Nicholas J. Higham and Edvin Deadman (2014) A Catalogue of Software for Matrix Functions. Version 1.0.

2014.7: James Hook (2014) Max-Plus Singular Values.

2014.6: James Hook and Françoise Tisseur (2014) Tropical Eigenvalues.

2014.2: D. Steven Mackey, Niloufer Mackey, Christian Mehl and Volker Mehrmann (2014) Möbius Transformations of Matrix Polynomials.

2013.84: Nicholas J. Higham and Samuel D. Relton (2013) Estimating the Condition Number of the Frechet Derivative of a Matrix Function.

2013.76: Nicholas J. Higham (2014) Numerical Conditioning. In: Claude Brezinski and Ahmed Sameh, (eds). Walter Gautschi. Selected Works with Commentaries. Birkhauser, New York, pp. 37-40. ISBN 978-1-4614-7033-5

2013.73: Nicholas J. Higham and Lin Lijing (2013) Matrix Functions: A Short Course.

2013.58: Nicholas J. Higham and Samuel D. Relton (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

2013.51: Nicholas J. Higham (2013) Matrix Computations in Basic on a Microcomputer.

2013.47: Fernando De Teran, Froilan M. Dopico and D. Steven Mackey (2013) Spectral equivalence of matrix polynomials and the index sum theorem.

2013.35: Ramaseshan Kannan, Stephen Hendry, Nicholas J. Higham and Francoise Tisseur (2013) Detecting the Causes of Ill-Conditioning in Structural Finite Element Models.

2013.27: Nicholas J. Higham (2014) Functions of Matrices. In: Leslie Hogben, (eds). Handbook of Linear Algebra. CRC Press, Boca Raton, Florida, USA, 17.1-17.5. ISBN 978-1-4665-0728-9

2013.25: Marianne Akian, Stéphane Gaubert and Meisam Sharify (2013) Log-majorization of the moduli of the eigenvalues of a matrix polynomial by tropical roots.

2013.21: Mary Aprahamian and Nicholas J. Higham (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

2013.20: Fernando De Teran, Ross Lippert, Yuji Nakatsukasa and Vanni Noferini (2013) Flanders' theorem for many matrices under commutativity assumptions.

2013.17: Vanni Noferini and Federico Poloni (2013) Duality of matrix pencils and linearizations.

2013.8: Nicholas J. Dingle (2013) Inexact Sparse Matrix-Vector Products in the Calculation of Passage Time Distributions in Large Semi-Markov Models.

2013.1: Nicholas J. Higham and Lijing Lin (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

2012.119: Vedran Šego (2012) The hyperbolic Schur decomposition.

2012.118: Alex Townsend, Vanni Noferini and Yuji Nakatsukasa (2012) Vector spaces of linearizations for matrix polynomials: a bivariate polynomial approach.

2012.116: Vedran Šego (2012) The hyperbolic Schur decomposition (extended).

2012.114: Robert Andrew and Nicholas J. Dingle (2014) Implementing QR Factorization Updating Algorithms on GPUs. Parallel Computing, 4 (7). pp. 161-172. ISSN 0167-8191

2012.84: Ramaseshan Kannan (2012) Efficient sparse matrix multiple-vector multiplication using a bitmapped format.

2012.82: D. Steven Mackey (2012) Minimal indices and minimal bases via filtrations.

2012.80: Robert Andrew (2012) Implementation of QR Updating Algorithms on the GPU. Masters thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

2012.78: Ion Zaballa and Francoise Tisseur (2012) Finite and Infinite Elementary Divisors of Matrix Polynomials: A Global Approach.

2012.77: Leo Taslaman, Francoise Tisseur and Ion Zaballa (2012) Triangularizing matrix polynomials.

2012.72: Awad H. Al-Mohy, Nicholas J. Higham and Samuel D. Relton (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

2012.71: Nikolaus Huber, Fabian Brosig, Nicholas Dingle, Kaustubh Joshi and Samuel Kounev (2012) Providing Dependability and Performance in the Cloud: Case Studies. In: Katinka Wolter, Alberto Avritzer, Marco Vieira and Aad van Moorsel, (eds). Resilience Assessment and Evaluation of Computing Systems. Dagstuhl Seminar 10292. Springer-Verlag, Berlin, Heidelberg. ISBN 978-3-642-29031-2

2012.70: D. Steven Mackey, Niloufer Mackey, Christian Mehl and Volker Mehrmann (2012) Skew-symmetric matrix polynomials and their Smith forms.

2012.63: Ruediger Borsdorf (2012) Structured Matrix Nearness Problems: Theory and Algorithms. PhD thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

2012.62: Iain Bethune, J. Mark Bull, Nicholas J. Dingle and Nicholas J. Higham (2012) Performance analysis of asynchronous Jacobi's method implemented in MPI, SHMEM and OpenMP.

2012.60: David Broomhead, Steve Furber and Marianne Johnson (2012) An algebraic approach to time borrowing.

2012.56: James Montaldi (2012) Notes on circulant matrices.

2012.52: Yuji Nakatsukasa and Nicholas J. Higham (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

2012.50: Nicholas J. Higham (2007) Commentary on Selected Papers by Gene Golub on Matrix Factorizations and Applications. In: Raymond H. Chan, Chen Greif and Dianne P. O'Leary, (eds). 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

2012.30: Françoise Tisseur and Ion Zaballa (2013) Triangularizing Quadratic Matrix Polynomials. SIAM J. MATRIX ANAL. APPL., 34 (2). pp. 312-337. ISSN 1749-9097

2012.26: Edvin Deadman, Nicholas J. Higham and Rui Ralha (2013) Blocked Schur Algorithms for Computing the Matrix Square Root. Lecture Notes in Computer Science, 7782. pp. 171-182.

2012.17: Ren-Cang Li, Yuji Nakatsukasa, Ninoslav Truhar and Wei-guo Wang (2012) Perturbation of multiple eigenvalues of Hermitian matrices.

2011.117: Timo Betcke, Nicholas J. Higham, Volker Mehrmann, Christian Schröder and Françoise Tisseur (2011) NLEVP: A Collection of Nonlinear Eigenvalue Problems. Users' Guide.

2011.116: Timo Betcke, Nicholas J. Higham, Volker Mehrmann, Christian Schröder and Françoise Tisseur (2011) NLEVP: A Collection of Nonlinear Eigenvalue Problems.

2011.115: Yuji Nakatsukasa (2011) Gerschgorin's theorem for generalized eigenvalue problems in the Euclidean metric. Mathematics of Computation, 80 (276). pp. 2127-2142. ISSN 1088-6842(e)

2011.114: Yuji Nakatsukasa (2011) The tan theta theorem with relaxed conditions.

2011.113: Yuji Nakatsukasa, Naoki Saito and Ernest Woei (2011) Mysteries around the graph Laplacian eigenvalue 4.

2011.112: D. Steven Mackey (2011) The Continuing Influence of Fiedler's Work on Companion Matrices.

2011.110: Fernando De Teran, Froilan Dopico and D. Steven Mackey (2011) Fiedler companion linearizations for rectangular matrix polynomials.

2011.108: J Hook (2011) Products of random Max-plus matrices.

2011.103: Yuji Nakatsukasa and Nicholas J. Higham (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

2011.89: Maha Al-Ammari (2011) Analysis of Structured Polynomial Eigenvalue Problems. PhD thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

2011.85: Yuji Nakatsukasa (2011) On the condition numbers of a multiple eigenvalue of a generalized eigenvalue problem.

2011.84: Yuji Nakatsukasa, Kensuke Aishima and Ichitaro Yamazaki (2011) dqds with aggressive early deflation.

2011.83: Awad H. Al-Mohy and Nicholas J. Higham (2012) Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm. SIAM Journal on Scientific Computing, 34 (4). C152-C169. ISSN 1095-7197

2011.82: Iain Bethune, J. Mark Bull, Nicholas J. Dingle and Nicholas J. Higham (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.

2011.81: Yuji Nakatsukasa (2011) Eigenvalue perturbation bounds for Hermitian block tridiagonal matrices.

2011.74: Younes Chahlaoui (2011) An interview with Paul Van Dooren.

2011.69: James Hook and Dave Broomhead (2011) Stochastic production trees as products of i.i.d. componentwise exponential max-plus matrices.

2011.59: H. Dallali, G. Medrano-Cerda and M. Brown (2011) CONTROL OF A COMPLIANT HUMANOID ROBOT IN DOUBLE SUPPORT PHASE: A GEOMETRIC APPROACH. Int. J. of Humanoid Robotics (IJHR).

2011.52: Younes Chahlaoui (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.

2011.51: Younes Chahlaoui (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.

2011.50: Younes Chahlaoui (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.

2011.43: Awad H. Al-Mohy (2011) A More Accurate Briggs Method for the Logarithm.

2011.37: Maha Al-Ammari and Francoise Tisseur (2011) Standard Triples of Structured Matrix Polynomials.

2011.21: Christopher J. Munro (2011) Algorithms for Matrix Polynomials and Structured Matrix Problems. PhD thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

2011.16: Nicholas J. Higham (2011) Gaussian Elimination. Wiley Interdisciplinary Reviews: Computational Statistics, 3 (3). pp. 230-238. ISSN 1939-0068

2011.9: Lijing Lin (2011) Roots of Stochastic Matrices and Fractional Matrix Powers. PhD thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

2010.99: Timo Betcke, Nicholas J. Higham, Volker Mehrmann, Christian Schröder and Françoise Tisseur (2010) NLEVP: A Collection of Nonlinear Eigenvalue Problems. Users' Guide.

2010.98: Timo Betcke, Nicholas J. Higham, Volker Mehrmann, Christian Schröder and Françoise Tisseur (2010) NLEVP: A Collection of Nonlinear Eigenvalue Problems.

2010.91: Nicholas J. Higham and Lijing Lin (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

2010.69: H. Dallali, G.A. Medrano-Cerda and M. Brown (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.

2010.63: Awad H. Al-Mohy (2010) Algorithms for the Matrix Exponential and its Fr\'echet Derivative. PhD thesis, University of Manchester.

2010.62: S.D. Garvey and A.A. Popov (2010) Parameterising Structure Preserving Transformations Connecting Quadratic Matrix Polynomials. Western Canada Linear Algebra Meeting 2010, Banff, May 2010, 1 (1).

2010.36: D. Steven Mackey, Niloufer Mackey, Christian Mehl and Volker Mehrmann (2010) Smith Forms of Palindromic Matrix Polynomials.

2010.33: Fernando De Teran, Froilan M. Dopico and D. Steven Mackey (2010) Palindromic Companion Forms for Matrix Polynomials of Odd Degree.

2010.30: Awad H. Al-Mohy and Nicholas J. Higham (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

2010.18: Nicholas J. Higham and Awad H. Al-Mohy (2010) Computing Matrix Functions. Acta Numerica, 19. 159 -208. ISSN 0962-4929

2010.11: Younès Chahlaoui (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

2010.10: Peter Lancaster and Françoise Tisseur (2010) Hermitian Quadratic Matrix Polynomials: Solvents and Inverse Problems.

2010.9: Maha Al-Ammari and Francoise Tisseur (2010) Hermitian Matrix Polynomials with Real Eigenvalues of Definite Type. Part I: Classification.

2009.87: Rüdiger Borsdorf, Nicholas J. Higham and Marcos Raydan (2010) Computing a Nearest Correlation Matrix with Factor Structure. SIAM Journal on Matrix Analysis and Applications, 31 (5). pp. 2603-2622. ISSN 1095-7162

2009.86: Nicholas J. Higham (2009) The Scaling and Squaring Method for the Matrix Exponential Revisited. SIAM Review, 51 (4). pp. 747-764. ISSN 0036-1445

2009.77: Fernando De Teran, Froilan M. Dopico and D. Steven Mackey (2009) Fiedler Companion Linearizations and the Recovery of Minimal Indices.

2009.56: D. Steven Mackey, Niloufer Mackey, Christian Mehl and Volker Mehrmann (2009) Jordan Structures of Alternating Matrix Polynomials.

2009.52: Nicholas J. Higham, Christian Mehl and Françoise Tisseur (2010) The Canonical Generalized Polar Decomposition. SIAM Journal On Matrix Analysis and Applications, 31 (4). 2163 -2180. ISSN 0895-4798

2009.51: Laurence Grammont, Nicholas J. Higham and Françoise Tisseur (2011) A Framework for Analyzing Nonlinear Eigenproblems and Parametrized Linear Systems. Linear Algebra and its Applications, 435 (3). pp. 623-640. ISSN 0024-3795

2009.46: Jianxin Pan, Huajin Ye and Runze Li (2009) Nonparametric Regression of Covariance Structures in Longitudinal Studies.

2009.31: Awad H. Al-Mohy and Nicholas J. Higham (2010) The Complex Step Approximation to the Fréchet Derivative of a Matrix Function. Numerical Algorithms, 53 (1). pp. 133-148. ISSN 1017-1398

2009.30: James W. Demmel, Nicholas J. Higham and Robert S. Schreiber (1995) Stability of Block LU Factorization. Numerical Linear Algebra with Applications, Vol. 2 (2). pp. 173-190. ISSN 1070-5325 / 1099-1506

2009.26: H. Fassbender, D. S. Mackey, N. Mackey and C. Schroder (2009) Structured Polynomial Eigenproblems Related to Time-Delay Systems.

2009.25: Fernando De Teran, Frolian M. Dopico and D. Steven Mackey (2009) Linearizations of Singular Matrix Polynomials and the Recovery of Minimal Indices.

2009.22: Francoise Tisseur, Seamus D. Garvey and Christopher Munro (2009) Deflating Quadratic Matrix Polynomials with Structure Preserving Transformations.

2009.21: Nicholas J. Higham and Lijing Lin (2011) On $p$th Roots of Stochastic Matrices. Linear Algebra and its Applications, 435 (3). pp. 448-463. ISSN 1749-9097

2009.15: Younes Chahlaoui (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.

2009.14: Younes Chahlaoui, Françoise Tisseur and Paul Van Dooren (2009) A new approach for MOR of second order Dynamical Systems. In: A. El Jai, L. Afifi and E. Zerrik, (eds). Systems Theory: Modelling, Analysis and Control. Presses Universitaires de Perpignan, pp. 153-158. ISBN 2-35412-043-6

2009.12: Younes Chahlaoui (2010) A posteriori error bounds for discrete balanced truncation. Linear Algebra and Its Applications, special number in honor of the 65th anniversary of Dan Sorensen in 2011..

2009.9: Awad H. Al-Mohy and Nicholas J. Higham (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

2009.1: Gareth I. Hargreaves (2002) Interval Analysis in Matlab.

2008.116: Nicholas J. Higham (2008) Cholesky Factorization.

2008.115: Chun-Hua Guo, Nicholas J. Higham and Françoise Tisseur (2009) An Improved Arc Algorithm for Detecting Definite Hermitian Pairs. SIAM Journal On Matrix Analysis and Applications., 31 (3). 1131- 1151. ISSN 1095-7162

2008.111: Sven Hammarling and Craig Lucas (2008) Updating the QR factorization and the least squares problem.

2008.70: Philip I. Davies, Nicholas J. Higham and Françoise Tisseur (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

2008.69: Sven Hammarling (1977) A Survey of Numerical Aspects of Plane Rotations. Middlesex Polytechnic Report, Maths (1). pp. 1-35.

2008.68: Sven Hammarling (1985) The Singular Value Decomposition in Multivariate Statistics. ACM Signum Newsletter, 20 (3). pp. 2-25.

2008.67: M.F. Anjos, S. Hammarling and C.C. Paige (1992) Solving the Generalized Symmetric Eigenvalue Problem. Unpublished. pp. 1-19.

2008.66: Darran Furnival, Howard Elman and Catherine Powell (2008) H(div) Preconditioning for a Mixed Finite Element Formulation of the Stochastic Diffusion Problem.

2008.60: D. Steven Mackey, Niloufer Mackey, Christian Mehl and Volker Mehrmann (2007) Numerical methods for palindromic eigenvalue problems: Computing the anti-triangular Schur form. Numerical Linear Algebra with Applications.

2008.56: Nicholas J. Higham (1990) Analysis of the Cholesky Decomposition of a Semi-definite Matrix. In: M. G. Cox and S. J. Hammarling, (eds). Reliable Numerical Computation. Oxford University Press, Oxford, UK, pp. 161-185. ISBN 0-19-853564-3

2008.55: Christopher J. Munro (2007) Deflating Quadratic Matrix Polynomials. Masters thesis, The University of Manchester.

2008.53: Jia Liu, W. T. Hewitt, W.R.B. Lionheart, J Montaldi and M. Turner (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.

2008.49: Rudiger Borsdorf (2007) A Newton Algorithm for the Nearest Correlation Matrix. Masters thesis, University of Manchester.

2008.40: Timo Betcke, Nicholas J. Higham, Volker Mehrmann, Christian Schröder and Françoise Tisseur (2008) NLEVP: A Collection of Nonlinear Eigenvalue Problems.

2008.39: Nicholas J. Higham (2008) Functions of Matrices: Theory and Computation. Society for Industrial and Applied Mathematics, Philadelphia, PA, USA. ISBN 978-0-898716-46-7

2008.35: Ralph Byers, D. Steven Mackey, Volker Mehrmann and Hongguo Xu (2008) Symplectic, BVD, and Palindromic Approaches to Discrete-Time Control Problems.

2008.26: Awad H. Al-Mohy and Nicholas J. Higham (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

2008.23: Younes Chahlaoui (2003) Low-rank approximation and model reduction. PhD thesis, University Catholic of Louvain, Louvain-La-Neuve, Belgium.

2008.22: Younes Chahlaoui and Paul Van Dooren (2002) A collection of benchmark examples for model reduction of linear time invariant dynamical systems. Niconet.

2008.21: Younes Chahlaoui and Paul Van Dooren (2002) Estimating Gramians of large-scale time-varying systems. In: IFAC World Congress, 2002, Barcelone.

2008.20: Younes Chahlaoui, Damien Lemonnier, Karl Meerbergen, Antoine Vandendorpe and Paul Van Dooren (2002) Model reduction of second order systems. In: Math. Th. Netw. Syst. International Symposium, August 2002, University Notre Dame, Illinois.

2008.19: Younes Chahlaoui and Paul Van Dooren (2003) Recursive low rank Hankel approximation and model reduction. In: Eur. Contr. Conf. 2003, 1-4 Sept 2003, Cambridge.

2008.18: Younes Chahlaoui and Paul Van Dooren (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..

2008.17: Younes Chahlaoui, Damien Lemonnier, Antoine Vandendorpe and Paul Van Dooren (2004) Second Order Balanced Truncation. Linear Algebra and its Applications, 415 (2-3). pp. 373-384. ISSN 0024-3795

2008.16: Younes Chahlaoui, Kyle A Gallivan and Paul Van Dooren (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.

2008.15: Younes Chahlaoui, Damien Lemonnier, Antoine Vandendorpe and Paul Van Dooren (2004) Second Order Structure Preserving Balanced Truncation. In: 16th Symp. on the Mathematical Theory of Networks and Systems (MTNS04), 5-9 July 2004, Leuven.

2008.14: Younes Chahlaoui, Kyle A Gallivan and Paul Van Dooren (2003) Recursive calculation of dominant singular subspaces. SIAM Journal on Matrix Analysis and Applications (SIMAX), 25 (2). pp. 445-463. ISSN 0895-4798

2008.12: Younes Chahlaoui, Kyle A Gallivan and Paul Van Dooren (2001) An incremental method for computing dominant singular subspaces. In: Michael W. Berry, (eds). Computational information retrieval. SIAM, usa, pp. 53-62. ISBN 0-89871-500-8

2008.11: Younes Chahlaoui, Kyle A Gallivan, Antoine Vandendorpe and Paul Van Dooren (2006) Model Reduction of Second-Order Systems. In: Peter Benner, Danny C. Sorensen and Volker Mehrmann, (eds). 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)

2008.10: Younes Chahlaoui and Paul Van Dooren (2006) Model reduction of time-varying systems. In: Peter Benner, Danny C. Sorensen and Volker Mehrmann, (eds). 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)

2008.9: Younes Chahlaoui and Paul Van Dooren (2005) Benchmark examples for model reduction of linear time invariant dynamical systems. In: Peter Benner, Danny C. Sorensen and Volker Mehrmann, (eds). 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)

2008.8: Nicholas J. Higham (2008) An Interview with Gene Golub.

2008.6: S. J. Hammarling (1970) Latent Roots and Latent Vectors. Adam Hilger, Bristol, UK.

2008.5: Y Chahlaoui, K.A Gallivan and P Van Dooren (2007) Calculating the $\mathcal{H}_{\infty}$-Norm of Large Sparse Systems via Chandrasekhar Iterations and Extrapolations. In: Mohammed-Najib Benbourhim, Patrick Chenin, Abdelhak Hassouni and Jean-Baptiste Hiriart-Urruty, (eds). RFMAO 05 - Rencontres Franco-Marocaines en Approximation et Optimisation 2005. ESAIM: Proceedings, 20. EDP Sciences, ESAIM, France, pp. 83-92.

2007.228: Stéphane Domas and Françoise Tisseur (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

2007.227: Françoise Tisseur and Jean-Pierre Dedieu (2003) Perturbation theory for homogeneous polynomial eigenvalue problems. Linear Algebra and its Applications, 385 (1). pp. 71-74. ISSN 0024-3795

2007.226: D. Steven Mackey, Niloufer Mackey and Françoise Tisseur (2003) Structured tools for structured matrices. Electronic Journal of Linear Algebra, 10. pp. 106-145. ISSN 1081-3810

2007.224: Françoise Tisseur (2001) Stability of Structured Hamiltonian Eigensolvers. SIAM Journal on Matrix Analysis and Applications, 23 (1). pp. 103-125. ISSN 1095-7162

2007.223: Françoise Tisseur 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

2007.222: Françoise Tisseur (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

2007.221: Dario A. Bini, Luca Gemignani and Françoise Tisseur (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

2007.220: D.S. Mackey, N. Mackey and F. Tisseur (2006) Structured Factorizations in Scalar Product Spaces. SIAM Journal on Matrix Analysis and Applications, 27 (3). pp. 821-850. ISSN 1095-7162

2007.126: O.G. Ernst, C.E Powell, D.J. Silvester and E. Ullmann (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.

2007.119: Nicholas J. Higham (2008) Cayley, Sylvester, and Early Matrix Theory. Linear Algebra Appl., 428. pp. 39-43. ISSN 0024-3795

2007.117: Chun-Hua Guo, Nicholas J. Higham and Françoise Tisseur (2009) Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems. SIAM Journal On Matrix Analysis and Applications., 30 (4). pp. 1593-1613. ISSN 1095-7162

2007.103: Nicholas Hale, Nicholas J. Higham and Lloyd N. Trefethen (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

2007.99: David P. Jagger (2003) MATLAB Toolbox for Classical Matrix Groups. Masters thesis, University of Manchester.

2007.97: Nicholas J. Higham, D. Steven Mackey and Françoise Tisseur (2009) Definite Matrix Polynomials and their Linearization by Definite Pencils. SIAM Journal on Matrix Analysis and Applications, 31 (2). 478 - 502. ISSN 0895-4798

2007.90: Robert M. Corless, Hui Ding, Nicholas J. Higham and David J. Jeffrey (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.

2007.75: Nicholas J. Higham (1997) Recent Developments in Dense Numerical Linear Algebra. In: Iain S. Duff and G. A. Watson, (eds). The State of the Art in Numerical Analysis. Oxford University Press, Oxford, UK, pp. 1-26. ISBN 0-19-850014-9

2007.74: Françoise Tisseur (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

2007.64: D. Steven Mackey, Niloufer Mackey and Francoise Tisseur (2007) On the Definition of Two Natural Classes of Scalar Product.

2007.17: D. Steven Mackey, Niloufer Mackey and Françoise Tisseur (2004) G-Reflectors: Analogues of Householder Transformations in Scalar Product Spaces. Linear Algebra and its Applications, 385. pp. 187-213. ISSN 0024-3795

2007.13: James W. Demmel and Nicholas J. Higham (1992) Stability of Block Algorithms with Fast Level-3 BLAS. ACM Transactions on Mathematical Software, 18 (3). pp. 274-291. ISSN 0098-3500

2007.12: Nicholas J. Higham (1991) Algorithm 694: A Collection of Test Matrices in MATLAB. ACM Transactions on Mathematical Software, 17 (3). pp. 289-305. ISSN 0098-3500

2007.10: Nicholas J. Higham (1987) A Survey of Condition Number Estimation for Triangular Matrices. SIAM Review, 29 (4). pp. 575-596. ISSN 0036-1445

2007.9: Nicholas J. Higham (1986) Computing the Polar Decomposition---with Applications. SIAM Journal of Scientific and Statistical Computing, 7 (4). pp. 1160-1174. ISSN 1064-8275

2007.8: Nicholas J. Higham (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

2007.5: Craig Lucas (2004) Algorithms for Cholesky and QR Factorizations, and the Semidefinite Generalized Eigenvalue Problem. PhD thesis, The University of Manchester.

2006.419: Catherine E Powell (2006) Robust Preconditioning for Second-Order Elliptic PDEs with Random Field Coefficients.

2006.407: Peter Lancaster (2006) Model-Updating for Symmetric Quadratic Eigenvalue Problems.

2006.406: Nicholas J. Higham, D. Steven Mackey, Françoise Tisseur and Seamus D. Garvey (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.

2006.405: Nicholas J. Higham, Mihail Konstantinov, Volker Mehrmann and Petko Petkov (2004) The Sensitivity of Computational Control Problems. IEEE Control Systems Magazine, 24 (1). pp. 28-43. ISSN 0272-1708

2006.404: Nicholas J. Higham (1994) A Survey of Componentwise Perturbation Theory. In: Walter Gautschi, (eds). 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

2006.397: Charles F. Van Loan (2006) A Study of the Matrix Exponential.

2006.395: Dario A. Bini, Nicholas J. Higham and Beatrice Meini (2005) Algorithms for the Matrix p'th Root. Numerical Algorithms, 39 (4). pp. 349-378. ISSN 1572-9265

2006.394: Nicholas J. Higham (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

2006.385: Sven Hammarling, Nicholas J. Higham and Craig Lucas (2007) LAPACK-Style Codes for Pivoted Cholesky and QR Updating.

2006.362: Georgi Boshnakov (2006) Singular value decomposition of multi-companion matrices.

2006.358: Michael Berhanu (2005) The Polynomial Eigenvalue Problem. PhD thesis, University of Manchester.

2006.357: Gareth Hargreaves (2005) Topics in Matrix Computations: Stability and Efficiency of Algorithms. PhD thesis, University of Manchester.

2006.285: Hovhannes M. Khudaverdian and Theodore Voronov (2005) Berezinians, exterior powers and recurrent sequences. Letters in Mathematical Physics, 74 (2). pp. 201-228. ISSN 1573-0530

2006.265: D. S. Mackey, Niloufer Mackey and Françoise Tissuer (2004) G-reflectors: Analogues of householder transformations in scalar product spaces. Linear Algebra and its Applications, 385. pp. 187-213. ISSN 0024-3795

2006.258: Françoise Tisseur (2004) Tridiagonal-diagonal reduction of symmetric indefinite pairs. SIAM Journal On Matrix Analysis And Applications, 26 (1). pp. 215-232. ISSN 0895-4798

2006.250: M. Soleimani, C.E. Powell and N. Polydorides (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

2006.185: Nicholas J. Higham (1986) Newton's method for the matrix square root. Mathematics of Computation, 46 (174). pp. 537-549. ISSN 00255718

2006.184: Nicholas J. Higham (1997) Stable iterations for the matrix square root. Numerical Algorithms, 15 (2). pp. 227-242. ISSN 1572-9265

2006.183: Nicholas J. Higham (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

2006.182: Nicholas J. Higham (1990) Exploiting fast matrix multiplication within the level 3 BLAS. ACM Transactions on Mathematical Software, 16 (4). pp. 352-368. ISSN 0098-3500

2006.181: Nicholas J. Higham (1987) Computing real square roots of a real matrix. Linear Algebra and its Applications, 88-89. pp. 405-430. ISSN 0024-3795

2006.180: Nicholas J. Higham (1988) Computing a nearest symmetric positive semidefinite matrix. Linear Algebra and its Applications, 103. pp. 103-118. ISSN 0024-3795

2006.179: Desmond J. Higham and Nicholas J. Higham (1992) Componentwise perturbation theory for linear systems with multiple right-hand sides. Linear Algebra and its Applications, 174. pp. 111-129. ISSN 0024-3795

2006.178: Nicholas J. Higham (1994) The matrix sign decomposition and its relation to the polar decomposition. Linear Algebra and its Applications, 212-213. pp. 3-20. ISSN 0024-3795

2006.177: Nicholas J. Higham and Philip A. Knight (1993) Finite precision behavior of stationary iteration for solving singular systems. Linear Algebra and its Applications, 192. pp. 165-186. ISSN 0024-3795

2006.176: Nicholas J. Higham and Sheung Hun Cheng (1998) Modifying the interia of matrices arising in optimization. Linear Algebra and its Applications, 275-276. pp. 261-279. ISSN 0024-3795

2006.175: Sheung Hun Cheng and Nicholas J. Higham (1999) The nearest definite pair for the Hermitian generalized eigenvalue problem. Linear Algebra and its Applications, 302-303. pp. 63-76. ISSN 0024-3795

2006.174: Nicholas J. Higham and Desmond J. Higham (1989) Large growth factors in Gaussian elimination with pivoting. SIAM Journal On Matrix Analysis And Applications, 10 (2). pp. 155-164. ISSN 1095-7162

2006.173: Nicholas J. Higham (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

2006.172: Nicholas J. Higham (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

2006.171: Anthony J. Cox and Nicholas J. Higham (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

2006.170: James W. Demmel and Nicholas J. Higham (1993) Improved error bounds for underdetermined system solvers. SIAM Journal On Matrix Analysis And Applications, 14 (1). pp. 1-14. ISSN 1095-7162

2006.169: Nicholas J. Higham (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

2006.168: Desmond J. Higham and Nicholas J. Higham (1992) Backward error and condition of structured linear systems. SIAM Journal On Matrix Analysis And Applications, 13 (1). pp. 162-175. ISSN 1095-7162

2006.167: Nicholas J. Higham (1993) Optimization by direct search in matrix computations. SIAM Journal On Matrix Analysis And Applications, 14 (2). pp. 317-333. ISSN 1095-7162

2006.166: Nicholas J. Higham and Philip A. Knight (1995) Matrix powers in finite precision arithmetic. SIAM Journal On Matrix Analysis And Applications, 16 (2). pp. 343-358. ISSN 1095-7162

2006.165: Nicholas J. Higham (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

2006.164: Desmond J. Higham and Nicholas J. Higham (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

2006.163: Sheung Hun Cheng and Nicholas J. Higham (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

2006.162: Nicholas J. Higham and Alex Pothen (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

2006.161: Nicholas J. Higham and Robert S. Schreiber (1990) Fast polar decomposition of an arbitrary matrix. SIAM Journal on Scientific and Statistical Computing, 11 (4). pp. 648-655. ISSN 1095-7197

2006.160: Nicholas J. Higham (1990) Experience with a Matrix Norm Estimator. SIAM Journal on Scientific and Statistical Computing, 11 (4). pp. 804-809. ISSN 1095-7197

2006.159: Nicholas J. Higham (1995) Stability of parallel triangular system solvers. SIAM Journal on Scientific Computing, 16 (2). pp. 400-413. ISSN 1095-7197

2006.158: Nicholas J. Higham (1998) Factorizing complex symmetric matrices with positive definite real and imaginary parts. Mathematics of Computation, 67 (224). pp. 1591-1599. ISSN 1088-6842

2006.157: Nicholas J. Higham (1988) The symmetric Procrustes problem. BIT Numerical Mathematics, 28. pp. 133-143. ISSN 1572-9125

2006.156: Nicholas J. Higham (1991) Iterative refinement enhances the stability of QR factorization methods for solving linear equations. BIT Numerical Mathematics, 31. pp. 447-468. ISSN 1572-9125

2006.155: Nicholas J. Higham (1993) Perturbation Theory and Backward Error for $AX-XB=C$. BIT Numerical Mathematics, 33. pp. 124-136. ISSN 1572-9125

2006.154: Thierry Braconnier and Nicholas J. Higham (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

2006.153: Anthony J. Cox and Nicholas J. Higham (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

2006.152: Anthony J. Cox and Nicholas J. Higham (1999) Backward error bounds for constrained least squares problems. BIT Numerical Mathematics, 39 (2). pp. 210-227. ISSN 1572-9125

2006.151: Nicholas J. Higham and Pythagoras Papadimitriou (1994) A parallel algorithm for computing the polar decomposition. Elsevier, Parallel Computing, 20. pp. 1161-1173. ISSN 0024-3795

2006.150: Nicholas J. Higham (1992) Estimating the matrix p-norm. Numerische Mathematik, 62. pp. 539-555. ISSN 0945-3245

2006.149: Nicholas J. Higham, Françoise Tisseur and Paul M. Van Dooren (2002) Detecting a definite Hermitian pair and a hyperbolic or elliptic quadratic eigenvalue problem, and associated nearness problems. Elsevier, Linear Algebra and its Applications, 351-352. pp. 455-474. ISSN 0024-3795

2006.148: Nicholas J. Higham and Françoise Tisseur (2002) More on pseudospectra for polynomial eigenvalue problems and applications in control theory. Elsevier, Linear Algebra and its Applications, 351-352. pp. 435-453. ISSN 0024-3795

2006.147: Nicholas J. Higham (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

2006.146: Philip I. Davies and Nicholas J. Higham (2000) Numerically stable generation of correlation matrices and their factors. BIT Numerical Mathematics, 40 (4). pp. 640-651. ISSN 1572-9125

2006.145: Nicholas J. Higham and Françoise Tisseur (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

2006.144: Françoise Tisseur and Nicholas J. Higham (2001) Structured pseudospectra for polynomial eigenvalue problems, with applications. SIAM Journal On Matrix Analysis And Applications, 23 (1). pp. 187-208. ISSN 1095-7162

2006.143: Nicholas J Higham and Hyun-Min Kim (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

2006.142: Sheung Hun Cheng, Nicholas J Higham, Charles S Kenney and Alan J Laub (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

2006.141: Adam Bojanczyk, Nicholas J Higham and Harikrishna Patel (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

2006.140: Nicholas J Higham and Hyun-Min Kim (2000) Numerical analysis of a quadratic matrix equation. IMA Journal of Numerical Analysis, 20. pp. 499-519. ISSN 1464-3642

2006.139: Nicholas J Higham (2004) The numerical stability of barycentric Lagrange interpolation. IMA Journal of Numerical Analysis, 24. pp. 547-556. ISSN 1464-3642

2006.137: Nicholas J. Higham, Ren-Cang Li and Françoise Tisseur (2007) Backward Error of Polynomial Eigenproblems Solved by Linearization. SIAM Journal on Matrix Analysis and Applications, 29 (4). pp. 1218-1241. ISSN 0895-4798

2006.133: Nicholas J. Higham (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

2006.120: Catherine Powell and David Silvester (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

2006.119: Catherine Powell (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

2006.117: Catherine Powell and David Silvester (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

2006.83: Catherine E. Powell (2003) Optimal Preconditioning for Mixed Finite Element Formulation of Second-Order Elliptic Problems. PhD thesis, UMIST.

2006.75: Nicholas J. Higham (2002) Accuracy and Stability of Numerical Algorithms. Society for Industrial and Applied Mathematics, Philadelphia, PA, USA. ISBN 0-89871-521-0

2006.72: Peter Lancaster and Panayiotis Psarrakos (2006) A Note on Weak and Strong Linearizations of Regular Matrix Polynomials.

2006.70: Nicholas J. Higham (2002) Computing the Nearest Correlation Matrix---A Problem from Finance. IMA Journal of Numerical Analysis, 22 (3). pp. 329-343. ISSN 0272-4979

2006.69: Nicholas J. Higham (2003) $J$-Orthogonal Matrices: Properties and Generation. SIAM Review, 45 (3). pp. 504-519. ISSN 0036-1445

2006.68: D. Steven Mackey (2006) Structured Linearizations for Matrix Polynomials. PhD thesis, University of Manchester.

2006.44: D. Steven Mackey, Niloufer Mackey and Françoise Tisseur (2007) Structured Mapping Problems for Matrices Associated with Scalar Products Part I: Lie and Jordan Algebras.

2006.38: D. Steven Mackey, Niloufer Mackey, Christian Mehl and Volker Mehrmann (2006) Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations. SIAM J. Matrix Anal. Appl., 28 (4). pp. 1029-1051. ISSN 0895-4798

2006.16: Françoise Tisseur and Stef Graillat (2006) Structured Condition Numbers and Backward Errors in Scalar Product Spaces.

2006.15: Gareth I. Hargreaves (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

2006.13: Philip I. Davies and Nicholas J. Higham (2003) A Schur--Parlett Algorithm for Computing Matrix Functions. SIAM Journal On Matrix Analysis and Applications, 25 (2). pp. 464-485. ISSN 1095-7162

2005.48: Chun-Hua Guo and Nicholas J. Higham (2007) Iterative Solution of a Nonsymmetric Algebraic Riccati Equation. SIAM Journal On Matrix Analysis and Applications., 29 (2). pp. 396-412. ISSN 0895-4798

2005.45: Howard C. Elman, Alison Ramage and David J. Silvester (2007) Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow. ACM Transactions on Mathematical Software (TOMS), 33 (2: 14). ISSN 0098-3500

2005.44: Gareth I. Hargreaves and Nicholas J. Higham (2005) Efficient Algorithms for the Matrix Cosine and Sine. Numerical Algorithms, 40 (4). pp. 383-400. ISSN 1572-9265

2005.27: Philip I. Davies and Nicholas J. Higham (2005) Computing $f(A)b$ for Matrix Functions $f$. In: Artan Borici, Andreas Frommer, Balint Joo, Anthony Kennedy and Brian Pendleton, (eds). QCD and Numerical Analysis III. Lecture Notes in Computational Science and Engineering, 47. Springer-Verlag, Berlin, pp. 15-24. ISBN 3-540-21257-4

2005.26: D. Steven Mackey, Niloufer Mackey, Christian Mehl and Volker Mehrmann (2006) Vector Spaces of Linearizations for Matrix Polynomials. SIAM J. Matrix Anal. Appl., 28 (4). pp. 971-1004. ISSN 0895-4798

2005.25: Nicholas J. Higham, D. Steven Mackey, Niloufer Mackey and Françoise Tisseur (2006) Symmetric Linearizations for Matrix Polynomials. SIAM Journal on Matrix Analysis and Applications, 29 (1). pp. 143-159. ISSN 0895-4798

2005.23: Nicholas J. Higham, D. Steven Mackey and Françoise Tisseur (2006) The Conditioning of Linearizations of Matrix Polynomials. SIAM J. Matrix Anal. Appl., 28 (4). pp. 1005-1028. ISSN 0895-4798

2005.21: Nicholas J. Higham (2006) Functions of Matrices. In: Leslie Hogben, (eds). Handbook of Linear Algebra. Chapman and Hall/CRC, Boca Raton, FL, USA, 11.1-11.13. ISBN 1-58488-510-6

2005.19: Nicholas J. Higham (2005) An Interview with Peter Lancaster.

2005.17: Nicholas J. Higham, D. Steven Mackey, Niloufer Mackey and Françoise Tisseur (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

2005.9: Chun-Hua Guo and Nicholas J. Higham (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

2005.8: Nicholas J. Higham, D. Steven Mackey, Niloufer Mackey and Françoise Tisseur (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

This list was generated on Wed Jul 30 12:27:36 BST 2014.