Converting BiCR method for linear equations with complex symmetric matrices

DOI10.1016/j.amc.2017.10.046zbMath1426.65045OpenAlexW2768379878MaRDI QIDQ2423078

Kuniyoshi Abe, Seiji Fujino

Publication date: 21 June 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.10.046

zbMATH Keywords

linear equationsKrylov subspace methodsbi-conjugate gradient methodcomplex symmetric matricesbi-conjugate residual method

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Matrix iteration algorithms for solving the generalized Lyapunov matrix equation

Uses Software

• BiCGstab

Cites Work

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• The CBiCG class of algorithms for complex symmetric linear systems with applications in several electromagnetic model problems
• Relaxationsmethoden bester Strategie zur Lösung linearer Gleichungssysteme
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• Preconditioning Helmholtz linear systems
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• Numerical solution for exterior problems
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• BiCGstab(\(l\)) for linear equations involving unsymmetric matrices with complex spectrum
• Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems
• Maintaining convergence properties of BiCGStab methods in finite precision arithmetic
• A generalization of preconditioned MHSS iteration method for complex symmetric indefinite linear systems
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• An iterative method for large systems of linear structural equations

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