Document | Downloads |

The Scaling and Squaring Method for the Matrix Exponential Revisited | 49 |

Functions of Matrices | 43 |

Computing $A^\alpha$, $\log(A)$ and Related Matrix Functions by Contour Integrals | 41 |

Limitations of the PlayStation 3 for High Performance Cluster Computing | 26 |

IFISS: a Matlab toolbox for modelling incompressible flow | 26 |

Accuracy and Stability of Numerical Algorithms | 26 |

Recent Developments in Dense Numerical Linear Algebra | 25 |

LAPACK-Style Codes for Pivoted Cholesky and QR Updating | 25 |

SDELab: stochastic differential equations with MATLAB | 25 |

A Schur-Newton Method for the Matrix p'th Root and its Inverse | 24 |

Computing the Polar Decomposition---with Applications | 24 |

PIFISS Potential (Incompressible) Flow & Iterative Solution Software guide | 23 |

The Conditioning of Linearizations of Matrix Polynomials | 22 |

A modified Cholesky algorithm based on a symmetric indefinite factorization | 22 |

Scaling, Sensitivity and Stability in the Numerical Solution of Quadratic Eigenvalue Problems | 21 |

Part 1: the reconstruction problem | 19 |

Mathematics under the Microscope | 18 |

Structured Linearizations for Matrix Polynomials | 18 |

Mathematical abilities and mathematical skills | 18 |

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 Matrices | 17 |

Model theory for algebra | 17 |

Multivariate Non-Linear Regression with Applications: A Frequency Domain Approach | 17 |

An Introduction to the Quality of Computed Solutions | 16 |

Numerical Modelling of Eulerian Two-Phase Gas-Solid Flow | 15 |

Ownership and Control: A Small-World Analysis | 15 |

Structured Eigenvalue Condition Numbers | 15 |

Functions of Matrices | 14 |

Prediction of regulatory networks: identification of transcription factor-target relationship from gene ontology information and gene expression data | 14 |

A Survey of Componentwise Perturbation Theory | 13 |

Symplectic integrators and optimal control | 13 |

Scaling, Sensitivity and Stability in the Numerical Solution of Quadratic Eigenvalue Problems | 13 |

Symmetric Linearizations for Matrix Polynomials | 13 |

Efficient Algorithms for Computing the Condition Number of a Tridiagonal Matrix | 13 |

Reaction and Diffusion on the Sierpinski Gasket | 13 |

Iterative Solution of a Nonsymmetric Algebraic Riccati Equation | 13 |

Model theory and modules | 13 |

Geometric Mechanics and Symmetry: The Peyresq Lectures | 13 |

Bounding the error in Gaussian elimination for tridiagonal systems | 12 |

Algorithms for Cholesky and QR Factorizations, and the Semidefinite Generalized Eigenvalue Problem | 12 |

Total Variation Regularization in Electrical Impedance Tomography | 12 |

Cryptographic Applications of Non-Commutative Algebraic Structures and Investigations of Nonlinear Recursions | 12 |

Post processing for stochastic parabolic partial differential equations | 12 |

Computed eigenmodes of planar regions | 12 |

On the Definition of Two Natural Classes of Scalar Product | 12 |

Fast polar decomposition of an arbitrary matrix | 12 |

Efficient Algorithms for the Matrix Cosine and Sine | 12 |

Electromagnetic inverse problems for nematic liquid crystals and capacitance imaging | 11 |

A Review on the Numerical Solution of the 1D Euler Equations | 11 |

Computing the Nearest Correlation Matrix---A Problem from Finance | 11 |

Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow | 11 |

Topics in Information Geometry | 11 |

Codes for spread spectrum applications generated using chaotic dynamical systems | 10 |

Ranking the Importance of Boards of Directors | 10 |

Viscous linear stability analysis of rectangular duct and cavity flows | 10 |

Bordism groups of immersions and classes represented by self-intersections | 10 |

Large growth factors in Gaussian elimination with pivoting | 10 |

The Sensitivity of Computational Control Problems | 10 |

Tomographic reconstruction of stress from photoelastic measurements using elastic regularization. | 10 |

Stability analysis of algorithms for solving confluent Vandermonde-like systems | 10 |

Permutation groups of finite Morley rank | 10 |

The Zariski spectrum of the category of finitely presented modules | 9 |

An Iterative Method for Electrostatic Object Reconstruction in a Half Space | 9 |

Stochastic Resonance in Vision: Models and Data | 9 |

Growth Curve Models and Statistical Diagnostics | 9 |

The Small World Network Structure of Boards of Directors | 9 |

The Solution of S exp(S) = A is Not Always the Lambert W Function of A | 9 |

Model-theoretic imaginaries and coherent sheaves | 9 |

Triangulated categories and the Ziegler spectrum | 9 |

Efficient order selection algorithms for integer valued ARMA processes | 9 |

A Study of the Matrix Exponential | 9 |

The quadratic eigenvalue problem | 9 |

Stability and Convergence of the Method of Fundamental Solutions for Helmholtz problems on analytic domains | 9 |

Flame propagation in a nonuniform mixture: analysis of a slowly varying triple flame | 8 |

Infinite dimensional second order differential equations via $T^2M$ | 8 |

Injective objects in triangulated categories | 8 |

Computing the Polar Decomposition and the Matrix Sign Decomposition in Matrix Groups | 8 |

Computations of Eigenvalue Avoidance in Planar Domains | 8 |

Geometric methods for anisotopic inverse boundary value problems. | 8 |

Functions Preserving Matrix Groups and Iterations for the Matrix Square Root | 8 |

Permutation groups of finite Morley rank | 8 |

Does Reaction-diffusion Dynamics on a Fractal Space Imply Power Law Behaviour? | 8 |

MATLAB Toolbox for Classical Matrix Groups | 8 |

Embedding Nonlinear Dynamical Systems: A Guide to Takens' Theorem | 8 |

THE EQUATION [x,u]+[y,v]=0 IN FREE LIE ALGEBRAS | 7 |

Symmetric Linearizations for Matrix Polynomials | 7 |

The Ariel Project: A prospective cohort study of maternal-child transmission of human immunodeficiency virus type 1 in the era of maternal antiretroviral therapy | 7 |

Tomographic reconstruction of stress from photoelastic measurements using elastic regularization. | 7 |

The Effects of State Dependent and State Independent Probabilistic Updating on Boolean Network Dynamics | 7 |

Backward Error of Polynomial Eigenproblems Solved by Linearization | 7 |

Metabolic Pathway Modeling by Using the Nearest Neighbor Algorithm | 7 |

Computing $f(A)b$ for Matrix Functions $f$ | 7 |

Adaptive time-stepping for incompressible flow. Part I: scalar advection-diffusion | 7 |

A Study of Segregation in Granular Gravity Driven Free Surface Flows. | 7 |

A GSVD formulation of a domain decomposition method for planar eigenvalue problems | 7 |

Symmetric Hamiltonian Bifurcations | 7 |

Backward Error of Polynomial Eigenproblems Solved by Linearization | 7 |

Cross-Subtype T-Cell Immune Responses Induced by a Human Immunodeficiency Virus Type 1 Group M Consensus Env Immunogen | 7 |

$J$-Orthogonal Matrices: Properties and Generation | 6 |

Recent developments in the asymptotic theory of separated flows. Leverhulme lectures - lecture notes. | 6 |

On Reflecting Brownian Motion with Drift | 6 |

Posets of matrices, and permutations with forbidden subsequences | 6 |

The Generalized Singular Value Decomposition and the Method of Particular Solutions | 6 |

Stability of a method for multiplying complex matrices with three real matrix multiplications | 6 |

Review: Practical Design and Analysis of 2-Colour cDNA Microarray Experiments | 6 |

Analysis of the inverse problem for determining nematic liquid crystal director profiles from optical measurements using singular value decomposition. | 6 |

Structured Mapping Problems for Matrices Associated with Scalar Products Part I: Lie and Jordan Algebras | 6 |

The Polynomial Eigenvalue Problem | 6 |

Experience with a Matrix Norm Estimator | 6 |

Hénon map | 6 |

Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems | 6 |

Invariant Manifolds and Sets | 6 |

A three-phase mixture theory for particle size segregation in shallow granular free-surface flows | 6 |

Snaking of multiple homoclinic orbits in reversible systems | 6 |

Monodromy of certain Painlevé-VI transcendents and reflection groups | 6 |

A NON-CLASSICAL APPROACH TO MAXIMUM ENTROPY IN UNCERTAIN REASONING | 6 |

Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow | 6 |

A block algorithm for matrix 1-norm estimation, with an application to 1-norm pseudospectra | 6 |

Iterative Solution of a Nonsymmetric Algebraic Riccati Equation | 6 |

Iterated Function System Models of Digital Channels | 6 |

Approximating the logarithm of a matrix to specified accuracy | 6 |

Stochastic Modeling of Gene Regulatory Networks | 6 |

The Weak Euler Scheme for Stochastic Differential Delay Equations | 6 |

Localised Bombieri-Vinogradov theorems in imaginary quadratic fields | 6 |

Rings of definable scalars of Verma modules | 6 |

Asymptotic matching constraints for a boundary-layer flow of a power-law fluid | 5 |

Local-global principle for the Baum-Connes conjecture with coefficients | 5 |

Structured Condition Numbers and Backward Errors in Scalar Product Spaces | 5 |

Effective wave propagation in a prestressed nonlinear elastic composite bar | 5 |

A Schur-Newton Method for the Matrix p'th Root and its Inverse | 5 |

Large Modelling Conditional Covariance in the Linear Mixed Model | 5 |

The Mathematics of Motion Camouflage | 5 |

How chaotic are strange nonchaotic attractors? | 5 |

Longitudinal and Cross-Sectional Analysis of Cytotoxic T Lymphocyte (CTL) Responses and their Relationship to Vertical HIV Transmission | 5 |

Definable additive categories: purity and model theory | 5 |

Continua of states in boundary-layer flows | 5 |

Notes on Hyperbolic Matrix Polynomials and Definite Linearizations | 5 |

Recursive estimation and order determination of space-time autoregressive processes | 5 |

Classifying Serre subcategories of finitely presented modules | 5 |

Black-Box Preconditioning for Self-Adjoint Elliptic PDEs | 5 |

Shock wave interaction with viscous wake in supersonic flow | 5 |

Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations | 5 |

Graded Manifolds and Drinfeld Doubles for Lie Bialgebroids | 5 |

Solving Systems of Linear Equations on the CELL Processor Using Cholesky Factorization | 5 |

Generation of anisotropic-smoothness regularization filters for EIT | 5 |

A note on vertices of simple modules | 5 |

Coupled thermoelasticity in a composite half-space | 5 |

Symmetric Linearizations for Matrix Polynomials | 5 |

Computing the Geodesic Interpolating Spline | 5 |

The universal equivariant genus and Krichever's formula | 4 |

Vortex dynamics on cylinders | 4 |

Phytoplankton biomass and residual nitrate in the pelagic ecosystem | 4 |

Persistence and stability of relative equilibria | 4 |

The accumulation of boundary doubling for modified tent maps | 4 |

From finite to infinite dimensional dynamical systems | 4 |

Model-Updating for Symmetric Quadratic Eigenvalue Problems | 4 |

A short review on Landsberg spaces | 4 |

Solving a quadratic matrix equation by Newton's method with exact line searches | 4 |

Steady finite-Reynolds-number flows in three-dimensional collapsible tubes | 4 |

On the Spectral Density Estimation of Periodically Correlated (Cyclostationary) Time Series | 4 |

Optimization by direct search in matrix computations | 4 |

Optimal Scaling for Random walk Metropolis on spherically constrained target densities | 4 |

Topics in Matrix Computations: Stability and Efficiency of Algorithms | 4 |

Backward Stochastic Partial Differential Equations with Jumps and Application to Optimal Control of Random Jump Fields | 4 |

Universal connection and curvature for statistical manifold geometry | 4 |

High-frequency self-excited oscillations in a collapsible-channel flow | 4 |

Quantum mushroom billiards | 4 |

Finite presentation and purity in categories σ[M] | 4 |

Some model theory of sheaves of modules | 4 |

Optimal Scaling of Random Walk Metropolis algorithms with Discontinuous target densities | 4 |

A Jacobi-Davidson type projection method for nonlinear eigenvalue problems | 4 |

Routes to Chaos | 4 |

Acceleration bundles on Banach and Frechet manifolds | 3 |

Nonlinear thoughts about linear signal processing | 3 |

Improving the forward solver for the complete electrode model in EIT using algebraic multigrid | 3 |

An Interview with Peter Lancaster | 3 |

Global attractors of pinched skew products | 3 |

BASES, FILTRATIONS AND MODULE DECOMPOSITIONS OF FREE LIE ALGEBRAS | 3 |

Improved error bounds for underdetermined system solvers | 3 |

Numerical solution of the Navier-Stokes equations for the flow in a cylinder cascade | 3 |

Stability of parallel triangular system solvers | 3 |

Reviving the Method of Particular Solutions | 3 |

Structured Eigenvalue Condition Numbers | 3 |

The Conjugacy Problem in Amalgamated Products I: Regular Elements and Black Holes | 3 |

Accretion disc dynamos opened up by external magnetic fields | 3 |

Eye movement instabilities and nystagmus can be predicted by a nonlinear dynamics model of the saccadic system | 3 |

Magnetic Fields in barred galaxies: II Dynamo models | 3 |

Bifurcation and forced symmetry breaking in Hamiltonian systems | 3 |

Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations | 3 |

Tangential structures on toric manifolds, and connected sums of polytopes | 3 |

Analysis of a nonlinear dynamics model of the saccadic system | 3 |

The Hooley-Huxley contour method for problems in number fields I : arithmetic functions | 3 |

Complex cobordism classes of homogeneous spaces | 3 |

Fractals | 3 |

Shock waves, dead-zones and particle-free regions in rapid granular free surface flows | 3 |

Krylov subspace iterative techniques: on the detection of brain activity with electrical impedance tomography | 3 |

Fourier analysis of stabilised Q1-Q1 mixed finite element approximation | 3 |

Tridiagonal-diagonal reduction of symmetric indefinite pairs | 3 |

The Solution of S exp(S) = A is Not Always the Lambert W Function of A | 3 |

Backward Error of Polynomial Eigenproblems Solved by Linearization | 3 |

Uniform decision problems for automatic semigrouos | 3 |

Using Mixed Precision for Sparse Matrix Computations to Enhance the Performance while Achieving 64-bit Accuracy | 3 |

Complex structure on the smooth dual of GL(n) | 3 |

Mutual information and capacity of a linear digital channel | 3 |

Curve Crossing for the Reflected Levy Process at zero and infinity | 3 |

Classifying projective modules over some semilocal rings | 3 |

Analysis of thermal runaway in the ignition process | 3 |

Embedding Theorems for Non-uniformly Sampled Dynamical Systems | 3 |

Nonlinear time series analysis of jerk congenital nystagmus | 3 |

THE MAXIMAL 2-LOCAL GEOMETRY FOR J4, I | 3 |

The problem of differentiation of an Abelian function over its parameters | 3 |

Observations on the nature of reaction runaway in reaction-diffusion systems | 3 |

Hyperbolicity of the invariant set for the logistic map with $\mu > 4$ | 2 |

Properties of Option Prices in a Jump Diffusion Model | 2 |

Cache Efficient Bidiagonalization Using BLAS 2.5 Operators | 2 |

One-sided indecomposable pure-injective modules over string algebras | 2 |

Infinite dimensional second order differential equations via $T^2M$ | 2 |

Linear groups of finite Morley rank | 2 |

Structured pseudospectra for polynomial eigenvalue problems, with applications | 2 |

Homotopy Decompositions and K-theory of Bott Towers | 2 |

Openness of momentum maps and persistence of extremal relative equilibria | 2 |

Computing the Condition Number of Tridiagonal and Diagonal-Plus-Semiseparable Matrices in Linear Time | 2 |

Llama: an online microarray linear analysis tool | 2 |

Higher Order Cumulants of Random Vectors and Applications to Statistical Inference and Time Series | 2 |

Blocks with trivial intersection defect groups | 2 |

LAPACK-Style Codes for Pivoted Cholesky and QR Updating | 2 |

Coxeter Matroids | 2 |

A Black-Box Multigrid Preconditioner for the Biharmonic Equation | 2 |

Three-dimensional airway reopening: the steady propagation of a semi-indefinite bubble into a buckled elastic tube | 2 |

Standard tableaux and Klyachko's Theorem on Lie representations | 2 |

Symplectic group actions and covering spaces | 2 |

Granular flow in partially filled slowly rotating drums | 2 |

The Hooley-Huxley contour method for problems in number fields II: factorization and divisibility | 2 |

Singular value decomposition of multi-companion matrices | 2 |

Rationality as conformity | 2 |

Curve Crossing for the Reflected Process | 2 |

$\varepsilon$-constants and equivariant Arakelov-Euler characteristics | 2 |

Interpretation, coordination and conformity | 2 |

A new bound for the smallest x with \pi(x) > \li(x) | 2 |

Vector Spaces of Linearizations for Matrix Polynomials | 2 |

Krull-Gabriel dimension of 1-domestic string algebras | 2 |

A Schur--Parlett Algorithm for Computing Matrix Functions | 2 |

Stochastic and Deterministic Analysis of SIS Household Epidemics | 2 |

Two-heteroclinic orbits emerging in the reversible homoclinic pitchfork bifurcation | 2 |

Stochastic Evolution Equations Driven by Compensated Poisson Measures: Existence, Uniqueness and Large Deviation Estimates | 2 |

Functions Preserving Matrix Groups and Iterations for the Matrix Square Root | 2 |

Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations | 2 |

Level of repair analysis and minimum cost homomorphisms of graphs | 2 |

A signalizer functor theorem for groups of finite Morley rank | 2 |

Microarray Data Analysis Using Probabilistic Methods | 2 |

Relative Equilibria of Molecules | 2 |

The Russian option: Finite horizon | 2 |

The Embedding Problem for Probabilities on Locally Compact Groups | 2 |

A Note on Binary Inductive Logic | 2 |

Golden gaskets: variations on the Sierpinski sieve | 2 |

Review of Bridges from Classical to Nonmonotonic Logic by David Makinson | 2 |

A continuum of inductive methods arising from a generalized principle of instantial relevance | 2 |

On the ratio X/Y for some elliptically symmetric distributions | 2 |

Milnor attractors and topological attractors of a piecewise linear map | 2 |

Matrix powers in finite precision arithmetic | 2 |

Torus Actions and their Applications in Topology and Combinatorics | 2 |

Numerical Solution of the Equations Governing 2D Eulerian Gas-Solid Two-Phase Flow | 2 |

Granular Vacua | 2 |

Solving the indefinite least squares problem by hyperbolic QR factorization | 2 |

Analysis of the early stage of thermal runaway | 2 |

A note on the geometry of linear Hamiltonian systems of signature 0 in R4 | 2 |

The Conditioning of Linearizations of Matrix Polynomials | 2 |

Backward error and condition of structured linear systems | 2 |

Structured Linearizations for Matrix Polynomials | 1 |

When gap solitons become embedded solitons: a generic unfolding | 1 |

Structured Mapping Problems for Matrices Associated with Scalar Products Part I: Lie and Jordan Algebras | 1 |

Stability of Relative Equilibria of Point Vortices on the Sphere | 1 |

Colimits, Stanley-Reisner algebras, and loop spaces | 1 |

Row-wise backward stable elimination methods for the equality constrained least squares problem | 1 |

On Davis-Januszkiewicz homotopy types I; formality and rationalisation | 1 |

Bordism classes represented by multiple point manifolds of immersed manifolds | 1 |

Parameter-free H(div) preconditioning for mixed finite element formulation of diffusion problems | 1 |

Set-theoretical solutions to the Yang-Baxter Relation from factorization of matrix polynomials and theta functions | 1 |

Vertices for irreducible characters of a class of blocks | 1 |

A theory for particle size segregation in shallow granular free-surface flows | 1 |

Structured backward error and condition of generalized eigenvalue problems | 1 |

The problem of differentiation of an Abelian function over its parameters | 1 |

Conjugate connections and differential equations on infinite dimensional manifolds | 1 |

Imperfect homoclinic bifurcations | 1 |

Complex cobordism classes of homogeneous spaces | 1 |

Bifurcation of a reversible Hamiltonian system from a fixed point with fourfold eigenvalue zero | 1 |

Statistical Analysis and Time Series Models for Minimum/Maximum Temperatures in the Antarctic Peninsula | 1 |

THE MAXIMAL 2-LOCAL GEOMETRY FOR J4, II | 1 |

Structured Mapping Problems for Matrices Associated with Scalar Products Part I: Lie and Jordan Algebras | 1 |

Once again on the supersonic flow separation near a corner | 1 |

THE MAXIMAL 2-LOCAL GEOMETRY FOR J4, III | 1 |

Stability of the diagonal pivoting method with partial pivoting | 1 |

Bundles of acceleration on Banach manifolds | 1 |

Magnetohydrodynamic damping of oscillations in low-Prandtl-number convection | 1 |

Overshoots and undershoots of Lévy Processes | 1 |

Computing the Polar Decomposition and the Matrix Sign Decomposition in Matrix Groups | 1 |

About a homoclinic pitchfork bifurcation in reversible systems with additional Z2-symmetry | 1 |

Optimal Preconditioning for Raviart-Thomas Mixed Formulation of Second-Order Elliptic Problems | 1 |

Modelling Heterogeneous Covariances in the Growth Curve Models | 1 |

Homoclinic Snaking near a Heteroclinic Cycle in Reversible Systems | 1 |

Reconstructing projective schemes from Serre subcategories | 1 |

Rotation numbers for quasi-periodically forced monotone circle maps | 1 |

On the minmal parabolic system related to the monster simple group | 1 |

Using human immunodeficiency virus type 1 sequences to infer historical features of the acquired immune deficiency syndrome epidemic and human immunodeficiency virus evolution | 1 |

The Trap of Complacency in Predicting the Maximum | 1 |

Nonaxisymmetric magnetic field generation in rapidly rotating late-type stars | 1 |

A Note on Weak and Strong Linearizations of Regular Matrix Polynomials | 1 |

Three-dimensional free convection in molten gallium | 1 |

Splitting for dissipative particle dynamics | 1 |

Symplectic Amalgams | 1 |

Torsion classes of finite type and spectra | 1 |

Vector Spaces of Linearizations for Matrix Polynomials | 1 |

Magnetohydrodynamic damping of convective flows in molten gallium | 1 |

The nonsmooth pitchfork bifurcation | 1 |

Ideals in mod-R and the ω-radical | 1 |

On the Value of Optimal Stopping Games | 1 |

Model theory of comodules | 1 |

Serial Rings | 1 |