A preconditioned iterative method for saddlepoint problems
SIAM Journal on Matrix Analysis and Applications
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
Fast nonsymmetric iterations and preconditioning for Navier-Stokes equations
SIAM Journal on Scientific Computing - Special issue on iterative methods in numerical linear algebra; selected papers from the Colorado conference
Optimum acceleration parameter for the GSOR method
Neural, Parallel & Scientific Computations
An Iterative Method with Variable Relaxation Parameters for Saddle-Point Problems
SIAM Journal on Matrix Analysis and Applications
Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
SIAM Journal on Matrix Analysis and Applications
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Fast uzawa algorithm for generalized saddle point problems
Applied Numerical Mathematics
SIAM Journal on Matrix Analysis and Applications
Journal of Computational and Applied Mathematics
Constraint Preconditioners for Symmetric Indefinite Matrices
SIAM Journal on Matrix Analysis and Applications
Spectral Analysis of Saddle Point Matrices with Indefinite Leading Blocks
SIAM Journal on Matrix Analysis and Applications
| Hi-index | 7.29 |
A parameterized preconditioning framework is proposed to improve the conditions of the generalized saddle point problems. Based on the eigenvalue estimates for the generalized saddle point matrices, a strategy to minimize the upper bounds of the spectral condition numbers of the matrices is given, and the explicit expression of the quasi-optimal preconditioning parameter is obtained. In numerical experiment, parameterized preconditioning techniques are applied to the generalized saddle point problems derived from the mixed finite element discretization of the stationary Stokes equation. Numerical results demonstrate that the involved preconditioning procedures are efficient.