A generalized modified SOR-like method for the singular saddle point problems
type: Item
instance of: scholarly article
title: A generalized modified SOR-like method for the singular saddle point problems
zbMATH Open document ID: 1378.65082
author: Bing Zheng
author: Hong-Tao Fan
author: Xinyun Zhu
published in: Journal of Applied Mathematics and Computing
publication date: 2017-11-10T00:00:00Z
review text: The authors extend a previously proposed successive overrelaxation (SOR)-like iteration for nonsingular saddle point problems to singular, but consistent ones. They prove semi-convergence of the method and determine the optimal iteration parameters and the corresponding optimal semiconvergence factor for the new algorithm.
reviewed by: Constantin Popa
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F50
zbMATH DE Number: 6805274
zbMATH Keywords: singular saddle point problems
zbMATH Keywords: semi-convergence
zbMATH Keywords: semi-convergence factor
zbMATH Keywords: optimal iteration parameters
zbMATH Keywords: algorithm
zbMATH Keywords: successive overrelaxation
MaRDI profile type: Publication
full work available at URL: s12190-016-1004-0
OpenAlex ID: W2337108965
cites work: Structured preconditioners for nonsingular matrices of block two-by-two structures
cites work: Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems
cites work: On semi-convergence of Hermitian and skew-Hermitian splitting methods for singular linear systems
cites work: Q4326384
cites work: Practical methods for optimal control using nonlinear programming
cites work: A generalized preconditioned HSS method for singular saddle point problems
cites work: Semi-convergence analysis of the Uzawa-SOR methods for singular saddle point problems
cites work: A note on the generalization of parameterized inexact Uzawa method for singular saddle point problems
cites work: Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations
cites work: Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems
cites work: Q5702543
cites work: Preconditioners for saddle point problems arising in computational fluid dynamics
cites work: A preconditioned GLHSS iteration method for non-Hermitian singular saddle point problems
cites work: A modified SOR-like method for the augmented systems
cites work: The generalized HSS method for solving singular linear systems
cites work: Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations
cites work: Skew-Hermitian triangular splitting iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts
cites work: On generalized parameterized inexact Uzawa methods for singular saddle-point problems
cites work: Semi-convergence analysis of Uzawa methods for singular saddle point problems
cites work: On the convergence of general stationary iterative methods for range-Hermitian singular linear systems
cites work: On semi-convergence of parameterized Uzawa methods for singular saddle point problems
DOI: 10.1007/S12190-016-1004-0
description: scientific article; zbMATH DE number 6805274