Convergence theorems for parallel multisplitting two-stage iterative methods for mildly nonlinear systems

DOI10.1016/S0024-3795(02)00518-9zbMath1030.65052MaRDI QIDQ1863585

Chuan-Long Wang, Zhong Zhi Bai

Publication date: 11 March 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

parallel computationtwo-stage iterative methodlocal and global convergencesystem of mildly nonlinear equationssymmetric \(P\)-regular splittingsymmetric positive definiteness

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Parallel numerical computation (65Y05)

Related Items (8)

On the convergence of a new splitting iterative method for non-Hermitian positive definite linear systems ⋮ Practical convergent splittings and acceleration methods for non-Hermitian positive definite linear systems ⋮ Semiconvergence of two-stage iterative methods for singular linear systems ⋮ Modified parallel multisplitting iterative methods for non-Hermitian positive definite systems ⋮ Convergence conditions for splitting iteration methods for non-Hermitian linear systems ⋮ Asynchronous multisplitting GAOR method and asynchronous multisplitting SSOR method for systems of weakly nonlinear equations ⋮ Nonstationary multisplittings with general weighting matrices for mildly nonlinear systems ⋮ Parallel multisplitting two-stage iterative methods with general weighting matrices for non-symmetric positive definite systems

Cites Work

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• Convergence of two-stage iterative methods for Hermitian positive definite matrices
• Parallel multisplitting two-stage iterative methods for large sparse systems of weakly nonlinear equations
• On the monotone convergence of multisplitting method for a class of systems of weakly nonlinear equations
• Quasi-Newton Methods, Motivation and Theory
• Iterative Solution Methods
• Convergence of non-stationary parallel multisplitting methods for hermitian positive definite matrices

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