A new iterative method for solving complex symmetric linear systems

DOI10.1016/j.amc.2017.01.002zbMath1411.65056OpenAlexW2574821305MaRDI QIDQ1735271

Hua Dai, Zhang, Jianhua

Publication date: 28 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2017.01.002

zbMATH Keywords

preconditioningcomplex symmetric linear systemsPMHSSSQMR

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10)

Uses Software

• SparseMatrix
• BiCOR
• CORS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A generalized product-type BiCOR method and its application in signal deconvolution
• On preconditioned MHSS iteration methods for complex symmetric linear systems
• Positive stable preconditioners for symmetric indefinite linear systems arising from Helmholtz equations
• A breakdown-free Lanczos type algorithm for solving linear systems
• Lanczos-type variants of the COCR method for complex nonsymmetric linear systems
• A COCR method for solving complex symmetric linear systems
• Modified HSS iteration methods for a class of complex symmetric linear systems
• An extension of the conjugate residual method to nonsymmetric linear systems
• QMR: A quasi-minimal residual method for non-Hermitian linear systems
• On a conjugate gradient-type method for solving complex symmetric linear systems
• An analysis of the composite step biconjugate gradient method
• A composite step bi-conjugate gradient algorithm for nonsymmetric linear systems
• Complex conjugate gradient methods
• New look-ahead Lanczos-type algorithms for linear systems
• Iterative system solvers for the frequency analysis of linear mechanical systems
• On a class of preconditioners for solving the Helmholtz equation
• A hybrid variant of the BiCOR method for a nonsymmetric linear system with a complex spectrum
• A quasi-minimal residual variant of the BiCORSTAB method for nonsymmetric linear systems
• Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation
• The university of Florida sparse matrix collection
• The BiCOR and CORS Iterative Algorithms for Solving Nonsymmetric Linear Systems
• A Look-Ahead Lanczos Algorithm for Unsymmetric Matrices
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Conjugate Gradient-Type Methods for Linear Systems with Complex Symmetric Coefficient Matrices
• Solution of Sparse Indefinite Systems of Linear Equations
• An Implementation of the QMR Method Based on Coupled Two-Term Recurrences
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• Composite Step Product Methods for Solving Nonsymmetric Linear Systems
• An Implementation of the Look-Ahead Lanczos Algorithm for Non-Hermitian Matrices
• A Transpose-Free Quasi-Minimal Residual Algorithm for Non-Hermitian Linear Systems
• A Fast Algorithm for the Electromagnetic Scattering from a Large Cavity
• Generalized Conjugate A-Orthogonal Residual Squared Method for Complex Non-Hermitian Linear Systems

This page was built for publication: A new iterative method for solving complex symmetric linear systems