A splitting iterative method and preconditioner for complex symmetric linear system via real equivalent form

DOI10.32513/asetmj/1932200821zbMath1486.65034OpenAlexW4285325102MaRDI QIDQ2139468

Shu-Xin Miao, Wen-Bin Bao

Publication date: 17 May 2022

Published in: Advanced Studies: Euro-Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.32513/asetmj/1932200821

zbMATH Keywords

convergenceiterative methodpreconditionercomplex symmetric linear systemsreal equivalent formblock two-by-two linear system

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• On SSOR iteration method for a class of block two-by-two linear systems
• Inexact splitting-based block preconditioners for block two-by-two linear systems
• A class of generalized shift-splitting preconditioners for nonsymmetric saddle point problems
• A simplified HSS preconditioner for generalized saddle point problems
• A note on preconditioners for complex linear systems arising from PDE-constrained optimization problems
• The CBiCG class of algorithms for complex symmetric linear systems with applications in several electromagnetic model problems
• A comparison of iterative methods to solve complex valued linear algebraic systems
• A shift-splitting preconditioner for a class of block two-by-two linear systems
• A new block preconditioner for complex symmetric indefinite linear systems
• On preconditioned MHSS iteration methods for complex symmetric linear systems
• Optimization of extrapolated Cayley transform with non-Hermitian positive definite matrix
• A COCR method for solving complex symmetric linear systems
• Modified HSS iteration methods for a class of complex symmetric linear systems
• A variant of the HSS preconditioner for complex symmetric indefinite linear systems
• Efficient preconditioning for sequences of parametric complex symmetric linear systems
• Iterative system solvers for the frequency analysis of linear mechanical systems
• Lopsided modified Euler-extrapolated Hermitian and skew-Hermitian splitting method for a class of complex symmetric linear systems
• A new preconditioner for a class of \(2\times 2\) block linear systems
• A practical formula for computing optimal parameters in the HSS iteration methods
• Solving Complex-Valued Linear Systems via Equivalent Real Formulations
• Block Variants of the COCG and COCR Methods for Solving Complex Symmetric Linear Systems with Multiple Right-Hand Sides
• Block preconditioning of real-valued iterative algorithms for complex linear systems
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• Matrix Preconditioning Techniques and Applications
• Real valued iterative methods for solving complex symmetric linear systems
• An Iterative Method for Solving Complex-Symmetric Systems Arising in Electrical Power Modeling
• A Modified Relaxed Positive-Semidefinite and Skew-Hermitian Splitting Preconditioner for Generalized Saddle Point Problems

This page was built for publication: A splitting iterative method and preconditioner for complex symmetric linear system via real equivalent form