Recursion relations for the extended Krylov subspace method
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Publication:630517
DOI10.1016/j.laa.2010.08.042zbMath1211.65039OpenAlexW2050996067MaRDI QIDQ630517
Publication date: 17 March 2011
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2010.08.042
numerical examplesextended Krylov subspace methodrecursion relationmatrix function evaluationorthogonal Laurent polynomialrational Gauss quadraturerational Lanczos methods
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Related Items (23)
On some extended block Krylov based methods for large scale nonsymmetric Stein matrix equations ⋮ 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 ⋮ The extended block Arnoldi method for solving generalized differential Sylvester equations ⋮ 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 ⋮ Gauss-Laurent-type quadrature rules for the approximation of functionals of a nonsymmetric matrix ⋮ Rational Gauss quadrature rules for the approximation of matrix functionals involving Stieltjes functions ⋮ A rational Arnoldi process with applications ⋮ The extended global Lanczos method, Gauss-Radau quadrature, and matrix function approximation ⋮ Recurrence relations for orthogonal rational functions ⋮ 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 ⋮ Biorthogonal rational Krylov subspace methods ⋮ Global extended Krylov subspace methods for large-scale differential Sylvester matrix equations ⋮ Low-Rank Updates of Matrix Functions II: Rational Krylov Methods ⋮ 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 ⋮ Generalized Rational Krylov Decompositions with an Application to Rational Approximation
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