On preconditioned generalized shift-splitting iteration methods for saddle point problems
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Publication:1705021
DOI10.1016/j.camwa.2017.05.031zbMath1384.65025OpenAlexW2692539798MaRDI QIDQ1705021
Shu-Xin Miao, Zhi-Ru Ren, Yang Cao
Publication date: 14 March 2018
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2017.05.031
Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)
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Cites Work
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- A class of generalized shift-splitting preconditioners for nonsymmetric saddle point problems
- Eigenvalue estimates for saddle point matrices of Hermitian and indefinite leading blocks
- On the generalized shift-splitting preconditioner for saddle point problems
- Generalized shift-splitting iteration method for a class of two-by-two linear systems
- Generalized shift-splitting preconditioners for nonsingular and singular generalized saddle point problems
- Spectral analysis of the generalized shift-splitting preconditioned saddle point problem
- Optimization of extrapolated Cayley transform with non-Hermitian positive definite matrix
- Meshless methods: a review and computer implementation aspects
- A generalized preconditioned HSS method for non-Hermitian positive definite linear systems
- Block triangular preconditioners for symmetric saddle-point problems
- Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems
- On semi-convergence of the generalized shift-splitting iteration method for singular nonsymmetric saddle point problems
- Shift-splitting preconditioners for saddle point problems
- Some iterative methods for the solution of a symmetric indefinite KKT system
- On generalized successive overrelaxation methods for augmented linear systems
- Natural Preconditioning and Iterative Methods for Saddle Point Systems
- Finite Elements and Fast Iterative Solvers
- A New Analysis of Block Preconditioners for Saddle Point Problems
- A splitting preconditioner for saddle point problems
- Unified analysis of preconditioning methods for saddle point matrices
- A modified modulus method for symmetric positive-definite linear complementarity problems
- 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
- Numerical solution of saddle point problems
- Numerical Optimization
- Element‐free Galerkin methods
- Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems
- Analysis of the Inexact Uzawa Algorithm for Saddle Point Problems
- Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
- A Preconditioner for Generalized Saddle Point Problems
- Generalized Preconditioned Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive-Definite Linear Systems
- A Relaxed HSS Preconditioner for Saddle Point Problems from Meshfree Discretization
- SOR-like methods for augmented systems
