Inexact Inverse Iteration with Variable Shift for Nonsymmetric Generalized Eigenvalue Problems
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Publication:5422461
DOI10.1137/050623255zbMath1134.65025OpenAlexW2147303144MaRDI QIDQ5422461
Alastair Spence, Jörg Berns-Müller
Publication date: 22 October 2007
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/5e49f682e2b9ac0221181c7dec9b4e1828fd13d4
convergencenumerical examplesRayleigh quotientinverse iterationinner-outer iterative algorithmnon-symmetric generalised eigenvalue problem
Related Items (12)
Convergence of inexact inverse iteration with application to preconditioned iterative solvers ⋮ Local convergence analysis of several inexact Newton-type algorithms for general nonlinear eigenvalue problems ⋮ On multistep Rayleigh quotient iterations for Hermitian eigenvalue problems ⋮ On convergence of the inexact Rayleigh quotient iteration with MINRES ⋮ On convergence of the inexact Rayleigh quotient iteration with the Lanczos method used for solving linear systems ⋮ Convergence and preconditioning of inexact inverse subspace iteration for generalized eigenvalue problems ⋮ Rayleigh quotient iteration and simplified Jacobi-Davidson method with preconditioned iterative solves ⋮ Fast inexact subspace iteration for generalized eigenvalue problems with spectral transformation ⋮ Automatic spectral collocation for integral, integro-differential, and integrally reformulated differential equations ⋮ Computing eigenpairs of Hermitian matrices in augmented Krylov subspace produced by Rayleigh quotient iterations ⋮ A convergence analysis of the inexact Rayleigh quotient iteration and simplified Jacobi-Davidson method for the large Hermitian matrix eigenproblem ⋮ Inexact inverse subspace iteration with preconditioning applied to quadratic matrix polynomials
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