On the generalized shift-splitting preconditioner for saddle point problems
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Publication:494551
DOI10.1016/j.aml.2015.02.026zbMath1325.65048arXiv1412.8449OpenAlexW1979125951MaRDI QIDQ494551
Davod Hezari, Mohsen Masoudi, Davod Khojasteh Salkuyeh
Publication date: 1 September 2015
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.8449
Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)
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Cites Work
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- Modified block preconditioners for the discretized time-harmonic Maxwell equations in mixed form
- A relaxed dimensional factorization preconditioner for the incompressible Navier-Stokes equations
- A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations
- Generalized block triangular preconditioner for symmetric saddle point problems
- On parameterized inexact Uzawa methods for generalized saddle point problems
- Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems
- Shift-splitting preconditioners for saddle point problems
- A generalized shift-splitting preconditioner for saddle point problems
- Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle
- Eigenvalue estimates of an indefinite block triangular preconditioner for saddle point problems
- On generalized successive overrelaxation methods for augmented linear systems
- A splitting preconditioner for saddle point problems
- Optimal parameters in the HSS-like methods for saddle-point problems
- Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems
- On Iterative Solutions of General Coupled Matrix Equations
- Numerical solution of saddle point problems
- Algorithm 866
- Mixed and Hybrid Finite Element Methods
- Fast Iterative Solution of Stabilised Stokes Systems Part II: Using General Block Preconditioners
- Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems
- Analysis of the Inexact Uzawa Algorithm for Saddle Point Problems
- Block-Triangular Preconditioners for Saddle Point Problems with a Penalty Term
- Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
- A Preconditioner for Generalized Saddle Point Problems
- A note on eigenvalue distribution of constraint-preconditioned symmetric saddle point matrices
- Gradient based iterative algorithms for solving a class of matrix equations
