A new splitting preconditioner for the iterative solution of complex symmetric indefinite linear systems

DOI10.1016/j.aml.2015.05.006zbMath1382.65083OpenAlexW765022325MaRDI QIDQ289393

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.2015.05.006

zbMATH Keywords

preconditioningcomplex symmetric linear systemdiscrete sine transformSHNS iteration

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Linear equations (linear algebraic aspects) (15A06) Preconditioners for iterative methods (65F08)

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Cites Work

• Unnamed Item
• Unnamed Item
• Hermitian and normal splitting methods for non-Hermitian positive definite linear systems
• On preconditioned MHSS iteration methods for complex symmetric linear systems
• Modified HSS iteration methods for a class of complex symmetric linear systems
• Iterative system solvers for the frequency analysis of linear mechanical systems
• Several splittings for non-Hermitian linear systems
• Several variants of the Hermitian and skew-Hermitian splitting method for a class of complex symmetric linear systems
• Preconditioned GSOR iterative method for a class of complex symmetric system of linear equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Conjugate Gradient-Type Methods for Linear Systems with Complex Symmetric Coefficient Matrices
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• Sine transform based preconditioners for elliptic problems
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• A Fast Algorithm for the Electromagnetic Scattering from a Large Cavity