Inexact and preconditioned Uzawa algorithms for saddle point problems
SIAM Journal on Numerical Analysis - Special issue: the articles in this issue are dedicated to Seymour V. Parter
Uzawa type algorithms for nonsymmetric saddle point problems
Mathematics of Computation
Practical methods for optimal control using nonlinear programming
Practical methods for optimal control using nonlinear programming
Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
SIAM Journal on Matrix Analysis and Applications
Preconditioners for saddle point problems arising in computational fluid dynamics
Applied Numerical Mathematics
Weak-convergence theory of quasi-nonnegative splittings for singular matrices
Applied Numerical Mathematics - Special issue: 2nd international workshop on numerical linear algebra, numerical methods for partial differential equations and optimization
Analysis of iterative algorithms of Uzawa type for saddle point problems
Applied Numerical Mathematics
A Preconditioner for Generalized Saddle Point Problems
SIAM Journal on Matrix Analysis and Applications
On Inexact Preconditioners for Nonsymmetric Matrices
SIAM Journal on Scientific Computing
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Applied Numerical Mathematics
Convergence of General Nonstationary Iterative Methods for Solving Singular Linear Equations
SIAM Journal on Matrix Analysis and Applications
A note on spectrum analysis of augmentation block Schur complement preconditioners
Numerical Algorithms
A note on spectrum analysis of augmentation block preconditioned generalized saddle point matrices
Journal of Computational and Applied Mathematics
Constraint preconditioners for solving singular saddle point problems
Journal of Computational and Applied Mathematics
International Journal of Computer Mathematics
Preconditioned AHSS iteration method for singular saddle point problems
Numerical Algorithms
Semi-convergence analysis of Uzawa methods for singular saddle point problems
Journal of Computational and Applied Mathematics
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In this paper, we propose a new preconditioned generalized local Hermitian and skew-Hermitian splitting (GLHSS) iteration method for solving the non-Hermitian saddle point problems. The semi-convergence of this method is discussed. Theoretical analysis shows that the semi-convergence of this new method can be guaranteed by suitable choices of the parameters and parameter matrices. Numerical examples are used to illustrate the theoretical results and examine the numerical effectiveness of the GLHSS iteration method served either as a preconditioner for GMRES or as a solver.