Generalized skew-Hermitian triangular splitting iteration methods for saddle-point linear systems
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Publication:4982962
DOI10.1002/nla.1870zbMath1324.65053OpenAlexW2162356080MaRDI QIDQ4982962
Zhi-Ru Ren, B. L. Krukier, Lev A. Krukier
Publication date: 13 April 2015
Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nla.1870
convergence analysiseigenvalue estimateskew-Hermitian triangular splittingproduct-type skew-Hermitian triangular splittingsaddle-point linear systems
Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)
Related Items (23)
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Cites Work
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- A class of nested iteration schemes for linear systems with a coefficient matrix with a dominant positive definite symmetric part
- Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems
- On parameterized inexact Uzawa methods for generalized saddle point problems
- On the convergence of the modified accelerated overrelaxation (MAOR) method
- A class of modified block SSOR preconditioners for symmetric positive definite systems of linear equations
- Convergence acceleration of triangular iterative methods based on the skew-symmetric part of the matrix
- Triangular skew-symmetric iterative solvers for strongly nonsymmetric positive real linear system of equations
- Skew-Hermitian triangular splitting iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts
- Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems
- Preconditioners for nonsymmetric block Toeplitz-like-plus-diagonal linear systems
- On generalized successive overrelaxation methods for augmented linear systems
- Optimal parameters in the HSS-like methods for saddle-point problems
- A variant of the AOR method for augmented systems
- Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems
- Numerical solution of saddle point problems
- Acceleration of Relaxation Methods for Non-Hermitian Linear Systems
- Accelerated Overrelaxation Method
- 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
- A null space algorithm for mixed finite-element approximations of Darcy's equation
- Generalized AOR method for the augmented system
- SSOR-like methods for saddle point problems
- A Class of Nonsymmetric Preconditioners for Saddle Point Problems
- A generalized SSOR method
- Matrix Iterative Analysis
- On the preconditioning of matrices with skew-symmetric splittings
- A class of incomplete orthogonal factorization methods. I: Methods and theories
- SOR-like methods for augmented systems
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