Inexact splitting-based block preconditioners for block two-by-two linear systems

DOI10.1016/j.aml.2016.04.008zbMath1382.65082OpenAlexW2335782976MaRDI QIDQ289265

Hua Dai, Zhang, Jianhua

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/j.aml.2016.04.008

zbMATH Keywords

block two-by-two matrixsplitting-based preconditionerinexact preconditioning

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)

Related Items (10)

A single-step iteration method for non-Hermitian positive definite linear systems ⋮ A splitting iterative method and preconditioner for complex symmetric linear system via real equivalent form ⋮ Practical RPCG methods for complex symmetric linear systems ⋮ Modified upper and lower triangular splitting iterative method for a class of block two-by-two linear systems ⋮ Efficient parameterized rotated shift-splitting preconditioner for a class of complex symmetric linear systems ⋮ An efficient two-step iterative method for solving a class of complex symmetric linear systems ⋮ A shift-splitting preconditioner for a class of block two-by-two linear systems ⋮ Modified Newton-NSS method for solving systems of nonlinear equations ⋮ A class of efficient parameterized shift-splitting preconditioners for block two-by-two linear systems ⋮ King-NSS iteration method for solving a class of large sparse nonlinear systems

Cites Work

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• On preconditioned iteration methods for complex linear systems
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• On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems

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