Convergence theory for inexact inverse iteration applied to the generalised nonsymmetric eigenproblem

zbMath1171.65025MaRDI QIDQ836708

Melina A. Freitag, Alastair Spence

Publication date: 8 September 2009

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/130621

zbMATH Keywords

convergencenumerical exampleseigenvectordielectric waveguideinexact inverse iterationlarge sparse generalised eigenproblemlinearised Navier-Stokes equationsnonsymmetric generalised eigenproblemnuclear reactor stability

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (15)

An efficient, memory-saving approach for the Loewner framework ⋮ GMRES convergence bounds for eigenvalue problems ⋮ A convergence analysis of the inexact simplified Jacobi-Davidson algorithm for polynomial eigenvalue problems ⋮ Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration ⋮ Local convergence analysis of several inexact Newton-type algorithms for general nonlinear eigenvalue problems ⋮ Preconditioners for Krylov subspace methods: An overview ⋮ On multistep Rayleigh quotient iterations for Hermitian eigenvalue problems ⋮ On convergence of the inexact Rayleigh quotient iteration with the Lanczos method used for solving linear systems ⋮ Inexact methods for the low rank solution to large scale Lyapunov equations ⋮ Convergence and preconditioning of inexact inverse subspace iteration for generalized eigenvalue problems ⋮ Fast eigenvalue calculations in a massively parallel plasma turbulence code ⋮ Analysis of the instabilities induced by an isolated roughness element in a laminar high-speed boundary layer ⋮ Computing eigenpairs of Hermitian matrices in augmented Krylov subspace produced by Rayleigh quotient iterations ⋮ A parallel implementation of Davidson methods for large-scale eigenvalue problems in SLEPc ⋮ Inexact inverse subspace iteration with preconditioning applied to quadratic matrix polynomials

Uses Software

• JDQR
• JDQZ
• JDCG

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