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The Scaling and Squaring Method for the Matrix Exponential Revisited49
Functions of Matrices43
Computing $A^\alpha$, $\log(A)$ and Related Matrix Functions by Contour Integrals41
Accuracy and Stability of Numerical Algorithms26
Limitations of the PlayStation 3 for High Performance Cluster Computing26
IFISS: a Matlab toolbox for modelling incompressible flow26
SDELab: stochastic differential equations with MATLAB25
Recent Developments in Dense Numerical Linear Algebra25
LAPACK-Style Codes for Pivoted Cholesky and QR Updating25
A Schur-Newton Method for the Matrix p'th Root and its Inverse24
Computing the Polar Decomposition---with Applications24
PIFISS Potential (Incompressible) Flow & Iterative Solution Software guide23
A modified Cholesky algorithm based on a symmetric indefinite factorization22
The Conditioning of Linearizations of Matrix Polynomials22
Scaling, Sensitivity and Stability in the Numerical Solution of Quadratic Eigenvalue Problems21
Part 1: the reconstruction problem19
Mathematical abilities and mathematical skills18
Mathematics under the Microscope18
Structured Linearizations for Matrix Polynomials18
Multivariate Non-Linear Regression with Applications: A Frequency Domain Approach17
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, 2005.17
A Survey of Condition Number Estimation for Triangular Matrices17
Model theory for algebra17
An Introduction to the Quality of Computed Solutions16
Structured Eigenvalue Condition Numbers15
Numerical Modelling of Eulerian Two-Phase Gas-Solid Flow15
Ownership and Control: A Small-World Analysis15
Functions of Matrices14
Prediction of regulatory networks: identification of transcription factor-target relationship from gene ontology information and gene expression data14
Geometric Mechanics and Symmetry: The Peyresq Lectures13
A Survey of Componentwise Perturbation Theory13
Symplectic integrators and optimal control13
Scaling, Sensitivity and Stability in the Numerical Solution of Quadratic Eigenvalue Problems13
Efficient Algorithms for Computing the Condition Number of a Tridiagonal Matrix13
Symmetric Linearizations for Matrix Polynomials13
Reaction and Diffusion on the Sierpinski Gasket13
Iterative Solution of a Nonsymmetric Algebraic Riccati Equation13
Model theory and modules13
Fast polar decomposition of an arbitrary matrix12
Efficient Algorithms for the Matrix Cosine and Sine12
Bounding the error in Gaussian elimination for tridiagonal systems12
Algorithms for Cholesky and QR Factorizations, and the Semidefinite Generalized Eigenvalue Problem12
Total Variation Regularization in Electrical Impedance Tomography12
Cryptographic Applications of Non-Commutative Algebraic Structures and Investigations of Nonlinear Recursions12
Post processing for stochastic parabolic partial differential equations12
Computed eigenmodes of planar regions12
On the Definition of Two Natural Classes of Scalar Product12
Electromagnetic inverse problems for nematic liquid crystals and capacitance imaging11
Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow11
A Review on the Numerical Solution of the 1D Euler Equations11
Computing the Nearest Correlation Matrix---A Problem from Finance11
Topics in Information Geometry11
Permutation groups of finite Morley rank10
Codes for spread spectrum applications generated using chaotic dynamical systems10
Ranking the Importance of Boards of Directors10
Viscous linear stability analysis of rectangular duct and cavity flows10
Large growth factors in Gaussian elimination with pivoting10
Bordism groups of immersions and classes represented by self-intersections10
The Sensitivity of Computational Control Problems10
Tomographic reconstruction of stress from photoelastic measurements using elastic regularization.10
Stability analysis of algorithms for solving confluent Vandermonde-like systems10
The quadratic eigenvalue problem9
Stability and Convergence of the Method of Fundamental Solutions for Helmholtz problems on analytic domains9
The Zariski spectrum of the category of finitely presented modules9
An Iterative Method for Electrostatic Object Reconstruction in a Half Space9
Stochastic Resonance in Vision: Models and Data9
Growth Curve Models and Statistical Diagnostics9
The Small World Network Structure of Boards of Directors9
Model-theoretic imaginaries and coherent sheaves9
The Solution of S exp(S) = A is Not Always the Lambert W Function of A9
Triangulated categories and the Ziegler spectrum9
Efficient order selection algorithms for integer valued ARMA processes9
A Study of the Matrix Exponential9
Embedding Nonlinear Dynamical Systems: A Guide to Takens' Theorem8
Flame propagation in a nonuniform mixture: analysis of a slowly varying triple flame8
Infinite dimensional second order differential equations via $T^2M$8
Injective objects in triangulated categories8
Computing the Polar Decomposition and the Matrix Sign Decomposition in Matrix Groups8
Geometric methods for anisotopic inverse boundary value problems.8
Computations of Eigenvalue Avoidance in Planar Domains8
Functions Preserving Matrix Groups and Iterations for the Matrix Square Root8
Permutation groups of finite Morley rank8
Does Reaction-diffusion Dynamics on a Fractal Space Imply Power Law Behaviour?8
MATLAB Toolbox for Classical Matrix Groups8
Symmetric Hamiltonian Bifurcations7
Backward Error of Polynomial Eigenproblems Solved by Linearization7
Cross-Subtype T-Cell Immune Responses Induced by a Human Immunodeficiency Virus Type 1 Group M Consensus Env Immunogen7
THE EQUATION [x,u]+[y,v]=0 IN FREE LIE ALGEBRAS7
The Ariel Project: A prospective cohort study of maternal-child transmission of human immunodeficiency virus type 1 in the era of maternal antiretroviral therapy7
Symmetric Linearizations for Matrix Polynomials7
Tomographic reconstruction of stress from photoelastic measurements using elastic regularization.7
The Effects of State Dependent and State Independent Probabilistic Updating on Boolean Network Dynamics7
Backward Error of Polynomial Eigenproblems Solved by Linearization7
Metabolic Pathway Modeling by Using the Nearest Neighbor Algorithm7
Adaptive time-stepping for incompressible flow. Part I: scalar advection-diffusion7
Computing $f(A)b$ for Matrix Functions $f$7
A Study of Segregation in Granular Gravity Driven Free Surface Flows.7
A GSVD formulation of a domain decomposition method for planar eigenvalue problems7
Iterative Solution of a Nonsymmetric Algebraic Riccati Equation6
Iterated Function System Models of Digital Channels6
Stochastic Modeling of Gene Regulatory Networks6
The Weak Euler Scheme for Stochastic Differential Delay Equations6
Approximating the logarithm of a matrix to specified accuracy6
Rings of definable scalars of Verma modules6
Localised Bombieri-Vinogradov theorems in imaginary quadratic fields6
$J$-Orthogonal Matrices: Properties and Generation6
Recent developments in the asymptotic theory of separated flows. Leverhulme lectures - lecture notes.6
On Reflecting Brownian Motion with Drift6
Stability of a method for multiplying complex matrices with three real matrix multiplications6
Posets of matrices, and permutations with forbidden subsequences6
The Generalized Singular Value Decomposition and the Method of Particular Solutions6
Review: Practical Design and Analysis of 2-Colour cDNA Microarray Experiments6
Structured Mapping Problems for Matrices Associated with Scalar Products Part I: Lie and Jordan Algebras6
The Polynomial Eigenvalue Problem6
Analysis of the inverse problem for determining nematic liquid crystal director profiles from optical measurements using singular value decomposition.6
Experience with a Matrix Norm Estimator6
Hénon map6
Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems6
A three-phase mixture theory for particle size segregation in shallow granular free-surface flows6
Snaking of multiple homoclinic orbits in reversible systems6
Invariant Manifolds and Sets6
Monodromy of certain Painlevé-VI transcendents and reflection groups6
A NON-CLASSICAL APPROACH TO MAXIMUM ENTROPY IN UNCERTAIN REASONING6
Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow6
A block algorithm for matrix 1-norm estimation, with an application to 1-norm pseudospectra6
Symmetric Linearizations for Matrix Polynomials5
Computing the Geodesic Interpolating Spline5
Structured Condition Numbers and Backward Errors in Scalar Product Spaces5
Effective wave propagation in a prestressed nonlinear elastic composite bar5
Asymptotic matching constraints for a boundary-layer flow of a power-law fluid5
Local-global principle for the Baum-Connes conjecture with coefficients5
A Schur-Newton Method for the Matrix p'th Root and its Inverse5
The Mathematics of Motion Camouflage5
How chaotic are strange nonchaotic attractors?5
Large Modelling Conditional Covariance in the Linear Mixed Model5
Longitudinal and Cross-Sectional Analysis of Cytotoxic T Lymphocyte (CTL) Responses and their Relationship to Vertical HIV Transmission5
Definable additive categories: purity and model theory5
Continua of states in boundary-layer flows5
Notes on Hyperbolic Matrix Polynomials and Definite Linearizations5
Recursive estimation and order determination of space-time autoregressive processes5
Classifying Serre subcategories of finitely presented modules5
Black-Box Preconditioning for Self-Adjoint Elliptic PDEs5
Shock wave interaction with viscous wake in supersonic flow5
Graded Manifolds and Drinfeld Doubles for Lie Bialgebroids5
Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations5
Solving Systems of Linear Equations on the CELL Processor Using Cholesky Factorization5
Generation of anisotropic-smoothness regularization filters for EIT5
A note on vertices of simple modules5
Coupled thermoelasticity in a composite half-space5
Some model theory of sheaves of modules4
A Jacobi-Davidson type projection method for nonlinear eigenvalue problems4
Routes to Chaos4
Optimal Scaling of Random Walk Metropolis algorithms with Discontinuous target densities4
The universal equivariant genus and Krichever's formula4
Phytoplankton biomass and residual nitrate in the pelagic ecosystem4
Persistence and stability of relative equilibria4
Vortex dynamics on cylinders4
The accumulation of boundary doubling for modified tent maps4
From finite to infinite dimensional dynamical systems4
A short review on Landsberg spaces4
Model-Updating for Symmetric Quadratic Eigenvalue Problems4
Solving a quadratic matrix equation by Newton's method with exact line searches4
Steady finite-Reynolds-number flows in three-dimensional collapsible tubes4
On the Spectral Density Estimation of Periodically Correlated (Cyclostationary) Time Series4
Optimization by direct search in matrix computations4
Optimal Scaling for Random walk Metropolis on spherically constrained target densities4
Universal connection and curvature for statistical manifold geometry4
High-frequency self-excited oscillations in a collapsible-channel flow4
Topics in Matrix Computations: Stability and Efficiency of Algorithms4
Backward Stochastic Partial Differential Equations with Jumps and Application to Optimal Control of Random Jump Fields4
Finite presentation and purity in categories σ[M]4
Quantum mushroom billiards4
Classifying projective modules over some semilocal rings3
Analysis of thermal runaway in the ignition process3
Nonlinear time series analysis of jerk congenital nystagmus3
THE MAXIMAL 2-LOCAL GEOMETRY FOR J4, I3
Embedding Theorems for Non-uniformly Sampled Dynamical Systems3
The problem of differentiation of an Abelian function over its parameters3
Observations on the nature of reaction runaway in reaction-diffusion systems3
Nonlinear thoughts about linear signal processing3
Acceleration bundles on Banach and Frechet manifolds3
Global attractors of pinched skew products3
Improving the forward solver for the complete electrode model in EIT using algebraic multigrid3
An Interview with Peter Lancaster3
Improved error bounds for underdetermined system solvers3
Numerical solution of the Navier-Stokes equations for the flow in a cylinder cascade3
Stability of parallel triangular system solvers3
BASES, FILTRATIONS AND MODULE DECOMPOSITIONS OF FREE LIE ALGEBRAS3
Reviving the Method of Particular Solutions3
Structured Eigenvalue Condition Numbers3
The Conjugacy Problem in Amalgamated Products I: Regular Elements and Black Holes3
Accretion disc dynamos opened up by external magnetic fields3
Eye movement instabilities and nystagmus can be predicted by a nonlinear dynamics model of the saccadic system3
Magnetic Fields in barred galaxies: II Dynamo models3
Bifurcation and forced symmetry breaking in Hamiltonian systems3
The Hooley-Huxley contour method for problems in number fields I : arithmetic functions3
Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations3
Tangential structures on toric manifolds, and connected sums of polytopes3
Analysis of a nonlinear dynamics model of the saccadic system3
Fractals3
Shock waves, dead-zones and particle-free regions in rapid granular free surface flows3
Krylov subspace iterative techniques: on the detection of brain activity with electrical impedance tomography3
Fourier analysis of stabilised Q1-Q1 mixed finite element approximation3
Complex cobordism classes of homogeneous spaces3
Tridiagonal-diagonal reduction of symmetric indefinite pairs3
The Solution of S exp(S) = A is Not Always the Lambert W Function of A3
Using Mixed Precision for Sparse Matrix Computations to Enhance the Performance while Achieving 64-bit Accuracy3
Complex structure on the smooth dual of GL(n)3
Backward Error of Polynomial Eigenproblems Solved by Linearization3
Uniform decision problems for automatic semigrouos3
Mutual information and capacity of a linear digital channel3
Curve Crossing for the Reflected Levy Process at zero and infinity3
Torus Actions and their Applications in Topology and Combinatorics2
Numerical Solution of the Equations Governing 2D Eulerian Gas-Solid Two-Phase Flow2
Matrix powers in finite precision arithmetic2
Granular Vacua2
Solving the indefinite least squares problem by hyperbolic QR factorization2
Analysis of the early stage of thermal runaway2
The Conditioning of Linearizations of Matrix Polynomials2
Backward error and condition of structured linear systems2
A note on the geometry of linear Hamiltonian systems of signature 0 in R42
Hyperbolicity of the invariant set for the logistic map with $\mu > 4$2
Properties of Option Prices in a Jump Diffusion Model2
Cache Efficient Bidiagonalization Using BLAS 2.5 Operators2
One-sided indecomposable pure-injective modules over string algebras2
Infinite dimensional second order differential equations via $T^2M$2
Linear groups of finite Morley rank2
Openness of momentum maps and persistence of extremal relative equilibria2
Computing the Condition Number of Tridiagonal and Diagonal-Plus-Semiseparable Matrices in Linear Time2
Llama: an online microarray linear analysis tool2
Structured pseudospectra for polynomial eigenvalue problems, with applications2
Homotopy Decompositions and K-theory of Bott Towers2
Higher Order Cumulants of Random Vectors and Applications to Statistical Inference and Time Series2
Blocks with trivial intersection defect groups2
LAPACK-Style Codes for Pivoted Cholesky and QR Updating2
Coxeter Matroids2
Standard tableaux and Klyachko's Theorem on Lie representations2
Symplectic group actions and covering spaces2
Granular flow in partially filled slowly rotating drums2
A Black-Box Multigrid Preconditioner for the Biharmonic Equation2
Three-dimensional airway reopening: the steady propagation of a semi-indefinite bubble into a buckled elastic tube2
Singular value decomposition of multi-companion matrices2
Rationality as conformity2
The Hooley-Huxley contour method for problems in number fields II: factorization and divisibility2
Curve Crossing for the Reflected Process2
$\varepsilon$-constants and equivariant Arakelov-Euler characteristics2
Interpretation, coordination and conformity2
A new bound for the smallest x with \pi(x) > \li(x)2
Vector Spaces of Linearizations for Matrix Polynomials2
Krull-Gabriel dimension of 1-domestic string algebras2
Stochastic and Deterministic Analysis of SIS Household Epidemics2
Two-heteroclinic orbits emerging in the reversible homoclinic pitchfork bifurcation2
Stochastic Evolution Equations Driven by Compensated Poisson Measures: Existence, Uniqueness and Large Deviation Estimates2
Functions Preserving Matrix Groups and Iterations for the Matrix Square Root2
A Schur--Parlett Algorithm for Computing Matrix Functions2
Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations2
Level of repair analysis and minimum cost homomorphisms of graphs2
A signalizer functor theorem for groups of finite Morley rank2
Microarray Data Analysis Using Probabilistic Methods2
Relative Equilibria of Molecules2
The Russian option: Finite horizon2
The Embedding Problem for Probabilities on Locally Compact Groups2
A Note on Binary Inductive Logic2
Review of Bridges from Classical to Nonmonotonic Logic by David Makinson2
A continuum of inductive methods arising from a generalized principle of instantial relevance2
On the ratio X/Y for some elliptically symmetric distributions2
Milnor attractors and topological attractors of a piecewise linear map2
Golden gaskets: variations on the Sierpinski sieve2
Nonaxisymmetric magnetic field generation in rapidly rotating late-type stars1
A Note on Weak and Strong Linearizations of Regular Matrix Polynomials1
Three-dimensional free convection in molten gallium1
Splitting for dissipative particle dynamics1
Symplectic Amalgams1
Torsion classes of finite type and spectra1
Magnetohydrodynamic damping of convective flows in molten gallium1
The nonsmooth pitchfork bifurcation1
Ideals in mod-R and the ω-radical1
Vector Spaces of Linearizations for Matrix Polynomials1
On the Value of Optimal Stopping Games1
Model theory of comodules1
Serial Rings1
When gap solitons become embedded solitons: a generic unfolding1
Structured Mapping Problems for Matrices Associated with Scalar Products Part I: Lie and Jordan Algebras1
Stability of Relative Equilibria of Point Vortices on the Sphere1
Colimits, Stanley-Reisner algebras, and loop spaces1
Structured Linearizations for Matrix Polynomials1
Row-wise backward stable elimination methods for the equality constrained least squares problem1
On Davis-Januszkiewicz homotopy types I; formality and rationalisation1
Bordism classes represented by multiple point manifolds of immersed manifolds1
Parameter-free H(div) preconditioning for mixed finite element formulation of diffusion problems1
Set-theoretical solutions to the Yang-Baxter Relation from factorization of matrix polynomials and theta functions1
Vertices for irreducible characters of a class of blocks1
A theory for particle size segregation in shallow granular free-surface flows1
Structured backward error and condition of generalized eigenvalue problems1
The problem of differentiation of an Abelian function over its parameters1
Conjugate connections and differential equations on infinite dimensional manifolds1
Complex cobordism classes of homogeneous spaces1
Bifurcation of a reversible Hamiltonian system from a fixed point with fourfold eigenvalue zero1
Statistical Analysis and Time Series Models for Minimum/Maximum Temperatures in the Antarctic Peninsula1
Imperfect homoclinic bifurcations1
THE MAXIMAL 2-LOCAL GEOMETRY FOR J4, II1
Structured Mapping Problems for Matrices Associated with Scalar Products Part I: Lie and Jordan Algebras1
Once again on the supersonic flow separation near a corner1
THE MAXIMAL 2-LOCAL GEOMETRY FOR J4, III1
Stability of the diagonal pivoting method with partial pivoting1
Bundles of acceleration on Banach manifolds1
Magnetohydrodynamic damping of oscillations in low-Prandtl-number convection1
Overshoots and undershoots of Lévy Processes1
About a homoclinic pitchfork bifurcation in reversible systems with additional Z2-symmetry1
Optimal Preconditioning for Raviart-Thomas Mixed Formulation of Second-Order Elliptic Problems1
Computing the Polar Decomposition and the Matrix Sign Decomposition in Matrix Groups1
Modelling Heterogeneous Covariances in the Growth Curve Models1
Homoclinic Snaking near a Heteroclinic Cycle in Reversible Systems1
Reconstructing projective schemes from Serre subcategories1
Rotation numbers for quasi-periodically forced monotone circle maps1
On the minmal parabolic system related to the monster simple group1
Using human immunodeficiency virus type 1 sequences to infer historical features of the acquired immune deficiency syndrome epidemic and human immunodeficiency virus evolution1
The Trap of Complacency in Predicting the Maximum1