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Error Estimates and Evaluation of Matrix Functions via the Faber Transform
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Outgoing claims: the papers this work cites, builds on, or argues with.
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Krylov subspace approximation of eigenpairs and matrix functions in exact and computer arithmetic
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Rational Lanczos approximations to the matrix square root and related functions
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A new investigation of the extended Krylov subspace method for matrix function evaluations
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The Asymptotic Distribution of Zeros of Minimal Blaschke Products
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Iterative Methods for Solving Linear Systems
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Computing f(A)b for Matrix Functions f
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Lectures on Complex Approximation
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Logarithmic Potentials with External Fields
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Konforme Abbildung und Fekete-Punkte
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On faber polynomials and faber expansions
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Isomorphisms of the disc algebra and inverse faber sets
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5.6. Rational approximation of analytic functions
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Rational approximation of Stieltjes functions by the Carathéodory-Fejér method
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Newton interpolation at Leja points
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Computing with the faber transform
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Some estimates for analytic functions of strip or sectorial operators
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Operators with numerical range in a parabola
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Convex domains and K-spectral sets
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Iterative exponential filtering for large discrete ill-posed problems
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Multipoint Padé-Type Approximants. Exact Rate of Convergence
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Algorithms for the matrix pth root
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Efficient algorithms for the matrix cosine and sine
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Rational Krylov sequence methods for eigenvalue computation
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Fields of values and iterative methods
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Accurate conjugate gradient methods for families of shifted systems
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Padé and Gregory error estimates for the logarithm of block triangular matrices
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Image numérique, GMRES et polynômes de Faber
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Numerical approximation of the product of the square root of a matrix with a vector
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Two polynomial methods of calculating functions of symmetric matrices
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An interpolatory approximation of the matrix exponential based on Faber polynomials
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General Orthogonal Polynomials
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Lanczos-Based Exponential Filtering for Discrete Ill-Posed Problems
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Theory of Functions of a Complex Variable
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FUNDAMENTAL PROPERTIES OF FABER POLYNOMIALS
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ESTIMATES OF THE SINGULAR NUMBERS OF THE CARLESON IMBEDDING OPERATOR
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Faber Polynomials and the Faber Series
inferredcites →https://doi.org/10.1080/00207178908953392openalex-snapshot
Padé error estimates for the logarithm of a matrix
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A functional calculus based on the numerical range: applications
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Interpolation and Approximation by Rational Functions in the Complex Domain
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Elements of the Theory of Elliptic Functions
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Rational approximation of analytic functions
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Preconditioning Lanczos Approximations to the Matrix Exponential
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Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
inferredcites →https://doi.org/10.1137/0720069openalex-snapshot
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inferredcites →https://doi.org/10.1137/0729014openalex-snapshot
Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
inferredcites →https://doi.org/10.1137/080742403openalex-snapshot
Solution of Large Scale Evolutionary Problems Using Rational Krylov Subspaces with Optimized Shifts
inferredcites →https://doi.org/10.1137/0907058openalex-snapshot
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
inferredcites →https://doi.org/10.1137/0913071openalex-snapshot
Efficient Solution of Parabolic Equations by Krylov Approximation Methods
inferredcites →https://doi.org/10.1137/1.9780898718003openalex-snapshot
Iterative Methods for Sparse Linear Systems
inferredcites →https://doi.org/10.1137/1020098openalex-snapshot
Nineteen Dubious Ways to Compute the Exponential of a Matrix
inferredcites →https://doi.org/10.1137/s0036142995280572openalex-snapshot
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inferredcites →https://doi.org/10.1137/s00361445024180openalex-snapshot
Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
inferredcites →https://doi.org/10.1137/s0895479800368688openalex-snapshot
Evaluating Padé Approximants of the Matrix Logarithm
inferredcites →https://doi.org/10.1137/s0895479895292400openalex-snapshot
Extended Krylov Subspaces: Approximation of the Matrix Square Root and Related Functions
inferredcites →https://doi.org/10.1137/s0895479897324020openalex-snapshot
The Kreiss Matrix Theorem on a General Complex Domain
inferredcites →https://doi.org/10.1137/s1064827595285597openalex-snapshot
Rational Krylov: A Practical Algorithm for Large Sparse Nonsymmetric Matrix Pencils
inferredcites →https://doi.org/10.1515/9783110857658.101openalex-snapshot
Solution of shifted linear systems by quasi-minimal residual iterations
inferredcites →https://doi.org/10.2307/2005805openalex-snapshot
Applied and Computational Complex Analysis
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Generalization of von Neumann's spectral sets and integral representation of operators
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Sur certaines suites liées aux ensembles plans et leur application à la représentation conforme
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An introduction to complex analysis
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Spectral Sets: Numerical Range and Beyond
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Bounds on the Singular Values of Matrices with Displacement Structure
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Block Krylov Subspace Methods for Functions of Matrices II: Modified Block FOM
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Arnoldi Algorithms with Structured Orthogonalization
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A Comparison of Limited-memory Krylov Methods for Stieltjes Functions of Hermitian Matrices
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Low-Rank Updates of Matrix Functions II: Rational Krylov Methods
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Analysis of Probing Techniques for Sparse Approximation and Trace Estimation of Decaying Matrix Functions
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Residual and Restarting in Krylov Subspace Evaluation of the $\varphi$ Function
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The Short-Term Rational Lanczos Method and Applications
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Krylov Subspace Residual and Restarting for Certain Second Order Differential Equations
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An Efficient Block Rational Krylov Solver for Sylvester Equations with Adaptive Pole Selection
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Sensitivity of Matrix Function Based Network Communicability Measures: Computational Methods and A Priori Bounds
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Adaptive Rational Krylov Methods for Exponential Runge–Kutta Integrators
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Computing Functions of Symmetric Hierarchically Semiseparable Matrices
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A Low-Memory Lanczos Method with Rational Krylov Compression for Matrix Functions
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Near Instance Optimality of the Lanczos Method for Stieltjes and Related Matrix Functions
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Solution of 3D time-domain electromagnetic problems using optimal subspace projection
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Analysis of Krylov subspace approximation to large-scale differential Riccati equations
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Preconditioning the Helmholtz equation with the shifted Laplacian and Faber polynomials
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Decay bounds for Bernstein functions of Hermitian matrices with applications to the fractional graph Laplacian
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Inexact rational Krylov subspace methods for approximating the action of functions of matrices
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Domain truncation, absorbing boundary conditions, Schur complements, and Padé approximation
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Polynomial preconditioning for the action of the matrix square root and inverse square root
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Krylov and rational Krylov methods of numerical solution of some problems of computational geophysics
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Adaptive residual-time restarting for Krylov subspace matrix exponential evaluations
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Shift-invert rational Krylov method for evolution equations
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A Flexible Extended Krylov Subspace Method for Approximating Markov Functions of Matrices
inferred← citeshttps://doi.org/10.3390/math13193145openalex-snapshot
Generalized Averaged Gauss Quadrature Rules: A Survey
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A rational Arnoldi approach for ill-conditioned linear systems
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Preconditioning linear systems via matrix function evaluation
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Using the RD rational Arnoldi method for exponential integrators
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Decay properties for functions of matrices over $C^*$-algebras
inferred← citeshttps://doi.org/10.48550/arxiv.1501.01812openalex-snapshot
On conformal maps from multiply connected domains onto lemniscatic domains
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Approximation of functions of large matrices with Kronecker structure
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Low-rank updates of matrix functions
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The global extended-rational Arnoldi method for matrix function approximation
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On the rational approximation of Markov functions,with applications to the computation of Markovfunctions of Toeplitz matrices
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An estimate of approximation of an analytic function of a matrix by a rational function
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Rational Krylov subspace methods for phi-functions in exponential integrators
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Sur l’optimalité de l’inégalité de Bernstein-Walsh à poids et ses applications aux méthodes de Krylov
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