GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
GMRES On (Nearly) Singular Systems
SIAM Journal on Matrix Analysis and Applications
Preconditioning for the Steady-State Navier--Stokes Equations with Low Viscosity
SIAM Journal on Scientific Computing
Constraint Preconditioning for Indefinite Linear Systems
SIAM Journal on Matrix Analysis and Applications
A Note on Constraint Preconditioning for Nonsymmetric Indefinite Matrices
SIAM Journal on Matrix Analysis and Applications
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
A Preconditioner for Generalized Saddle Point Problems
SIAM Journal on Matrix Analysis and Applications
SIAM Journal on Matrix Analysis and Applications
Semi-convergence analysis of Uzawa methods for singular saddle point problems
Journal of Computational and Applied Mathematics
A preconditioned GLHSS iteration method for non-Hermitian singular saddle point problems
Computers & Mathematics with Applications
| Hi-index | 7.29 |
We study constraint preconditioners for solving singular saddle point problems. We analyze properties of the preconditioned matrices, in particular their eigenvalue distributions, and prove that for solving singular saddle point problems by preconditioned GMRES methods with constraint preconditioners, GMRES will determine the least squares solutions at breakdown. In addition, we present some numerical examples to demonstrate the convergence behavior of preconditioned GMRES for solving singular saddle point problems.