The convergence of the two-stage iterative method for Hermitian positive definite linear systems

DOI10.1016/S0893-9659(98)00001-9zbMath1337.65029OpenAlexW2069322648MaRDI QIDQ289324

Zhong Zhi Bai

Publication date: 30 May 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(98)00001-9

zbMATH Keywords

asymptotic convergence rateHermitian positive definite matrixconvergence theorylinear system of equationstwo-stage iterative method

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Linear equations (linear algebraic aspects) (15A06)

Related Items

Convergence of two-stage iterative methods for singular symmetric positive semidefinite systems^∗ ⋮ Convergence of waveform relaxation methods for Hermitian positive definite linear systems ⋮ Semiconvergence of two-stage iterative methods for singular linear systems ⋮ Convergence theorems for block splitting iterative methods for linear systems ⋮ Updated preconditioned Hermitian and skew-Hermitian splitting-type iteration methods for solving saddle-point problems ⋮ Weight splitting iteration methods to solve quadratic nonlinear matrix equation \(MY^2+NY+P=0\) ⋮ Convergence conditions for splitting iteration methods for non-Hermitian linear systems ⋮ On \(m\)-step Hermitian and skew-Hermitian splitting preconditioning methods ⋮ Generalizations of the nonstationary multisplitting iterative method for symmetric positive definite linear systems ⋮ Asynchronous multisplitting GAOR method and asynchronous multisplitting SSOR method for systems of weakly nonlinear equations ⋮ On the convergence of nonstationary multisplitting two-stage iteration methods for Hermitian positive definite linear systems ⋮ Parallel multisplitting two-stage iterative methods with general weighting matrices for non-symmetric positive definite systems ⋮ Convergence theorems for parallel multisplitting two-stage iterative methods for mildly nonlinear systems

Cites Work

• Unnamed Item
• Unnamed Item
• The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems
• \(H\)-splittings and two-stage iterative methods
• The monotone convergence of the two-stage iterative method for solving large sparse systems of linear equations
• Convergence of nested classical iterative methods for linear systems
• On the Convergence of Two-Stage Iterative Processes for Solving Linear Equations

This page was built for publication: The convergence of the two-stage iterative method for Hermitian positive definite linear systems