The extended Krylov subspace method and orthogonal Laurent polynomials
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Publication:1025864
DOI10.1016/j.laa.2009.03.006zbMath1166.65019OpenAlexW1968044527MaRDI QIDQ1025864
Publication date: 23 June 2009
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2009.03.006
algorithmnumerical examplesLaurent polynomialsKrylov subspace methodmatrix functionrational Krylov methodlarge sparse matrixextended Lanczos processstructured symmetric matrix
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Related Items (24)
Probabilistic Bounds for the Matrix Condition Number with Extended Lanczos Bidiagonalization ⋮ Monotone convergence of the extended Krylov subspace method for Laplace-Stieltjes functions of Hermitian positive definite matrices ⋮ An extended Krylov subspace model-order reduction technique to simulate wave propagation in unbounded domains ⋮ The structure of matrices in rational Gauss quadrature ⋮ A two-sided short-recurrence extended Krylov subspace method for nonsymmetric matrices and its relation to rational moment matching ⋮ Computationally enhanced projection methods for symmetric Sylvester and Lyapunov matrix equations ⋮ The extended global Lanczos method, Gauss-Radau quadrature, and matrix function approximation ⋮ Massively parallel implementation and approaches to simulate quantum dynamics using Krylov subspace techniques ⋮ Recurrence relations for orthogonal rational functions ⋮ Recursion relations for the extended Krylov subspace method ⋮ Computing the Weighted Geometric Mean of Two Large-Scale Matrices and Its Inverse Times a Vector ⋮ Convergence analysis of the extended Krylov subspace method for the Lyapunov equation ⋮ The extended global Lanczos method for matrix function approximation ⋮ Retracing the residual curve of a Lyapunov equation solver ⋮ Short recurrences for computing extended Krylov bases for Hermitian and unitary matrices ⋮ A Comparison of Limited-memory Krylov Methods for Stieltjes Functions of Hermitian Matrices ⋮ Convergence rates for inverse-free rational approximation of matrix functions ⋮ Extended and rational Hessenberg methods for the evaluation of matrix functions ⋮ Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces ⋮ Extended Krylov subspace for parameter dependent systems ⋮ Functions of rational Krylov space matrices and their decay properties ⋮ The extended symmetric block Lanczos method for matrix-valued Gauss-type quadrature rules ⋮ Rational Krylov approximation of matrix functions: Numerical methods and optimal pole selection ⋮ On the computation of Gauss quadrature rules for measures with a monomial denominator
Uses Software
Cites Work
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