Document | Downloads |

An Exploration of the Relationship between Mathematics and Music | 614 |

The quadratic eigenvalue problem | 161 |

Mathematics under the Microscope | 149 |

Computing the Nearest Correlation Matrix---A Problem from Finance | 138 |

Detecting the Causes of Ill-Conditioning in Structural Finite Element Models | 113 |

Analysis of the Cholesky Decomposition of a Semi-definite Matrix | 90 |

Two Dictionaries of Mathematics, 1679 and 1989 | 60 |

Finite Elements and Fast Iterative Solvers: With Applications in Incompressible Fluid Dynamics | 59 |

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

Updating the QR factorization and the least squares problem | 41 |

A Review on the Numerical Solution of the 1D Euler Equations | 40 |

Hedging Strategies : Complete and Incomplete Systems of Markets | 39 |

Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators | 38 |

On filling-in missing conditional probabilities in causal networks | 36 |

Information Geometry: Near Randomness and Near Independence | 36 |

Part 1: the reconstruction problem | 36 |

Cayley, Sylvester, and Early Matrix Theory | 34 |

Accuracy and Stability of Numerical Algorithms | 33 |

Stochastic Resonance in Vision: Models and Data | 33 |

Null-space preconditioners for saddle point problems | 32 |

A Catalogue of Software for Matrix Functions. Version 1.0 | 32 |

Functions of Matrices: Theory and Computation | 32 |

Algorithms for the Matrix Exponential and its Fr\'echet Derivative | 30 |

Interval Analysis in Matlab | 29 |

Restoring Definiteness via Shrinking, with an Application to Correlation Matrices with a Fixed Block | 28 |

Matrix Functions: A Short Course | 28 |

An Interview with Peter Lancaster | 28 |

A New Scaling and Squaring Algorithm for the Matrix Exponential | 27 |

Polynomial Eigenvalue Problems: Theory, Computation, and Structure | 27 |

Sylvester's Influence on Applied Mathematics | 27 |

Reaction and Diffusion on the Sierpinski Gasket | 26 |

Symplectic Amalgams | 26 |

Optimum Experimental Designs, With SAS | 25 |

Cholesky Factorization | 25 |

NLEVP: A Collection of Nonlinear Eigenvalue Problems | 24 |

Implementation of QR Updating Algorithms on the GPU | 23 |

The Steady Propagation of an Air Finger into a Rectangular Tube | 22 |

An optimal iterative solver for linear systems arising from SFEM approximation of diffusion equations with random coefficients | 22 |

A Preconditioned Newton Algorithm for the Nearest Correlation Matrix | 22 |

A Note on Computing Involution Centralizers | 21 |

An Algorithm for the Matrix Lambert W Function | 21 |

An Interview with Gene Golub | 21 |

Applications/Algorithms Roadmapping Activity. First Stage Final Report | 21 |

Computing the Polar Decomposition---with Applications | 20 |

A brief historical perspective of the Wiener-Hopf technique | 20 |

Computing a Nearest Correlation Matrix with Factor Structure | 20 |

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. | 20 |

A Note on Auto-tuning GEMM for GPUs | 20 |

Model category structures arising from Drinfeld vector bundles | 19 |

Functions of Matrices | 19 |

Computing Matrix Functions | 19 |

Notes on circulant matrices | 19 |

Automorphisms of finite soluble groups. Preliminary version | 19 |

An assessment of sustainable housing affordability using a multiple criteria decision making method | 18 |

A Survey of Componentwise Perturbation Theory | 18 |

Dave Broomhead's 60th Birthday | 18 |

MATLAB Toolbox for Classical Matrix Groups | 17 |

A modified Cholesky algorithm based on a symmetric indefinite factorization | 17 |

Max-Plus Singular Values | 17 |

Algorithms for Matrix Functions and their Frechet Derivatives and Condition Numbers | 16 |

Local Fusion Graphs for Sporadic Simple Groups | 16 |

Standard Triples of Structured Matrix Polynomials | 16 |

Hermitian Matrix Polynomials with Real Eigenvalues of Definite Type. Part I: Classification | 16 |

Computing $A^\alpha$, $\log(A)$ and Related Matrix Functions by Contour Integrals | 16 |

Topics in Information Geometry | 16 |

Computed eigenmodes of planar regions | 16 |

An Invitation to Toric Topology: Vertex Four of a Remarkable Tetrahedron. | 15 |

A sufficient condition for the existence of Hamiltonian bifurcations with continuous isotropy | 15 |

Growth-induced blisters in a circular tube | 15 |

Local Fusion Graphs of Finite Groups | 15 |

Roots of Stochastic Matrices and Fractional Matrix Powers | 15 |

The Canonical Generalized Polar Decomposition | 15 |

Taylor's Theorem for Matrix Functions with Applications to Condition Number Estimation | 15 |

THE MAXIMAL 2-LOCAL GEOMETRY FOR J4, II | 14 |

Recent Developments in Dense Numerical Linear Algebra | 14 |

Optimal liquidation in limit order books under general uncertainties | 14 |

Efficient order selection algorithms for integer valued ARMA processes | 14 |

Hénon map | 14 |

Structured Matrix Nearness Problems: Theory and Algorithms | 14 |

Embedding Nonlinear Dynamical Systems: A Guide to Takens' Theorem | 14 |

Workshop on Formal Methods for Aerospace (FMA) | 14 |

Reconstruction Algorithms for Permittivity and Conductivity Imaging | 14 |

Universal scaling of rotation intervals for quasi-periodically forced circle maps | 13 |

Magnetohydrodynamic convection in molten gallium | 13 |

Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow | 13 |

Strangely Dispersed Minimal Sets in the Quasiperiodically Forced Arnold Circle Map | 13 |

Towards Dense Linear Algebra for Hybrid GPU Accelerated Manycore Systems | 13 |

Algorithms and theory for polynomial eigenproblems | 13 |

Estimating the Condition Number of the Frechet Derivative of a Matrix Function | 13 |

A Study of Segregation in Granular Gravity Driven Free Surface Flows. | 13 |

An interview with Paul Van Dooren | 13 |

Numerical solution of the Navier-Stokes equations for the flow in a cylinder cascade | 13 |

Directions and equidistribution in homology for periodic orbits | 13 |

Growth Curve Models and Statistical Diagnostics | 13 |

Notes on lifting group actions | 13 |

Convergence Estimates of Krylov Subspace Methods for the Approximation of Matrix Functions Using Tools from Potential Theory | 12 |

A Schur--Parlett Algorithm for Computing Matrix Functions | 12 |

Investigation of Properties of Some Inference Processes | 12 |

Unstable modes of the Q1-P0 element | 12 |

Locally Finitely Presented Categories of Sheaves of Modules | 12 |

A novel Ocular Anaesthetic Scoring System, OASS, tool to measure both motor and sensory function following local anaesthesia | 12 |

An interview with Paul Van Dooren | 12 |

Reconstruction of Grounded Objects from Cauchy Data on a Plane | 12 |

Routes to Chaos | 12 |

Investigating the Performance of Asynchronous Jacobi's Method for Solving Systems of Linear Equations | 12 |

An Algorithm for the Complete Solution of Quadratic Eigenvalue Problems | 12 |

On Pi-Product Involution Graphs in Symmetric Groups | 11 |

On $p$th Roots of Stochastic Matrices | 11 |

The Maximal Subgroups of E_7(2) | 11 |

A Recursive Blocked Schur Algorithm for Computing the Matrix Square Root | 11 |

Local-global principle for the Baum-Connes conjecture with coefficients | 11 |

Electrodynamics of the atmosphere (in Russian) | 11 |

Computing the Frechet Derivative of the Matrix Logarithm and Estimating the Condition Number | 11 |

Estimating the Condition Number of the Frechet Derivative of a Matrix Function | 11 |

The Jeffery-Hamel similarity solution and its relation to flow in a diverging channel | 11 |

Two dimensional attractors in the border collision normal form | 11 |

Generalized rational Krylov decompositions with an application to rational approximation | 11 |

Solving a quadratic matrix equation by Newton's method with exact line searches | 11 |

Ranking the Importance of Nuclear Reactions for Activation and Transmutation Events | 11 |

Near-optimal perfectly matched layers for indefinite Helmholtz problems | 11 |

Matching Exponential-Based and Resolvent-Based Centrality Measures | 11 |

Adjoint and coadjoint orbits of the Euclidean group | 11 |

Uses and abuses of EIDORS: An extensible software base for EIT | 11 |

Symmetric Hamiltonian Bifurcations | 11 |

Image reconstruction in electrical impedance tomography | 11 |

Vector Spaces of Linearizations for Matrix Polynomials | 11 |

A Schanuel property for exponentially transcendental powers | 11 |

Predicting the pressure-volume curve of an elastic microsphere composite | 11 |

Multifractal Structure of Bernoulli Convolutions | 11 |

Deflating Quadratic Matrix Polynomials | 11 |

Efficient block preconditioning for a C1 finite element discretisation of the Dirichlet biharmonic problem | 11 |

Chebyshev rootfinding via computing eigenvalues of colleague matrices: when is it stable? | 10 |

EIT Reconstruction Algorithms for Respiratory Intensive Care | 10 |

Higher Order Frechet Derivatives of Matrix Functions and the Level-2 Condition Number | 10 |

New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously | 10 |

Sheaves as essentially algebraic objects | 10 |

Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm | 10 |

Noncommutative Fourier Analysis | 10 |

Improved error bounds for underdetermined system solvers | 10 |

Geometric Mechanics and Symmetry: The Peyresq Lectures | 10 |

The equivariant cohomology of weighted projective spaces | 10 |

IFISS: A computational laboratory for investigating incompressible flow problems | 10 |

Backward Stochastic Partial Differential Equations with Jumps and Application to Optimal Control of Random Jump Fields | 10 |

Chest Impedance Imaging Using Trigonometric Current Patterns | 10 |

Making big steps in trajectories | 10 |

Triangularizing matrix polynomials | 10 |

Preface to "An Introduction to Computational Stochastic PDEs" | 10 |

On spherical classes in $H_*QX$ | 9 |

The Complex Step Approximation to the Fréchet Derivative of a Matrix Function | 9 |

An Algorithm for the Complete Solution of Quadratic Eigenvalue Problems | 9 |

On the difference \pi(x) - li(x) | 9 |

Commuting Involution Graphs of Certain Finite Simple Classical Groups | 9 |

Efficient sparse matrix multiple-vector multiplication using a bitmapped format | 9 |

Improving the forward solver for the complete electrode model in EIT using algebraic multigrid | 9 |

Mutual information and capacity of a linear digital channel | 9 |

Stable and Efficient Spectral Divide and Conquer Algorithms for the Symmetric Eigenvalue Decomposition and the SVD | 9 |

Mathematical abilities and mathematical skills | 9 |

Graded Manifolds and Drinfeld Doubles for Lie Bialgebroids | 9 |

Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow | 9 |

Hermitian Quadratic Matrix Polynomials: Solvents and Inverse Problems | 9 |

Polynomial Zigzag Matrices, Dual Minimal Bases, and the Realization of Completely Singular Polynomials | 9 |

On $p$-soluble groups with a generalized $p$-central or powerful Sylow $p$-subgroup | 9 |

Algebraic Topology of PDEs | 9 |

The rational points of a definable set | 9 |

$J$-Orthogonal Matrices: Properties and Generation | 9 |

Perturbation of multiple eigenvalues of Hermitian matrices | 9 |

Sloshing and slamming oscillations in collapsible channel flow | 9 |

Investment Lags: A Numerical Approach | 9 |

Zolotarev quadrature rules and load balancing for the FEAST eigensolver | 9 |

The cumulant process and Esscher's change of measure | 9 |

Analysis of the Cholesky Method with Iterative Refinement for Solving the Symmetric Definite Generalized Eigenproblem | 9 |

Geometric structure in smooth dual and local Langlands conjecture | 9 |

Using human immunodeficiency virus type 1 sequences to infer historical features of the acquired immune deficiency syndrome epidemic and human immunodeficiency virus evolution | 9 |

A Framework for Analyzing Nonlinear Eigenproblems and Parametrized Linear Systems | 9 |

Scatter in an uncollimated x-ray CT machine based on a Geant4 Monte Carlo simulation | 9 |

Low-rank approximation and model reduction. | 9 |

On the stability of computing polynomial roots via confederate linearizations | 9 |

Statistical Analysis and Time Series Models for Minimum/Maximum Temperatures in the Antarctic Peninsula | 9 |

Multistability in the quasiperiodically forced circle map | 9 |

Learning to divide and conquer: applying the $L^*$ algorithm to automate assume-guarantee reasoning. | 9 |

Continuous-Time Revenue Management in Carparks | 9 |

On Spherical Classes in H*QSn | 8 |

On the stability of Hamiltonian relative equilibria with non-trivial isotropy | 8 |

New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously | 8 |

Model reduction of switched dynamical systems | 8 |

Numerical Linear Algebra Problems in Structural Analysis | 8 |

Finite and Infinite Elementary Divisors of Matrix Polynomials: A Global Approach | 8 |

Stable and Efficient Spectral Divide and Conquer Algorithms for the Symmetric Eigenvalue Decomposition and the SVD | 8 |

Optimal Scaling for Random walk Metropolis on spherically constrained target densities | 8 |

The Resource Valuation and Optimisation Model: Real Impact from Real Options | 8 |

Preconditioning steady-state Navier-Stokes equations with random data | 8 |

Investigating the Performance of Asynchronous Jacobi's Method for Solving Systems of Linear Equations | 8 |

Numerical Conditioning | 8 |

Detecting and Reducing Redundancy in Alarm Networks | 8 |

SELF-INTERSECTIONS OF IMMERSIONS AND STEENROD OPERATIONS | 8 |

NLEVP: A Collection of Nonlinear Eigenvalue Problems | 8 |

Optimal Staffing Policy: A Service System with Stochastic Travel Times | 8 |

Free convection in liquid gallium | 8 |

Rule Systems for Runtime Verification: A Short Tutorial | 8 |

An optimized and scalable eigensolver for sequences of eigenvalue problems | 8 |

Higher Order Frechet Derivatives of Matrix Functions and the Level-2 Condition Number | 8 |

SDELab: stochastic differential equations with MATLAB | 8 |

Border collision bifurcations, snap-back repellers and chaos | 8 |

High Speed Imaging of Dynamic Processes with a Switched Source X-ray CT System | 7 |

An Algorithm for the Matrix Lambert W Function | 7 |

THE MAXIMAL 2-LOCAL GEOMETRY FOR J4, I | 7 |

Structured pseudospectra for polynomial eigenvalue problems, with applications | 7 |

Energy norm a posteriori error estimation for parametric operator equations | 7 |

Quantum mushroom billiards | 7 |

Netlib and NA-Net: building a scientific computing community | 7 |

A collection of benchmark examples for model reduction of linear time invariant dynamical systems. | 7 |

Analysis of the Cholesky Decomposition of a Semi-definite Matrix | 7 |

Weighted projective spaces and iterated Thom spaces. | 7 |

Optimal Preconditioning for Mixed Finite Element Formulation of Second-Order Elliptic Problems | 7 |

Computing the Fréchet Derivative of the Matrix Exponential, with an application to Condition Number Estimation | 7 |

How chaotic are strange nonchaotic attractors? | 7 |

The Sensitivity of Computational Control Problems | 7 |

Approximating the logarithm of a matrix to specified accuracy | 7 |

A Schur--Pad\'e Algorithm for Fractional Powers of a Matrix | 7 |

Modelling acidosis and the cell cycle in multicellular tumour spheroids | 7 |

Optimal Scaling of Random Walk Metropolis algorithms with Discontinuous target densities | 7 |

Backward Error of Polynomial Eigenproblems Solved by Linearization | 7 |

Implementing QR Factorization Updating Algorithms on GPUs | 7 |

Efficient high-order rational integration and deferred correction with equispaced data | 7 |

Diffraction tomography of strain | 7 |

A truncated ILU smoother for multigrid preconditioning of convection dominated flow problems | 7 |

Solving log-transformed random diffusion problems by stochastic Galerkin mixed finite element methods | 7 |

A preconditioned MINRES method for nonsymmetric Toeplitz matrices | 7 |

Unsolved problems in group theory. The Kourovka notebook. No. 18 | 7 |

An inverse boundary value problem for harmonic differential forms | 7 |

Post processing for stochastic parabolic partial differential equations | 7 |

Matching Exponential-Based and Resolvent-Based Centrality Measures | 7 |

An Algorithm for the Complete Solution of Quadratic Eigenvalue Problems | 7 |

A high resolution scheme for Eulerian gas-solid two-phase isentropic flow | 7 |

Local Fusion Graphs for Symmetric Groups | 7 |

Total Variation Regularization in Electrical Impedance Tomography | 7 |

Aluminium foam data reconstruction using CGLS and TV Regularisation - 100 and 200 projection data. | 7 |

NLEIGS: A class of robust fully rational Krylov methods for nonlinear eigenvalue problems | 7 |

A Schanuel Property for Exponetially Transcendental Powers | 7 |

Multitype randomised Reed-Frost epidemics and epidemics upon random graphs | 7 |

Invariant Manifolds and Sets | 7 |

Hysteretic regime switching diffusions and resource extraction | 7 |

On group actions on free Lie algebras | 7 |

Error estimation and stabilization for low order finite elements | 6 |

Particle-size segregation and diffusive remixing in shallow granular avalanches | 6 |

The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential | 6 |

A Lemon is not a Monstar: visualization of singularities of symmetric second rank tensor fields in the plane. | 6 |

Estimating the Condition Number of f(A)b | 6 |

Adaptive Solvers for Elliptic and Parabolic Partial Differential Equations | 6 |

Standard Triples of Structured Matrix Polynomials | 6 |

Symplectic, BVD, and Palindromic Approaches to Discrete-Time Control Problems | 6 |

The Determination of a Dynamic Cut-Off Grade for the Mining Industry | 6 |

Linking Landscape Fires and Local Meteorology—A Short Review | 6 |

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

Cell Death: Linear Control Analysis of Eissing's Model | 6 |

Three-Dimensional Transient Electromagnetic Modeling Using Rational Krylov Methods | 6 |

An Improved Schur--Pade Algorithm for Fractional Powers of a Matrix and their Frechet Derivatives | 6 |

Some model theory of sheaves of modules | 6 |

Vector spaces of linearizations for matrix polynomials: a bivariate polynomial approach | 6 |

Longitudinal and Cross-Sectional Analysis of Cytotoxic T Lymphocyte (CTL) Responses and their Relationship to Vertical HIV Transmission | 6 |

Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm | 6 |

Fiedler Companion Linearizations and the Recovery of Minimal Indices | 6 |

On nonlinear viscoelastic deformations - a reappraisal of Fung's quasilinear viscoelastic model | 6 |

Modelling infection spread using location tracking | 6 |

Model Reduction of Second-Order Systems. | 6 |

Critical exponents for groups of isometries | 6 |

Perturbation theory for homogeneous polynomial eigenvalue problems | 6 |

Why does yeast ferment? A flux balance analysis study | 6 |

Periodic solutions of discrete Volterra equations | 6 |

Blocked Schur Algorithms for Computing the Matrix Square Root | 6 |

Fast iterative solvers for buoyancy driven flow problems | 6 |

Recursive Gramian and Hankel map approximation of large dynamical systems. | 6 |

Testing matrix function algorithms using identities | 6 |

Dimensionality Reduction for Dynamical Systems with Parameters | 6 |

Point vortices on the hyperboloid | 6 |

Structured Eigenvalue Condition Numbers | 6 |

Statistical cluster analysis and visualisation for alarm management configuration | 6 |

Solving the indefinite least squares problem by hyperbolic QR factorization | 6 |

The Hausdorff dimension of the projections of self-affine carpets | 6 |

Homogenization Methods to Approximate the Effective Response of Random Fibre-reinforced Composites | 6 |

One-sided indecomposable pure-injective modules over string algebras | 6 |

Classifying weighted projective spaces | 6 |

The reopening of a collapsed fluid-filled elastic tube | 6 |

PIFISS Potential (Incompressible) Flow & Iterative Solution Software guide | 6 |

The PlayStation 3 for High Performance Scientific Computing | 6 |

Stochastic Modeling of Gene Regulatory Networks | 6 |

Algorithms for Cholesky and QR Factorizations, and the Semidefinite Generalized Eigenvalue Problem | 6 |

Products of random Max-plus matrices | 6 |

Golden gaskets: variations on the Sierpinski sieve | 6 |

On the (Page)Ranking of Professional Tennis Players | 6 |

Matrix Computations in Basic on a Microcomputer | 6 |

Computing the Geodesic Interpolating Spline | 6 |

Lacunarity and Period-doubling | 6 |

Algorithms for Matrix Polynomials and Structured Matrix Problems | 6 |

The Effects of State Dependent and State Independent Probabilistic Updating on Boolean Network Dynamics | 5 |

Attractors near grazing-sliding bifurcations | 5 |

Toric Topology of Stasheff Polytopes | 5 |

Efficient and stable Arnoldi restarts for matrix functions based on quadrature | 5 |

Backward stability of iterations for computing the polar decomposition | 5 |

Duality of matrix pencils and linearizations | 5 |

The Scaling and Squaring Method for the Matrix Exponential Revisited | 5 |

Collective Reasoning under Uncertainty and Inconsistency | 5 |

The Solution of S exp(S) = A is Not Always the Lambert W Function of A | 5 |

On sheafification of modules | 5 |

The relation between local and global dual pairs | 5 |

Enzyme kinetics informatics: from instrument to browser | 5 |

NLEVP: A Collection of Nonlinear Eigenvalue Problems. Users' Guide | 5 |

FREE CENTRE-BY-(ABELIAN-BY-EXPONENT 2) GROUPS | 5 |

SophiaBeads Datasets Project Documentation and Tutorials | 5 |

Functions Preserving Matrix Groups and Iterations for the Matrix Square Root | 5 |

Reviving the Method of Particular Solutions | 5 |

Stability analysis of algorithms for solving confluent Vandermonde-like systems | 5 |

On the stability of Hamiltonian relative equilibria with non-trivial isotropy | 5 |

A GSVD formulation of a domain decomposition method for planar eigenvalue problems | 5 |

A Rational Krylov Toolbox for MATLAB | 5 |

The effect of noise on pitchfork and Hopf bifurcations | 5 |

Computing the Frechet Derivative of the Matrix Logarithm and Estimating the Condition Number | 5 |

Bubbles and crashes in a Black-Scholes model with delay | 5 |

Quantum mushroom billiards | 5 |

EST_MINRES: An Optimal Iterative Solver for Symmetric Indefinite Systems stemming from Mixed Approximation | 5 |

Shock waves, dead-zones and particle-free regions in rapid granular free surface flows | 5 |

Toric genera | 5 |

Phytoplankton biomass and residual nitrate in the pelagic ecosystem | 5 |

Numerical Modelling of Eulerian Two-Phase Gas-Solid Flow | 5 |

NLEVP: A Collection of Nonlinear Eigenvalue Problems | 5 |

Computing Matrix Functions | 5 |

Iterative Fault Tolerant Control Based on Stochastic Distribution | 5 |

Chebyshev rootfinding via computing eigenvalues of colleague matrices: when is it stable? | 5 |

Geometric structure in the tempered dual of the p-adic group SL(4) | 5 |

A systematic survey of the response of a model NF-κB signalling pathway to TNFα stimulation | 5 |

Phylogenetic Trees Predicted by an Irreversible Markov Process | 5 |

An overview of the milestones in development of the analytic number theory from antiquity to the present day (in Russian) | 5 |

Special transverse slices and their enveloping algebras | 5 |

Computing the Polar Decomposition and the Matrix Sign Decomposition in Matrix Groups | 5 |

Deflating Quadratic Matrix Polynomials with Structure Preserving Transformations | 5 |

An Iterative Method for Electrostatic Object Reconstruction in a Half Space | 5 |

A Survey of Condition Number Estimation for Triangular Matrices | 5 |

Geometric structure in the representation theory of p-adic groups II | 5 |

Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm | 5 |

Performance analysis of asynchronous Jacobi's method implemented in MPI, SHMEM and OpenMP | 5 |

A More Accurate Briggs Method for the Logarithm | 5 |

Large growth factors in Gaussian elimination with pivoting | 5 |

Algorithms for Hessenberg-Triangular Reduction of Fiedler Linearization of Matrix Polynomials | 5 |

Building a kinetic model of trehalose biosynthesis in Saccharomyces cerevisiae | 5 |

Scaling, Sensitivity and Stability in the Numerical Solution of Quadratic Eigenvalue Problems | 5 |

LAPACK-Style Codes for Pivoted Cholesky and QR Updating | 5 |

Geometric structure and the local Langlands conjecture | 5 |

An algebraic approach to time borrowing | 5 |

Language Invariance and Spectrum Exchangeability in Inductive Logic | 5 |

A Comparison of Multivariable & Decentralized Control Strategies for Robust Humanoid Walking | 5 |

Limitations of the PlayStation 3 for High Performance Cluster Computing | 5 |

The Mathematics of Motion Camouflage | 5 |

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

Dealing with stochastic reachability | 5 |

On the dimension of iterated sumsets | 5 |

Testing matrix function algorithms using identities | 5 |

Mutual information as a measure of image quality for 3D dynamic lung imaging with EIT | 5 |

Block preconditioners for linear systems arising from multilevel RBF collocation | 5 |

Bifurcation from stable fixed point to $N$-dimensional attractor in the border collision normal form | 5 |

Linearizations of Matrix Polynomials in Bernstein Basis | 5 |

Recent developments in the asymptotic theory of separated flows. Leverhulme lectures - lecture notes. | 4 |

Model reduction of second order systems | 4 |

Modular representations and finite W-algebras | 4 |

An Efficient Bound for the Condition Number of the Matrix Exponential | 4 |

Mobius Transformations of Matrix Polynomials | 4 |

Sensitivity matrix and reconstruction algorithm for EIT assuming axial uniformity | 4 |

Cayley, Sylvester, and Early Matrix Theory | 4 |

Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators | 4 |

Spin-up of homogeneous and stratified fluids | 4 |

Vortex dynamics on cylinders | 4 |

Tomographic reconstruction of stress from photoelastic measurements using elastic regularization. | 4 |

Efficient Algorithms for the Matrix Cosine and Sine | 4 |

Model theory of comodules | 4 |

Symplectic integrators and optimal control | 4 |

Nilpotent orbits in good characteristic and the Kempf-Rousseau theory | 4 |

Bordism classes represented by multiple point manifolds of immersed manifolds | 4 |

Snaking of multiple homoclinic orbits in reversible systems | 4 |

On Davis-Januszkiewicz homotopy types I; formality and rationalisation | 4 |

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

Model theory and modules | 4 |

Palindromic Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations | 4 |

Structured Mapping Problems for Matrices Associated with Scalar Products Part I: Lie and Jordan Algebras | 4 |

Finite-dimensional behaviour and observability in a randomly forced PDE | 4 |

Efficient and stable Arnoldi restarts for matrix functions based on quadrature | 4 |

Zolotarev quadrature rules and load balancing for the FEAST eigensolver | 4 |

Outer Boundary Conditions in Numerical Relativity | 4 |

Rank analysis of the anisotropic inverse conductivity problem | 4 |

Modelling of congenital nystagmus waveforms produced by saccadic system abnormalities | 4 |

Variations on a theme of Timmesfeld: a finite group-theoretic analogue of the classification of groups of finite Morley rank and even type | 4 |

Fast iterative solvers for buoyancy driven flow problems | 4 |

Linear and weakly nonlinear instability of a premixed curved flame under the influence of its spontaneous acoustic field. | 4 |

Preconditioning stochastic Galerkin saddle point systems | 4 |

Something from nothing: bridging the gap between constraint-based and kinetic modelling | 4 |

Evaluating Deformation Corrections in Electrical Impedance Tomography | 4 |

A Black-Box Multigrid Preconditioner for the Biharmonic Equation | 4 |

Mechanisms of intermittent state transitions in a coupled heterogeneous oscillator model of epilepsy | 4 |

O-minimal structures | 4 |

Skew-symmetric matrix polynomials and their Smith forms | 4 |

Symmetric Linearizations for Matrix Polynomials | 4 |

The Small World Network Structure of Boards of Directors | 4 |

Efficient Algorithms for Computing the Condition Number of a Tridiagonal Matrix | 4 |

CICADA Collection | 4 |

Providing Dependability and Performance in the Cloud: Case Studies | 4 |

Towards Co-Engineering Communicating Autonomous Cyber-physical Systems | 4 |

Affine Weyl groups and Langlands duality | 4 |

Twists of rational Cherednik algebras | 4 |

Characterising the shape and material properties of hidden targets from magnetic induction data | 4 |

External Examiners | 4 |

The Weak Euler Scheme for Stochastic Differential Delay Equations | 4 |

Blocking response surface designs | 4 |

A New Scaling and Squaring Algorithm for the Matrix Exponential | 4 |

A simple yet effective a posteriori estimator for classical mixed approximation of Stokes equations | 4 |

Structured Linearizations for Matrix Polynomials | 4 |

A short review on Landsberg spaces | 4 |

A Note on Binary Inductive Logic | 4 |

Second Order Structure Preserving Balanced Truncation. | 4 |

Fast Implicit Solvers using Stabilized Mixed Approximation | 4 |

Heights of characters in blocks | 4 |

Row-wise backward stable elimination methods for the equality constrained least squares problem | 4 |

Regularised GMRES-type Methods for X-Ray Computed Tomography | 4 |

Interactions among oscillatory pathways in NF-κB signalling | 4 |

The Ariel Project: A prospective cohort study of maternal-child transmission of human immunodeficiency virus type 1 in the era of maternal antiretroviral therapy | 4 |

Cache Efficient Bidiagonalization Using BLAS 2.5 Operators | 4 |

Singular value decomposition of multi-companion matrices | 4 |

Classifying projective modules over some semilocal rings | 4 |

Pure-injective modules | 4 |

Blocked Schur Algorithms for Computing the Matrix Square Root | 4 |

A Class of Parallel Tiled Linear Algebra Algorithms for Multicore Architectures | 4 |

When is a Hamiltonian matrix the commutator of two skew-Hamiltonian matrices? | 4 |

Electrical Impedance Tomography for high speed chest imaging | 4 |

Smith Forms of Palindromic Matrix Polynomials | 4 |

Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators | 4 |

A Schur-Newton Method for the Matrix p'th Root and its Inverse | 4 |

GREIT: towards a consensus EIT algorithm for lung images, | 4 |

Solving the Generalized Symmetric Eigenvalue Problem | 4 |

Electromagnetic inverse problems for nematic liquid crystals and capacitance imaging | 4 |

Performance Analysis of Asynchronous Parallel Jacobi | 4 |

The emergence of reasons conjecture | 4 |

Möbius Transformations of Matrix Polynomials | 4 |

Exit problems associated with affine reflection groups | 4 |

Relative equilibria of point vortices on the sphere | 4 |

The Weak Euler Scheme for Stochastic Differential Delay Equations | 4 |

The Generalized Singular Value Decomposition and the Method of Particular Solutions | 4 |

Some observations on weighted GMRES | 4 |

An algorithm for quadratic eigenproblems with low rank damping | 4 |

OCEAN CURRENT PREDICTION IN TOWED CABLE HYDRODYNAMICS UNDER DYNAMIC STEERING | 4 |

A block algorithm for matrix 1-norm estimation, with an application to 1-norm pseudospectra | 4 |

Recovery Patterns for Iterative Methods in a Parallel Unstable Environment | 4 |

L-packets and formal degrees for SL_2(K) with K a local function field of characteristic 2 | 4 |

Viscous linear stability analysis of rectangular duct and cavity flows | 4 |

On the volume of tubular neighborhoods of real algebraic varieties | 4 |

Fault Detection and Diagnosis for General Discrete-time Stochastic Systems Using Output Probability Density Estimation. | 3 |

Triangularizing Quadratic Matrix Polynomials | 3 |

A Survey of Numerical Aspects of Plane Rotations | 3 |

A Rational Krylov Toolbox for MATLAB | 3 |

Classification of symmetry groups for planar n-body choreographies | 3 |

A stochastic model for competing growth on Rd | 3 |

Improving metabolic flux predictions using absolute gene expression data | 3 |

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

A Lemon is not a Monstar: visualization of singularities of symmetric second rank tensor fields in the plane. | 3 |

Modelling human balance using switched systems with linear feedback control | 3 |

Diffraction tomography of strain | 3 |

Antiplane elastic wave cloaking using metamaterials, homogenization and hyperelasticity | 3 |

Computing the Frechet Derivative of the Matrix Logarithm and Estimating the Condition Number | 3 |

Stability of Relative Equilibria of Point Vortices on the Sphere | 3 |

Global structure of periodicity hubs in Lyapunov phase diagrams of dissipative flows | 3 |

Three-Dimensional Transient Electromagnetic Modeling Using Rational Krylov Methods | 3 |

Vector Spaces of Linearizations for Matrix Polynomials | 3 |

Experience with a Matrix Norm Estimator | 3 |

Homoclinic Snaking near a Heteroclinic Cycle in Reversible Systems | 3 |

The principal angles and the gap | 3 |

Unusual phenomena in an extreme bushfire | 3 |

A Frequency domain approach for the estimation of parameters of spatio-temporal stationary random processes | 3 |

Duality of matrix pencils and linearizations | 3 |

Block Preconditioners for Linear Systems Arising from Multiscale Collocation with Compactly Supported RBFs | 3 |

Three-Dimensional Transient Electromagnetic Modeling Using Rational Krylov Methods | 3 |

A priori error analysis of stochastic Galerkin mixed approximations of elliptic PDEs with random data | 3 |

Standard tableaux and Klyachko's Theorem on Lie representations | 3 |

Why are (the best) women so good at chess? Participation rates and gender differences in intellectual domains | 3 |

Implementing QR Factorization Updating Algorithms on GPUs | 3 |

The Problem with the Linpack Benchmark 1.0 Matrix Generator | 3 |

Bayesian data assimilation in shape registration | 3 |

A resolution of Stewartson's quarter-infinite plate problem | 3 |

Three-dimensional extensions to Jeffery–Hamel flow | 3 |

Detecting Juvenile Wood in Southern Pine Logs with Brush Electrodes | 3 |

A review of some recent work on hypercyclicity | 3 |

State transitions in a model of intermittent seizure dynamics | 3 |

Permutation groups of finite Morley rank | 3 |

On the Krohn-Rhodes complexity of semigroups of upper triangular matrices | 3 |

The Two Ball Newton's Cradle | 3 |

Linear groups of finite Morley rank | 3 |

On the condition numbers of a multiple eigenvalue of a generalized eigenvalue problem | 3 |

Semiparametric Mean-Covariance Regression Analysis for Longitudinal Data | 3 |

Elementary properties of minimal and maximal points in Zariski spectra | 3 |

Flame propagation in a nonuniform mixture: analysis of a slowly varying triple flame | 3 |

Kinetic modelling of large-scale metabolic networks | 3 |

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

Real option analysis in resilient energy networks | 3 |

Convergence of restarted Krylov subspace methods for Stieltjes functions of matrices | 3 |

Kinetic modelling of metabolic pathways: Application to serine biosynthesis | 3 |

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

Vector spaces of linearizations for matrix polynomials: a bivariate polynomial approach | 3 |

Review of Bridges from Classical to Nonmonotonic Logic by David Makinson | 3 |

Modelling evolvable component systems | 3 |

Invariant measures for the n-dimensional border collision normal form | 3 |

Gordon's inequality and condition numbers in conic optimization | 3 |

Algorithmic Based Fault Tolerance Applied to High Performance Computing | 3 |

Local entropy averages and projections of fractal measures | 3 |

A Schur-Newton Method for the Matrix p'th Root and its Inverse | 3 |

Infinitely divisible cylindrical measures on Banach spaces | 3 |

Real-Time imaging with a high speed X-Ray CT system | 3 |

Iterated Function System Models of Digital Channels | 3 |

Spatial interaction among nontoxic phytoplankton, toxic phytoplankton, and zooplankton:Emergence in space and time | 3 |

Two-heteroclinic orbits emerging in the reversible homoclinic pitchfork bifurcation | 3 |

Shape Deformation in Two-Dimensional Electrical Impedance Tomography | 3 |

Characterisation of multiple substrate-specific (d)ITP/(d)XTPase and modelling of deaminated purine nucleotide metabolism | 3 |

Efficient Solvers for a Linear Stochastic Galerkin Mixed Formulation of Diffusion Problems with Random Data | 3 |

How Elegant Code Evolves with Hardware: The Case of Gaussian Elimination | 3 |

On odd Laplace Operators II | 3 |

Cross-Subtype T-Cell Immune Responses Induced by a Human Immunodeficiency Virus Type 1 Group M Consensus Env Immunogen | 3 |

The problem of Anisotropy in Electrical Impedance Tomography | 3 |

Mineral Reserves under Price Uncertainty | 3 |

An Improved Schur--PadÃ© Algorithm for Fractional Powers of a Matrix and their FrÃ©chet Derivatives | 3 |

Functions of Matrices | 3 |

Improving metabolic flux predictions using absolute gene expression data | 3 |

A Framework for Analyzing Nonlinear Eigenproblems and Parametrized Linear Systems | 3 |

A New Scaling and Squaring Algorithm for the Matrix Exponential | 3 |

Characterisation of multiple substrate-specific (d)ITP/(d)XTPase and modelling of deaminated purine nucleotide metabolism | 3 |

Stability of the diagonal pivoting method with partial pivoting | 3 |

On $p$th Roots of Stochastic Matrices | 3 |

Nilpotent commuting varieties of reductive Lie algebras | 3 |

Codes for spread spectrum applications generated using chaotic dynamical systems | 3 |

Locally finite groups containing a $2$-element with Chernikov centralizer | 3 |

Tomographic reconstruction of stress from photoelastic measurements using elastic regularization. | 3 |

Boundary Shape and Electrical Impedance Tomography | 3 |

An Improved Schur--Pade Algorithm for Fractional Powers of a Matrix and their Frechet Derivatives | 3 |

Joint Longitudinal and Survival-cure Models with Constrained Parameters in Tumour Xenograft Experiments | 3 |

Unstructured finite element method for the solution of the Boussinesq problem in 3D | 3 |

Stability of learning dynamics in two-agent, imperfect-information games | 3 |

New relations in the algebra of the Baxter Q-operators | 3 |

Product Scheduling for Thermal Energy Reduction in Papermakig Industries | 3 |

Analysis of optimal liquidation in limit order books | 3 |

Fitting height of a finite group with a Frobenius group of automorphisms | 3 |

Group theoretic conditions for existence of robust relative homoclinic trajectories | 3 |

The exponential integrator scheme for stochastic partial differential equations: Pathwise error bounds | 3 |

Bifurcation from stable fixed point to two-dimensional attractor in the border collision normal form | 3 |

Fast polar decomposition of an arbitrary matrix | 3 |

Two efficient SVD/Krylov algorithms for model order reduction of large scale systems | 3 |

A Newton Algorithm for the Nearest Correlation Matrix | 3 |

D-optimal minimum support mixture designs in blocks | 3 |

On the local Langlands correspondence for non-tempered representations | 3 |

The representation theory of p-adic GL(n) and Deligne-Langlands parameters | 3 |

On the problem of stochastic integral representations of functionals of the Browian motion II | 3 |

Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems | 3 |

Surface tension-driven convection patterns in two liquid layers | 3 |

Grazing-sliding bifurcations, the border collision normal form, and the curse of dimensionality for nonsmooth bifurcation theory | 3 |

Mixed Precision Iterative Refinement Techniques for the Solution of Dense Linear Systems | 3 |

Benchmark examples for model reduction of linear time invariant dynamical systems. | 3 |

Geometric structure for Bernstein blocks | 3 |

Perfect isometries and the Alperin-McKay conjecture | 3 |

Hybrid intelligent parameter estimation based on grey case-based reasoning for laminar cooling process | 3 |

Microarray Data Analysis Using Probabilistic Methods | 3 |

Cryptographic Applications of Non-Commutative Algebraic Structures and Investigations of Nonlinear Recursions | 3 |

LAPACK-Style Codes for Pivoted Cholesky and QR Updating | 3 |

Strongly damped quadratic matrix polynomials | 3 |

Stability of a method for multiplying complex matrices with three real matrix multiplications | 3 |

A new bound for the smallest x with \pi(x) > \li(x) | 3 |

Noncommutative geometry: illustrations from the representation theory of GL(n) | 3 |

Scattering of sound wave by an infinite grating composed of rigid plates | 3 |

The noncommutative geometry of inner forms of p-adic special linear groups | 3 |

Gaussian Elimination | 3 |

State constrained reachability for stochastic hybrid systems | 3 |

Connectivity of Local Fusion Graphs for Finite Simple Groups | 3 |

Optimal regulatory control of early contract termination | 3 |

Multilevel communication optimal LU and QR factorizations for hierarchical platforms | 3 |

On the Bott periodicity, J-homomorphisms, and $H_*Q_0S^{-k}$ | 3 |

Ubiquity and uniqueness: everyday mathematics from a model-theoretic perspective | 3 |

Computing $A^\alpha$, $\log(A)$ and Related Matrix Functions by Contour Integrals | 3 |

Witten-Hodge theory for manifolds with boundary and equivariant cohomology | 3 |

Near-optimal perfectly matched layers for indefinite Helmholtz problems | 3 |

$\varepsilon$-constants and equivariant Arakelov-Euler characteristics | 3 |

Multiplicative structure of 2x2 tropical matrices | 3 |

On the length of finite groups and of fixed points | 3 |

IT in university level mathematics teaching and learning: a mathematician's point of view | 2 |

Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations | 2 |

Classification of symmetry groups for planar n-body choreographies | 2 |

Involutions in the Automorphism Groups of Small Sporadic Simple Groups | 2 |

Large deviation methods for stochastic reachability | 2 |

Mercator's projection, logarithm and seafaring | 2 |

Spin-up of stratified rotating flows at large Schmidt number: experiment and theory | 2 |

The evolution of finite-amplitude wavetrains in plane channel flow | 2 |

The finite Language for Computable Metric Spaces | 2 |

The Social Entropy Process: Axiomatising the Aggregation of Probabilistic Beliefs | 2 |

Eigenvalue perturbation bounds for Hermitian block tridiagonal matrices | 2 |

Covariance Structure Regularization via Entropy Loss Function | 2 |

A stochastic model for early placental development | 2 |

THE KO*-RINGS OF BTm, THE DAVIS-JANUSZKIEWICZ SPACES AND CERTAIN TORIC MANIFOLDS | 2 |

Strangely Dispersed Minimal Sets in the Quasiperiodically Forced Arnold Circle Map | 2 |

The Ehrlich--Aberth Method for the Nonsymmetric Tridiagonal Eigenvalue Problem | 2 |

Optimal Preconditioning for Raviart-Thomas Mixed Formulation of Second-Order Elliptic Problems | 2 |

From finite to infinite dimensional dynamical systems | 2 |

Didactic Transformation | 2 |

Computing the Frechet Derivative of the Matrix Logarithm and Estimating the Condition Number | 2 |

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

Stochastic Integration for Levy Processes with Values in Banach Spaces | 2 |

Prediction of regulatory networks: identification of transcription factor-target relationship from gene ontology information and gene expression data | 2 |

Analysis of the inverse problem for determining nematic liquid crystal director profiles from optical measurements using singular value decomposition. | 2 |

Performance predictions of multilevel communication optimal LU and QR factorizations on hierarchical platforms | 2 |

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

Transformations of measures via their generalized densities | 2 |

IFISS: A computational laboratory for investigating incompressible flow problems | 2 |

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

Technical report on backward stability of polynomial root-finding using Fiedler companion matrices | 2 |

Effective wave propagation in a prestressed nonlinear elastic composite bar | 2 |

Posets of matrices, and permutations with forbidden subsequences | 2 |

Almost Sure Relative Stability of the Overshoot of Power Law Boundaries | 2 |

Duality of matrix pencils and linearizations | 2 |

Minimal indices and minimal bases via filtrations | 2 |

Point Vortices on the Sphere: Stability of Symmetric Relative Equilibria | 2 |

Model-theoretic imaginaries and coherent sheaves | 2 |

Geometry of refractions and reflections through a biperiodic medium | 2 |

Flanders' theorem for many matrices under commutativity assumptions | 2 |

Computing $f(A)b$ for Matrix Functions $f$ | 2 |

Linearizations of Singular Matrix Polynomials and the Recovery of Minimal Indices | 2 |

Commentary on Selected Papers by Gene Golub on Matrix Factorizations and Applications | 2 |

Multiple attractors in grazing-sliding bifurcations in an explicit example of a Filippov type flow | 2 |

Lie powers and Witt vectors | 2 |

A class of noncommutative projective surfaces | 2 |

Analysis of Structured Polynomial Eigenvalue Problems | 2 |

Fiedler companion linearizations for rectangular matrix polynomials | 2 |

A review of some recent work on hypercyclicity | 2 |

Rational Cherednik algebras and Hilbert schemes | 2 |

Overshoots and undershoots of Lévy Processes | 2 |

Optimization by direct search in matrix computations | 2 |

Colimits, Stanley-Reisner algebras, and loop spaces | 2 |

L-packets and depth for SL_2(K) with K a local function field of characteristic 2 | 2 |

An Assessment of sustainable housing affordability using a multiple criteria decision making method | 2 |

A Note on Binary Inductive Logic | 2 |

Parameter-free H(div) preconditioning for mixed finite element formulation of diffusion problems | 2 |

Quasi-Monte Carlo estimation in generalized linear mixed models | 2 |

Log-majorization of the moduli of the eigenvalues of a matrix polynomial by tropical roots | 2 |

From Runtime Verification to Evolvable Systems | 2 |

Definite Matrix Polynomials and their Linearization by Definite Pencils | 2 |

Structured Mapping Problems for Matrices Associated with Scalar Products Part I: Lie and Jordan Algebras | 2 |

Estimating the Condition Number of f(A)b | 2 |

Kinetic modelling of metabolic pathways | 2 |

Smoothing non-smooth systems with low-pass filters | 2 |

Gramian based model reduction of switched dynamical systems | 2 |

Optimal Scaling for Random walk Metropolis on spherically constrained target densities | 2 |

Determining the absorption in anisotropic media | 2 |

A Study of the Matrix Exponential | 2 |

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

Quantum mushroom billiards | 2 |

Passage-time Computation and Aggregation Strategies for Large Semi-Markov Processes | 2 |

Viscous-inviscid interaction in a transonic flow caused by a discontinuity in wall curvature | 2 |

Relative Equilibria of Molecules | 2 |

Flandersâ theorem for many matrices under commutativity assumptions | 2 |

A theory for particle size segregation in shallow granular free-surface flows | 2 |

On LP-models of arithmetic | 2 |

Morse Theory for Invariant Functions and its Application to the n-Body Problem | 2 |

A consensus yeast metabolic network reconstruction obtained from a community approach to systems biology | 2 |

On Coprimality Graphs for Symmetric Groups | 2 |

A three-phase mixture theory for particle size segregation in shallow granular free-surface flows | 2 |

Convolutions of Cantor measures without resonance | 2 |

Kazhdan-Lusztig parameters and extended quotients | 2 |

Cylindrical Wiener processes | 2 |

Conjugate connections and differential equations on infinite dimensional manifolds | 2 |

Scaling, Sensitivity and Stability in the Numerical Solution of Quadratic Eigenvalue Problems | 2 |

Theoretical study of receptivity of a thin weakly non-parallel shock layer to acoustic disturbances (in Russian) | 2 |

Nonuniqueness in diffusion-based optical tomography | 2 |

Point vortices on the hyperbolic plane | 2 |

Structured Polynomial Eigenproblems Related to Time-Delay Systems | 2 |

Second order structures for sprays and connections on Fréchet manifolds | 2 |

The Conditioning of Linearizations of Matrix Polynomials | 2 |

NLEVP: A Collection of Nonlinear Eigenvalue Problems. Users' Guide | 2 |

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

Breaking size-segregation waves and particle recirculation in granular avalanches | 2 |

Granular flow in partially filled slowly rotating drums | 2 |

The nonsmooth pitchfork bifurcation | 2 |

Base change and K-theory for GL(n,R) | 2 |

Finite Elements and Anisotropic EIT reconstruction | 2 |

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

The homotopy type of the complement coordinate subspace arrangement | 2 |

Shape Deformation in Two-Dimensional Electrical Impedance Tomography | 2 |

About a homoclinic pitchfork bifurcation in reversible systems with additional Z2-symmetry | 2 |

On the Spectral Density Estimation of Periodically Correlated (Cyclostationary) Time Series | 2 |

Eye movement instabilities and nystagmus can be predicted by a nonlinear dynamics model of the saccadic system | 2 |

Loop Spaces and Choreographies in Dynamical Systems | 2 |

Topics in Dynamical Systems | 2 |

Forward and Inverse Problems in Towed Cable Hydrodynamics | 2 |

Localised Bombieri-Vinogradov theorems in imaginary quadratic fields | 2 |

Recovering Riemannian metrics in monotone families from boundary data | 2 |

Bar-like S-cone stimuli reveal the importance of an intermediate temporal filter | 2 |

Implementing QR Factorization Updating Algorithms on GPUs | 2 |

Reconstruction algorithm for the polarization tomography problem with incomplete data. | 2 |

The Polynomial Eigenvalue Problem | 2 |

LU FACTORIZATION WITH PANEL RANK REVEALING PIVOTING AND ITS COMMUNICATION AVOIDING VERSION | 2 |

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

Finite $p$-groups with a Frobenius group of automorphisms whose kernel is a cyclic $p$-group | 2 |

Stochastic production trees as products of i.i.d. componentwise exponential max-plus matrices | 2 |

Monodromy of certain Painlevé-VI transcendents and reflection groups | 2 |

Quotient spaces and critical points of invariant functions for C*-actions | 2 |

Ownership and Control: A Small-World Analysis | 2 |

On the positive region of \pi(x) - li(x) | 2 |

Parallel implementation of a symmetric eigensolver based on the Yau and Lu method | 2 |

H(div) Preconditioning for a Mixed Finite Element Formulation of the Stochastic Diffusion Problem | 2 |

Finite groups admitting a Frobenius group of automorphisms with fixed-point-free kernel | 2 |

Centralisers in the unit group of the Steenrod algebra | 2 |

Structured Eigenvalue Condition Numbers | 2 |

Multiplicities of Critical Points of Invariant Functions | 2 |

Recursive estimation and order determination of space-time autoregressive processes | 2 |

Unsteady turbulent plume models | 2 |

Reconstruction algorithm for the polarization tomography problem with incomplete data. | 2 |

Interpretation, coordination and conformity | 2 |

Nonparametric Regression of Covariance Structures in Longitudinal Studies | 2 |

Plancherel measure for GL(n,F) and GL(m,D): Explicit formulas and Bernstein decomposition | 2 |

Magnetic Fields in barred galaxies: II Dynamo models | 2 |

Simple FEMs aren’t as good as we thought: experiences developing EIDORS v3.3 | 2 |

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

A posteriori error bounds for discrete balanced truncation | 2 |

Perfect generalized characters inducing the Alperin-McKay conjecture | 2 |

Model-Updating for Symmetric Quadratic Eigenvalue Problems | 2 |

The steady propagation of a semi-infinite bubble into a tube of elliptical or rectangular cross-section | 2 |

Asymptotic matching constraints for a boundary-layer flow of a power-law fluid | 2 |

Depth and the local Langlands correspondence | 2 |

Some measures for asymmetry of distributions | 2 |

Continuous-Time Revenue Managment in Carparks - Part two: Refining the PDE | 2 |

Generalized Dirichlet to Neumann operator on invariant differential forms and equivariant cohomology | 2 |

Multivariate Non-Linear Regression with Applications: A Frequency Domain Approach | 2 |

Tube geometry can force switchlike transitions in the behavior of propagating bubbles | 2 |

A weak embedding property of probability measures on Lie groups | 2 |

Imperfect homoclinic bifurcations | 2 |

A note on the algebraic structure of conditionals | 2 |

LU FACTORIZATION WITH PANEL RANK REVEALING PIVOTING AND ITS COMMUNICATION AVOIDING VERSION | 2 |

Towards Computability over Effectively Enumerable Topological Spaces | 2 |

A Preconditioned Newton Algorithm for the Nearest Correlation Matrix | 2 |

Geometric structure in the representation theory of p-adic groups II | 2 |

Grothendieck Rings of Theories of Modules | 2 |

K-theory and the connection index | 2 |

A Schur-Newton Method for the Matrix p'th Root and its Inverse | 2 |

The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential | 2 |

Limit Behavior of the "Horizontal-Vertical" Random Walk and Some Extensions of the Donsker-Prokhorov Invariance Principle | 2 |

An Introduction to the Quality of Computed Solutions | 2 |

Delay reconstruction for multiprobe signals | 2 |

Maximising the Size of Non-Redundant Protein Datasets Using Graph Theory | 2 |

Dynamic Optimal Scheduling Method and Its Application for Converter Fault in Steelmaking and Continuous Casting Production Process | 2 |

Involutions in Fischerâs sporadic groups | 2 |

The n-valued groups: results and prospectives | 1 |

Covariance Structure Regularization via Entropy Loss Function | 1 |

Minimal indices and minimal bases via filtrations | 1 |

A Schur--Pad\'e Algorithm for Fractional Powers of a Matrix | 1 |

A class of noncommutative projective surfaces | 1 |

R-groups and geometric structure in the representation theory of SL(N) | 1 |

Theoretical analysis of acoustic instability of a hypersonic shock layer on a porous wall | 1 |

Coverage processes on spheres and condition numbers for linear programming | 1 |

Acceleration bundles on Banach and Fréchet manifolds | 1 |

Splitting for dissipative particle dynamics | 1 |

Delay embedding in the presence of dynamical noise | 1 |

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

The generating hypothesis in the derived category of a ring | 1 |

The Expected Lifetime of an Extraction Project | 1 |

Elongated S-cone stimuli reveal the importance of the intermediate temporal filter | 1 |

Differential formulations of Maxwell's equations in ansiotropic materials | 1 |

Unsteady flow in a rotating torus after a sudden change in rotation rate | 1 |

Analysis of a laminar premixed spray flame with modified Zeldovitch-Linan kinetics | 1 |

Scaling properties of coating flows in rectangular channels | 1 |

On commuting graphs for elements of order 3 in symmetric groups | 1 |

An incremental method for computing dominant singular subspaces | 1 |

The Hurewicz image of the $\eta_i$ family | 1 |

Homotopy Decompositions and K-theory of Bott Towers | 1 |

Topics in Matrix Computations: Stability and Efficiency of Algorithms | 1 |

Witten-Hodge theory for manifolds with boundary and equivariant cohomology | 1 |

Error Analysis of Diffusion Approximation Methods for Multiscale Systems in Reaction Kinetics | 1 |

A note on the least informative model of a theory | 1 |

Accretion disc dynamos opened up by external magnetic fields | 1 |

iGen 0.1: a program for the automated generation of models and parameterisations | 1 |

Maximising the Size of Non-Redundant Protein Datasets Using Graph Theory | 1 |

The hyperbolic Schur decomposition | 1 |

Natural hp-BEM for the electric field integral equation with singular solutions | 1 |

Some illustrations of information geometry in biology and physics | 1 |

Counterexamples to a rank analogue of the Shepherd--Leedham-Green--McKay theorem on finite $p$-groups of maximal class | 1 |

Structured Linearizations for Matrix Polynomials | 1 |

Stability of Structured Hamiltonian Eigensolvers | 1 |

Tumour glycolysis: the many faces of HIF | 1 |

On Reflecting Brownian Motion with Drift | 1 |

Torsional wave propagation in a pre-stressed hyperelastic annular circular cylinder | 1 |

The Irrelevant Information Principle for Collective Probabilistic Reasoning | 1 |

Sklyanin algebras and Hilbert schemes of points | 1 |

Integrable matrix equations related to pairs of compatible associative algebras | 1 |

Adaptive Finite Element Method Assisted by Stochastic Simulation of Chemical Systems | 1 |

Involutions in Janko's Simple Group J4 | 1 |

Black-Box Preconditioning for Self-Adjoint Elliptic PDEs | 1 |

Nonlinear magnetic diffusion and magnetic helicity transport in galactic dynamos | 1 |

iGen: The automated generation of a parameterisation of entrainment in marine stratocumulus | 1 |

Rule Systems for Run-time Monitoring: from EAGLE to RULER | 1 |

Computing combinatorial types of trajectories in Pfaffian Dynamics | 1 |

Structured Factorizations in Scalar Product Spaces | 1 |

Renormalization for the boundary of chaos in piecewise monotonic maps with a single discontinuity | 1 |

Some Issues in Dense Linear Algebra for Multicore and Special Purpose Architectures | 1 |

Robust Stabilized Stokes Approximation Methods for Highly Stretched Grids | 1 |

GPU-based solution of Continuous Time Markov Chains using CUSP | 1 |

Bounding the error in Gaussian elimination for tridiagonal systems | 1 |

Backward error analysis of the shift-and-invert Arnoldi algorithm | 1 |

Definite Matrix Polynomials and their Linearization by Definite Pencils | 1 |

Reducing the Influence of Tiny Normwise Relative Errors on Performance Profiles | 1 |

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

Structure sheaves of definable additive categories | 1 |

MCMC Methods for Functions: Modifying Old Algorithms to Make Them Faster | 1 |

Metabolic Pathway Modeling by Using the Nearest Neighbor Algorithm | 1 |

Magnetic fields in barred galaxies V. Modelling NGC 1365 | 1 |

iGen 0.1: the automated generation of a parameterisation of entrainment in marine stratocumulus | 1 |

Comparison of 3D Image Reconstruction Techniques using Real Electrical Impedance Measurement Data | 1 |

Generalized symmetric powers and a generalization of the Kolmogorov-Gel'fand-Buchstaber-Rees theory | 1 |

The Homotopy Exponent Problem For Certain Classes Of Polyhedral Products | 1 |

Model reduction of time-varying systems. | 1 |

Estimating Gramians of large-scale time-varying systems. | 1 |

Fast solvers for discretized Navier-Stokes problems using vector extrapolation | 1 |

Backward error and condition of structured linear systems | 1 |

Computing a Nearest Correlation Matrix with Factor Structure | 1 |

Numerical Relativity and Asymptotic Flatness | 1 |

Commuting Involution Graphs for 3-Dimensional Unitary Groups | 1 |

The influence of viscosity on the frozen wave stability: theory and experiment | 1 |

Triangularizing Quadratic Matrix Polynomials | 1 |

Global attractors of pinched skew products | 1 |

Coupled thermoelasticity in a composite half-space | 1 |

Variational data assimilation using targetted random walks | 1 |

Free centre-by-nilpotent-by-abelian Lie rings of rank 2 | 1 |

Visible parts of fractal percolation | 1 |

iGen: A program for the automated generation of models and parameterisations | 1 |

Geometric methods for anisotopic inverse boundary value problems. | 1 |

Symplectic group actions and covering spaces | 1 |

Tridiagonal-diagonal reduction of symmetric indefinite pairs | 1 |

Computing the Conditioning of the Components of a Linear Least Squares Solution | 1 |

The principal series of p-adic groups with disconnected centre | 1 |

Steep capillary-gravity waves in oscillatory shear-driven flows | 1 |

Solutions of affine stochastic functional differential equations in the state space | 1 |

Viscous-inviscid interaction in transonic Prandtl-Meyer flow | 1 |

Numerical Linear Algebra in Statistical Computing | 1 |

Geometric structure in the tempered dual of SL(N) | 1 |

First/second order transformation system. Tentative proof | 1 |

Oscillations in the NF-κB Signaling Pathway | 1 |

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

The path formulation of bifurcation theory | 1 |

Inverse problems in industry | 1 |

Endomorphisms of the Steenrod algebra and of its odd subalgebra | 1 |

Cayley, Sylvester, and Early Matrix Theory | 1 |

Geometric Brownian Motion with delay: mean square characterisation | 1 |

Stable topological transitivity properties of Rn-extensions of hyperbolic transformations | 1 |

Bifurcations of relative equilibria near zero momentum in Hamiltonian systems with spherical symmetry | 1 |

Rule Systems for Run-time Monitoring: from EAGLE to RULER | 1 |

A Schur--Pad\'e Algorithm for Fractional Powers of a Matrix | 1 |

The Continuing Influence of Fiedler's Work on Companion Matrices | 1 |

Stability of the partitioned inverse method for parallel solution of sparse triangular systems | 1 |

Pure-injectivity and model theory for G-sets | 1 |

Optimal scaling of generalized and polynomial eigenvalue problems | 1 |

Asymptotic matching constraints for a boundary-layer flow of a power-law fluid | 1 |

Commuting Involution Graphs for 4-Dimensional Projective Symplectic Groups | 1 |

Instabilities in supersonic compression ramp flow | 1 |

A Hyperbolic Augmented Elasto-Plastic Model for Pressure-Dependent Yield | 1 |

The Hooley-Huxley contour method for problems in number fields I : arithmetic functions | 1 |

On the Value of Optimal Stopping Games | 1 |

A generalized second order frame bundle for Fréchet manifolds | 1 |

Cylindrical Levy processes in Banach spaces | 1 |

Local presentability of categories of sheaves of modules | 1 |

Existence of symmetric central configurations | 1 |

HydraMP: Exploiting shared memory parallelism in HYDRA with OpenMP | 1 |

Triangularizing Quadratic Matrix Polynomials | 1 |

Geometric structure in the principal series of the p-adic group G_2 | 1 |

K-theory and the connection index | 1 |

Model theory for algebra | 1 |

Frobenius groups of automorphisms and their fixed points | 1 |

Remarks on $\Sigma$-definability without the equality test over the Reals | 1 |

Matrix powers in finite precision arithmetic | 1 |

Hankel Determinant Structure of the Rational Solutions for Fifth PainlevÃ© Equation | 1 |

Milnor attractors and topological attractors of a piecewise linear map | 1 |

Witten-Hodge theory for manifolds with boundary | 1 |

Iterative Solution of a Nonsymmetric Algebraic Riccati Equation | 1 |

Variable Selection for Joint Mean and Covariance Models via Penalized Likelihood | 1 |

The structure of blocks with a Klein four defect group | 1 |

A Grammatical Representation of Visibly Pushdown Languages | 1 |

Some recent work in Frechet geometry | 1 |

A simple yet effective a posteriori estimator for classical mixed approximation of Stokes equations | 1 |

Openness of momentum maps and persistence of extremal relative equilibria | 1 |

The Hooley-Huxley contour method for problems in number fields III: Frobenian functions | 1 |

Chamber graphs of some geometries related to the Petersen graph | 1 |

An inhomogeneous stochastic rate process for evolution from states in an information geometric neighbourhood of uniform fitness | 1 |

Generation of anisotropic-smoothness regularization filters for EIT | 1 |

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

The Complex Step Approximation to the Fréchet Derivative of a Matrix Function | 1 |

K-theory and the connection index | 1 |

Stability of parallel triangular system solvers | 1 |

Ranking the Importance of Boards of Directors | 1 |

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

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

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

Continua of states in boundary-layer flows | 1 |

Forays into Sequential Composition and Concatenation in EAGLE | 1 |

Dynamics of laminar triple-flamelet structures in non-premixed turbulent combustion | 1 |

Shape corrections for 3D EIT | 1 |

Bundles of acceleration on Banach manifolds | 1 |

Latent Roots and Latent Vectors | 1 |

The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential | 1 |

Curve Crossing for the Reflected Process | 1 |

Tail behavior of the generalized Maxwell distribution | 1 |

Tropical roots as approximations to eigenvalues of matrix polynomials | 1 |

Symmetric Linearizations for Matrix Polynomials | 1 |

Bifurcation and forced symmetry breaking in Hamiltonian systems | 1 |

Analysis of the early stage of thermal runaway | 1 |

On the spatial development of a dusty wall jet | 1 |

Regulating Industries under Exogenous Uncertainty | 1 |

Stochastic and Deterministic Analysis of SIS Household Epidemics | 1 |

Universal connection and curvature for statistical manifold geometry | 1 |

Mine Valuation in the Presence of a Stochastic Ore-Grade Uncertainty | 1 |

The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential | 1 |

Optimal scaling for partially updating MCMC algorithms | 1 |

Triangularizing Quadratic Matrix Polynomials | 1 |

K-theory and limit-of-discrete-series for the universal cover of SL_2(R) | 1 |

Inexact Sparse Matrix-Vector Products in the Calculation of Passage Time Distributions in Large Semi-Markov Models | 1 |

Adaptive time-stepping for incompressible flow. Part I: scalar advection-diffusion | 1 |

Some local definability theory for holomorphic functions | 1 |

Complex cobordism classes of homogeneous spaces | 1 |

Linear methods in the study of automorphisms | 1 |

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

Finite and Infinite Elementary Divisors of Matrix Polynomials: A Global Approach | 1 |

A fast algorithm for spectral interpolation of sampled data | 1 |

The Canonical Generalized Polar Decomposition | 1 |

Depth and the local Langlands correspondence | 1 |

dqds with aggressive early deflation | 1 |

Steady finite-Reynolds-number flows in three-dimensional collapsible tubes | 1 |

Metric matroids and metric buildings | 1 |

Universal connection and curvature for statistical manifold geometry | 1 |

Employing pre-stress to generate finite cloaks for antiplane elastic waves | 1 |

The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential | 1 |

Gerschgorin's theorem for generalized eigenvalue problems in the Euclidean metric | 1 |

Integer-valued definable functions | 1 |

Near-optimal perfectly matched layers for indefinite Helmholtz problems | 1 |

GPU-enabled steady-state solution of large Markov models | 1 |

Evolutionary Inference for Functional Data: Using Gaussian Processes on Phylogenies to Study Shape Evolution | 1 |

Reduction groups and automorphic Lie algebras | 1 |

The Zariski spectrum of the category of finitely presented modules | 1 |

Functions of Matrices | 1 |

An Improved Arc Algorithm for Detecting Definite Hermitian Pairs | 1 |

The dimension of weakly mean porous measures: a probabilistic approach | 1 |

A spatially adaptive iterative method for a class of nonlinear operator eigenproblems | 1 |

Black box, white arrow | 1 |

FUNM_QUAD: An implementation of a stable quadrature-based restarted Arnoldi method for matrix functions | 1 |

A measure of the information content of EIT data | 1 |

Universal connection and curvature for statistical manifold geometry | 1 |

Granular Vacua | 1 |

Conjugate p-elements of Full Support that Generate the Wreath Product Cp wr Cp | 1 |

Anomalous bubble propagation in elastic tubes | 1 |

Symmetric Hamiltonian Bifurcations | 1 |

Collective Choice as Information Theory: Towards a Theory of Gravitas | 1 |

Using Mixed Precision for Sparse Matrix Computations to Enhance the Performance while Achieving 64-bit Accuracy | 1 |

The Solution of S exp(S) = A is Not Always the Lambert W Function of A | 1 |

A new approach for MOR of second order Dynamical Systems | 1 |

Solving Systems of Linear Equations on the CELL Processor Using Cholesky Factorization | 1 |

On symmetric invariants of centralisers in reductive Lie algebras | 1 |

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

Smoothing non-smooth systems with low-pass filters | 1 |

Neighbourhoods of independence and associated geometry in manifolds of bivariate Gaussians and Freund distributions | 1 |

Ranking the Importance of Boards of Directors | 1 |

New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously | 1 |

The hyperbolic Schur decomposition | 1 |

Definable additive categories: purity and model theory | 1 |

Tropical roots as approximations to eigenvalues of matrix polynomials | 1 |

Testing matrix function algorithms using identities | 1 |

Conjugacy problem in HNN-extensions: regular elements and black holes | 1 |

Newton's Method in Floating Point Arithmetic and Iterative Refinement of Generalized Eigenvalue Problems | 1 |

On the Definition of Two Natural Classes of Scalar Product | 1 |

Recursive calculation of dominant singular subspaces. | 1 |

Time-dependent solutions for particle size segregation in shallow granular avalanches | 1 |

High-frequency self-excited oscillations in a collapsible-channel flow | 1 |

Nonlinear thoughts about linear signal processing | 1 |

Dimensionality reduction for classification of stochastic fibre radiographs | 1 |

Spectral equivalence of matrix polynomials and the index sum theorem | 1 |

Neighbourhoods of independence and associated geometry | 1 |

Orbits on k-subsets of 2-transitive Simple Lie-type Groups | 1 |

The border collision normal form with stochastic switching surface | 1 |

Rational values of Weierstrass zeta functions | 1 |

Automorphisms of finite $p$-groups admitting a partition | 1 |

Mathematical modelling of tumour acidity | 1 |

Emergence of hierarchical networks and polysynchronous behaviour in simple adaptive systems | 1 |

The accumulation of boundary doubling for modified tent maps | 1 |

Bifurcations of Snap-back Repellers with application to Border-Collision Bifurcations | 1 |

A spatially adaptive iterative method for a class of nonlinear operator eigenproblems | 1 |

Covariance Structure Regularization via Entropy Loss Function | 1 |

Jordan Structures of Alternating Matrix Polynomials | 1 |

The Hinfinity-norm calculation for large sparse systems. | 1 |

Flow in Collapsible Tubes and Past Other Highly Compliant Boundaries | 1 |

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

Free centre-by-metabelian Lie rings | 1 |

Infinite dimensional second order differential equations via $T^2M$ | 1 |

Completions of the Goldschmidt G3-amalgam and Alternating Groups | 1 |

Families of piecewise linear maps with constant Lyapunov exponent | 1 |

Minimum Entropy Approach For Robot Manipulator | 1 |

oomph-lib — An Object-Oriented Multi-Physics Finite-Element Library | 1 |

Definable additive categories: purity and model theory | 1 |

Isomorphism classes for Banach vector bundle structures of second tangents | 1 |

Design of experiments in the presence of errors in factor levels | 1 |

Covariance Structure Regularization via Entropy Loss Function | 1 |

Smoothing non-smooth systems with the moving average transformation | 1 |

Recursive low rank Hankel approximation and model reduction. | 1 |

Migration and proliferation dichotomy in tumor cell invasion | 1 |

ON THE DIMENSION OF PRODUCTS OF HOMOGENEOUS SUBSPACES IN FREE LIE ALGEBRAS | 1 |

On the onset of oscillatory convection in molten gallium | 1 |

Involutions in groups of finite Morley rank degenerate type | 1 |

Adversarial Smoothed Analysis | 1 |

Pseudo completions and completions in stages of o-minimal structures | 1 |

Special Issue: Formal Methods in Aerospace | 1 |

Infinite dimensional second order differential equations via $T^2M$ | 1 |

Midplane-symmetry breaking in the flow between two counter-rotating disks | 1 |

Multiobjective Meta-Heuristic Product Scheduling for Multi-Machine Manufacturing Systems | 1 |

Algorithmic Properties of Sigma--definability over Positive Predicate Structures | 1 |

The local Langlands correspondence for inner forms of SL_n | 1 |

Artin-Schreier Theory and L-packets in the principal series of SL_2(F_2((x))) | 1 |