The rate of convergence of GMRES on a tridiagonal Toeplitz linear system. II

DOI10.1016/j.laa.2009.05.009zbMath1178.65033OpenAlexW2100726879MaRDI QIDQ1039752

Wei Zhang, Ren-Cang Li

Publication date: 23 November 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.2009.05.009

zbMATH Keywords

rate of convergencelinear systemgeneralized minimal residual (GMRES) methodtridiagonal Toeplitz matrix

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (3)

Convergence rate of GMRES on tridiagonal block Toeplitz linear systems ⋮ The upper and lower bounds for generalized minimal residual method on a tridiagonal Toeplitz linear system ⋮ GMRES on tridiagonal block Toeplitz linear systems

Cites Work

• On the worst-case convergence of MR and CG for symmetric positive definite tridiagonal Toeplitz matrices
• The rate of convergence of GMRES on a tridiagonal Toeplitz linear system
• A note on conjugate gradient convergence
• A note on conjugate gradient convergence. II
• Expressions and bounds for the GMRES residual
• The worst-case GMRES for normal matrices
• Superlinear CG convergence for special right-hand sides
• Complete stagnation of GMRES
• Convergence of CG and GMRES on a tridiagonal Toeplitz linear system
• Least Squares Residuals and Minimal Residual Methods
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Residual-Minimizing Krylov Subspace Methods for Stabilized Discretizations of Convection-Diffusion Equations
• Convergence of GMRES for Tridiagonal Toeplitz Matrices
• An Introduction to Iterative Toeplitz Solvers
• On Meinardus' examples for the conjugate gradient method
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