On two generalized inverse eigenvalue problems for Hessenberg-upper triangular pencils and their application to the study of GMRES convergence
type: Item
instance of: scholarly article
title: On two generalized inverse eigenvalue problems for Hessenberg-upper triangular pencils and their application to the study of GMRES convergence
zbMATH Open document ID: 1391.65094
author: Kui Du
author: Yunqing Huang
author: YiWei Wang
published in: Linear Algebra and its Applications
publication date: 2018-06-20T00:00:00Z
Mathematics Subject Classification ID: 65F18
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 6891791
zbMATH Keywords: generalized inverse eigenvalue problem
zbMATH Keywords: Hessenberg-upper triangular pencil
zbMATH Keywords: GMRES
zbMATH Keywords: Ritz value
zbMATH Keywords: harmonic Ritz value
MaRDI profile type: Publication
full work available at URL: j.laa.2018.04.031
OpenAlex ID: W2803064062
cites work: Q3974761
cites work: Krylov sequences of maximal length and convergence of GMRES
cites work: The principle of minimized iterations in the solution of the matrix eigenvalue problem
cites work: Q4681781
cites work: Any admissible harmonic Ritz value set is possible for GMRES
cites work: Any Ritz Value Behavior Is Possible for Arnoldi and for GMRES
cites work: On the convergence of Q-OR and Q-MR Krylov methods for solving nonsymmetric linear systems
cites work: On investigating GMRES convergence using unitary matrices
cites work: Ritz and harmonic Ritz values and the convergence of FOM and GMRES
cites work: The QR algorithm for unitary Hessenberg matrices
cites work: Any Nonincreasing Convergence Curve is Possible for GMRES
cites work: Q4309410
cites work: Matrix extensions and eigenvalue completions, the generic case
cites work: Q4015339
cites work: Q3977715
cites work: GMRES and the Arioli, Pták, and Strakoš parametrization
cites work: Necessary and sufficient conditions for GMRES complete and partial stagnation
cites work: The Coefficients of the FOM and GMRES Residual Polynomials
cites work: The role eigenvalues play in forming GMRES residual norms with non-normal matrices
cites work: GMRES with Deflated Restarting
cites work: GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
cites work: Steady-state convection-diffusion problems
cites work: Q3726271
cites work: Any admissible cycle-convergence behavior is possible for restarted GMRES at its initial cycles.
cites work: The superlinear convergence behaviour of GMRES
cites work: Convergence of the shifted $QR$ algorithm for unitary Hessenberg matrices
cites work: Q4291914
Wikidata QID: Q129899951
DOI: 10.1016/J.LAA.2018.04.031
description: scientific article; zbMATH DE number 6891791