The upper and lower bounds for generalized minimal residual method on a tridiagonal Toeplitz linear system

DOI10.1080/00207160.2015.1009901zbMath1339.65046OpenAlexW1969001827MaRDI QIDQ2804914

Reza Doostaki, H. Sadeghi Goughery

Publication date: 6 May 2016

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2015.1009901

zbMATH Keywords

linear systemKrylov subspace methodChebyshev polynomialgeneralized minimal residual (GMRES)tridiagonal 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 ⋮ A new simultaneously compact finite difference scheme for high-dimensional time-dependent PDEs ⋮ GMRES on tridiagonal block Toeplitz linear systems

Cites Work

• The rate of convergence of GMRES on a tridiagonal Toeplitz linear system
• The rate of convergence of GMRES on a tridiagonal Toeplitz linear system. II
• Expressions and bounds for the GMRES residual
• Complete stagnation of GMRES
• Convergence of CG and GMRES on a tridiagonal Toeplitz linear system
• 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
• On Meinardus' examples for the conjugate gradient method
• GMRES Convergence Analysis for a Convection-Diffusion Model Problem

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