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| 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 |
| Accuracy and Stability of Numerical Algorithms | 26 |
| Limitations of the PlayStation 3 for High Performance Cluster Computing | 26 |
| IFISS: a Matlab toolbox for modelling incompressible flow | 26 |
| SDELab: stochastic differential equations with MATLAB | 25 |
| Recent Developments in Dense Numerical Linear Algebra | 25 |
| LAPACK-Style Codes for Pivoted Cholesky and QR Updating | 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 |
| A modified Cholesky algorithm based on a symmetric indefinite factorization | 22 |
| The Conditioning of Linearizations of Matrix Polynomials | 22 |
| Scaling, Sensitivity and Stability in the Numerical Solution of Quadratic Eigenvalue Problems | 21 |
| Part 1: the reconstruction problem | 19 |
| Mathematical abilities and mathematical skills | 18 |
| Mathematics under the Microscope | 18 |
| Structured Linearizations for Matrix Polynomials | 18 |
| Multivariate Non-Linear Regression with Applications: A Frequency Domain Approach | 17 |
| 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 |
| An Introduction to the Quality of Computed Solutions | 16 |
| Structured Eigenvalue Condition Numbers | 15 |
| Numerical Modelling of Eulerian Two-Phase Gas-Solid Flow | 15 |
| Ownership and Control: A Small-World Analysis | 15 |
| Functions of Matrices | 14 |
| Prediction of regulatory networks: identification of transcription factor-target relationship from gene ontology information and gene expression data | 14 |
| Geometric Mechanics and Symmetry: The Peyresq Lectures | 13 |
| 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 |
| Fast polar decomposition of an arbitrary matrix | 12 |
| Efficient Algorithms for the Matrix Cosine and Sine | 12 |
| Bounding the error in Gaussian elimination for tridiagonal systems | 12 |
| Total Variation Regularization in Electrical Impedance Tomography | 12 |
| Algorithms for Cholesky and QR Factorizations, and the Semidefinite Generalized Eigenvalue Problem | 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 |
| Electromagnetic inverse problems for nematic liquid crystals and capacitance imaging | 11 |
| Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow | 11 |
| A Review on the Numerical Solution of the 1D Euler Equations | 11 |
| Computing the Nearest Correlation Matrix---A Problem from Finance | 11 |
| Topics in Information Geometry | 11 |
| Permutation groups of finite Morley rank | 10 |
| 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 |
| Large growth factors in Gaussian elimination with pivoting | 10 |
| Bordism groups of immersions and classes represented by self-intersections | 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 |
| The quadratic eigenvalue problem | 9 |
| Stability and Convergence of the Method of Fundamental Solutions for Helmholtz problems on analytic domains | 9 |
| 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 |
| Model-theoretic imaginaries and coherent sheaves | 9 |
| The Solution of S exp(S) = A is Not Always the Lambert W Function of A | 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 |
| Embedding Nonlinear Dynamical Systems: A Guide to Takens' Theorem | 8 |
| 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 |
| Geometric methods for anisotopic inverse boundary value problems. | 8 |
| Computations of Eigenvalue Avoidance in Planar Domains | 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 |
| 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 |
| THE EQUATION [x,u]+[y,v]=0 IN FREE LIE ALGEBRAS | 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 |
| Symmetric Linearizations for Matrix Polynomials | 7 |
| Tomographic reconstruction of stress from photoelastic measurements using elastic regularization. | 7 |
| Backward Error of Polynomial Eigenproblems Solved by Linearization | 7 |
| Metabolic Pathway Modeling by Using the Nearest Neighbor Algorithm | 7 |
| The Effects of State Dependent and State Independent Probabilistic Updating on Boolean Network Dynamics | 7 |
| Adaptive time-stepping for incompressible flow. Part I: scalar advection-diffusion | 7 |
| 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 problems | 7 |
| Iterative Solution of a Nonsymmetric Algebraic Riccati Equation | 6 |
| Iterated Function System Models of Digital Channels | 6 |
| The Weak Euler Scheme for Stochastic Differential Delay Equations | 6 |
| Approximating the logarithm of a matrix to specified accuracy | 6 |
| Stochastic Modeling of Gene Regulatory Networks | 6 |
| Rings of definable scalars of Verma modules | 6 |
| Localised Bombieri-Vinogradov theorems in imaginary quadratic fields | 6 |
| $J$-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 |
| The Polynomial Eigenvalue Problem | 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 |
| Hénon map | 6 |
| Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems | 6 |
| Experience with a Matrix Norm Estimator | 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 |
| A NON-CLASSICAL APPROACH TO MAXIMUM ENTROPY IN UNCERTAIN REASONING | 6 |
| Monodromy of certain Painlevé-VI transcendents and reflection groups | 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 |
| Symmetric Linearizations for Matrix Polynomials | 5 |
| Computing the Geodesic Interpolating Spline | 5 |
| Effective wave propagation in a prestressed nonlinear elastic composite bar | 5 |
| 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 |
| A Schur-Newton Method for the Matrix p'th Root and its Inverse | 5 |
| How chaotic are strange nonchaotic attractors? | 5 |
| Large Modelling Conditional Covariance in the Linear Mixed Model | 5 |
| The Mathematics of Motion Camouflage | 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 |
| Longitudinal and Cross-Sectional Analysis of Cytotoxic T Lymphocyte (CTL) Responses and their Relationship to Vertical HIV Transmission | 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 |
| Coupled thermoelasticity in a composite half-space | 5 |
| A note on vertices of simple modules | 5 |
| 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 |
| The universal equivariant genus and Krichever's formula | 4 |
| Phytoplankton biomass and residual nitrate in the pelagic ecosystem | 4 |
| Persistence and stability of relative equilibria | 4 |
| Vortex dynamics on cylinders | 4 |
| The accumulation of boundary doubling for modified tent maps | 4 |
| From finite to infinite dimensional dynamical systems | 4 |
| A short review on Landsberg spaces | 4 |
| Model-Updating for Symmetric Quadratic Eigenvalue Problems | 4 |
| Solving a quadratic matrix equation by Newton's method with exact line searches | 4 |
| On the Spectral Density Estimation of Periodically Correlated (Cyclostationary) Time Series | 4 |
| Optimization by direct search in matrix computations | 4 |
| Steady finite-Reynolds-number flows in three-dimensional collapsible tubes | 4 |
| Optimal Scaling for Random walk Metropolis on spherically constrained target densities | 4 |
| High-frequency self-excited oscillations in a collapsible-channel flow | 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 |
| Quantum mushroom billiards | 4 |
| Finite presentation and purity in categories σ[M] | 4 |
| Classifying projective modules over some semilocal rings | 3 |
| Analysis of thermal runaway in the ignition process | 3 |
| Nonlinear time series analysis of jerk congenital nystagmus | 3 |
| THE MAXIMAL 2-LOCAL GEOMETRY FOR J4, I | 3 |
| Embedding Theorems for Non-uniformly Sampled Dynamical Systems | 3 |
| Observations on the nature of reaction runaway in reaction-diffusion systems | 3 |
| The problem of differentiation of an Abelian function over its parameters | 3 |
| Nonlinear thoughts about linear signal processing | 3 |
| Acceleration bundles on Banach and Frechet manifolds | 3 |
| Global attractors of pinched skew products | 3 |
| Improving the forward solver for the complete electrode model in EIT using algebraic multigrid | 3 |
| An Interview with Peter Lancaster | 3 |
| Stability of parallel triangular system solvers | 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 |
| Structured Eigenvalue Condition Numbers | 3 |
| The Conjugacy Problem in Amalgamated Products I: Regular Elements and Black Holes | 3 |
| Reviving the Method of Particular Solutions | 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 |
| The Hooley-Huxley contour method for problems in number fields I : arithmetic functions | 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 |
| 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 |
| Complex cobordism classes of homogeneous spaces | 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 |
| Curve Crossing for the Reflected Levy Process at zero and infinity | 3 |
| Mutual information and capacity of a linear digital channel | 3 |
| Numerical Solution of the Equations Governing 2D Eulerian Gas-Solid Two-Phase Flow | 2 |
| Matrix powers in finite precision arithmetic | 2 |
| Torus Actions and their Applications in Topology and Combinatorics | 2 |
| Granular Vacua | 2 |
| Solving the indefinite least squares problem by hyperbolic QR factorization | 2 |
| Analysis of the early stage of thermal runaway | 2 |
| The Conditioning of Linearizations of Matrix Polynomials | 2 |
| Backward error and condition of structured linear systems | 2 |
| A note on the geometry of linear Hamiltonian systems of signature 0 in R4 | 2 |
| Hyperbolicity of the invariant set for the logistic map with $\mu > 4$ | 2 |
| Cache Efficient Bidiagonalization Using BLAS 2.5 Operators | 2 |
| One-sided indecomposable pure-injective modules over string algebras | 2 |
| Properties of Option Prices in a Jump Diffusion Model | 2 |
| Infinite dimensional second order differential equations via $T^2M$ | 2 |
| Linear groups of finite Morley rank | 2 |
| Computing the Condition Number of Tridiagonal and Diagonal-Plus-Semiseparable Matrices in Linear Time | 2 |
| Llama: an online microarray linear analysis tool | 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 |
| Blocks with trivial intersection defect groups | 2 |
| LAPACK-Style Codes for Pivoted Cholesky and QR Updating | 2 |
| Coxeter Matroids | 2 |
| Higher Order Cumulants of Random Vectors and Applications to Statistical Inference and Time Series | 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 |
| 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 |
| Rationality as conformity | 2 |
| The Hooley-Huxley contour method for problems in number fields II: factorization and divisibility | 2 |
| Singular value decomposition of multi-companion matrices | 2 |
| $\varepsilon$-constants and equivariant Arakelov-Euler characteristics | 2 |
| Interpretation, coordination and conformity | 2 |
| Curve Crossing for the Reflected Process | 2 |
| Vector Spaces of Linearizations for Matrix Polynomials | 2 |
| Krull-Gabriel dimension of 1-domestic string algebras | 2 |
| A new bound for the smallest x with \pi(x) > \li(x) | 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 |
| A Schur--Parlett Algorithm for Computing Matrix Functions | 2 |
| Stochastic and Deterministic Analysis of SIS Household Epidemics | 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 |
| Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations | 2 |
| Level of repair analysis and minimum cost homomorphisms of graphs | 2 |
| The Embedding Problem for Probabilities on Locally Compact Groups | 2 |
| A Note on Binary Inductive Logic | 2 |
| Milnor attractors and topological attractors of a piecewise linear map | 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 |
| 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 |
| Nonaxisymmetric magnetic field generation in rapidly rotating late-type stars | 1 |
| Magnetohydrodynamic damping of convective flows in molten gallium | 1 |
| The nonsmooth pitchfork bifurcation | 1 |
| Ideals in mod-R and the ω-radical | 1 |
| Vector Spaces of Linearizations for Matrix Polynomials | 1 |
| On the Value of Optimal Stopping Games | 1 |
| Model theory of comodules | 1 |
| Serial Rings | 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 |
| Structured Linearizations for Matrix Polynomials | 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 |
| Row-wise backward stable elimination methods for the equality constrained least squares problem | 1 |
| On Davis-Januszkiewicz homotopy types I; formality and rationalisation | 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 |
| 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 |
| A theory for particle size segregation in shallow granular free-surface flows | 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 |
| Imperfect homoclinic bifurcations | 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 |
| 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 |
| Computing the Polar Decomposition and the Matrix Sign Decomposition in Matrix Groups | 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 |