Optimization of the parameterized Uzawa preconditioners for saddle point matrices
From MaRDI portal
Publication:1008674
DOI10.1016/j.cam.2008.05.019zbMath1170.65027OpenAlexW2063598376MaRDI QIDQ1008674
Publication date: 30 March 2009
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2008.05.019
convergencenumerical examplesoptimal parametersaddle point problemgeneralized minimal residual (GMRES) methodslinear equations solverparametrized Uzawa preconditioner
Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)
Related Items (8)
Modified Alternating Positive Semidefinite Splitting Preconditioner for Time-Harmonic Eddy Current Models ⋮ A note on the positive stable block triangular preconditioner for generalized saddle point problems ⋮ \(L_2\)-\(L_q\) reconstruction model for computational spectrometer ⋮ Comparisons of two iteration methods for time-harmonic parabolic optimal control problems ⋮ On parameterized block triangular preconditioners for generalized saddle point problems ⋮ An alternating preconditioner for saddle point problems ⋮ A low-order block preconditioner for saddle point linear systems ⋮ Convergence behavior of generalized parameterized Uzawa method for singular saddle-point problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A unified framework for the construction of various matrix multisplitting iterative methods for large sparse system of linear equations
- Preconditioning techniques for large linear systems: A survey
- Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems
- On generalized successive overrelaxation methods for augmented linear systems
- Restrictive preconditioners for conjugate gradient methods for symmetric positive definite linear systems
- A Note on Preconditioning Nonsymmetric Matrices
- Structured preconditioners for nonsingular matrices of block two-by-two structures
- On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations
- 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
- Iterative Solution Methods
- Fast Iterative Solution of Stabilised Stokes Systems Part II: Using General Block Preconditioners
- Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
- Restrictively preconditioned conjugate gradient methods for systems of linear equations
- Constraint Preconditioning for Indefinite Linear Systems
- A Note on Preconditioning for Indefinite Linear Systems
- A Preconditioner for Generalized Saddle Point Problems
- Spectral Properties of the Hermitian and Skew-Hermitian Splitting Preconditioner for Saddle Point Problems
- Analysis of Preconditioners for Saddle-Point Problems
- Block Triangular and Skew-Hermitian Splitting Methods for Positive-Definite Linear Systems
- Matrix Preconditioning Techniques and Applications
- Iterative Krylov Methods for Large Linear Systems
- Schur complement preconditioning for elliptic systems of partial differential equations
- On Inexact Preconditioners for Nonsymmetric Matrices
- Optimal Parameter in Hermitian and Skew-Hermitian Splitting Method for Certain Two-by-Two Block Matrices
- A class of incomplete orthogonal factorization methods. I: Methods and theories
- On the convergence of nonstationary multisplitting two-stage iteration methods for Hermitian positive definite linear systems
This page was built for publication: Optimization of the parameterized Uzawa preconditioners for saddle point matrices
