On the convergence of the minimum residual HSS iteration method

DOI10.1016/j.aml.2019.02.031zbMath1411.65055OpenAlexW2918803366MaRDI QIDQ1739505

Ai-Li Yang

Publication date: 26 April 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.02.031

zbMATH Keywords

iteration methodHermitian and skew-Hermitian splittingunconditionally convergentminimum residual

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Iterative numerical methods for linear systems (65F10)

Related Items (3)

Novel minimum residual MHSS iteration method for solving complex symmetric linear systems ⋮ Note to the convergence of minimum residual HSS method ⋮ Modified two-step scale-splitting iteration method for solving complex symmetric linear systems

Cites Work

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• The generalized HSS method with a flexible shift-parameter for non-Hermitian positive definite linear systems
• On spectral clustering of HSS preconditioner for generalized saddle-point matrices
• Minimum residual Hermitian and skew-Hermitian splitting iteration method for non-Hermitian positive definite linear systems
• A practical formula for computing optimal parameters in the HSS iteration methods
• On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• A Preconditioner for Generalized Saddle Point Problems
• Scaled norm minimization method for computing the parameters of the HSS and the two‐parameter HSS preconditioners
• Optimal Parameter in Hermitian and Skew-Hermitian Splitting Method for Certain Two-by-Two Block Matrices

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