The generalized HSS method with a flexible shift-parameter for non-Hermitian positive definite linear systems
From MaRDI portal
Publication:291899
DOI10.1007/s10543-015-0584-7zbMath1341.65014OpenAlexW1916684379MaRDI QIDQ291899
Guo-Yan Meng, Qing-Shan Zhao, Rui-Ping Wen
Publication date: 10 June 2016
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10543-015-0584-7
numerical examplesHSS methodnon-Hermitian positive definite matrixshift-parameterskew-Hermitian splitting (HSS)
Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10)
Related Items (6)
Variable-parameter HSS methods for non-Hermitian positive definite linear systems ⋮ Editorial preface: ``Advances in numerical algebra and scientific computing ⋮ On convergence of EVHSS iteration method for solving generalized saddle-point linear systems ⋮ Minimum residual Hermitian and skew-Hermitian splitting iteration method for non-Hermitian positive definite linear systems ⋮ On the convergence of the minimum residual HSS iteration method ⋮ Efficient preconditioned NHSS iteration methods for solving complex symmetric linear systems
Cites Work
- Unnamed Item
- Unnamed Item
- Practical convergent splittings and acceleration methods for non-Hermitian positive definite linear systems
- On semi-convergence of modified HSS iteration methods
- Modified HSS iteration methods for a class of non-Hermitian positive-definite linear systems
- A modified GPSS method for non-Hermitian positive definite linear systems
- On semi-convergence of Hermitian and skew-Hermitian splitting methods for singular linear systems
- The generalized HSS method for solving singular linear systems
- Modified HSS iteration methods for a class of complex symmetric linear systems
- On HSS and AHSS iteration methods for nonsymmetric positive definite Toeplitz systems
- Preconditioned HSS methods for the solution of non-Hermitian positive definite linear systems and applications to the discrete convection-diffusion equation
- Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems
- A practical formula for computing optimal parameters in the HSS iteration methods
- On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems
- Splitting iteration methods for non-Hermitian positive definite systems of linear equations
- On convergence of alternating direction procedures
- Block alternating splitting implicit iteration methods for saddle-point problems from time-harmonic eddy current models
- Optimal parameters in the HSS-like methods for saddle-point problems
- On the Numerical Integration of $\frac{\partial ^2 u}{\partial x^2 } + \frac{\partial ^2 u}{\partial y^2 } = \frac{\partial u}{\partial t}$ by Implicit Methods
- Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems
- Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices
- A Generalization of the Hermitian and Skew-Hermitian Splitting Iteration
- Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
- Spectral Properties of the Hermitian and Skew-Hermitian Splitting Preconditioner for Saddle Point Problems
- Optimal Parameter in Hermitian and Skew-Hermitian Splitting Method for Certain Two-by-Two Block Matrices
- Sufficient conditions for the convergent splittings of non-Hermitian positive definite matrices
This page was built for publication: The generalized HSS method with a flexible shift-parameter for non-Hermitian positive definite linear systems
