Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
Fast iterative solution of stabilised Stokes systems part II: using general block preconditioners
SIAM Journal on Numerical Analysis
Block-Triangular Preconditioners for Saddle Point Problems with a Penalty Term
SIAM Journal on Scientific Computing
Sharp error bounds of some Krylov subspace methods for non-Hermitian linear systems
Applied Mathematics and Computation
Constraint Preconditioning for Indefinite Linear Systems
SIAM Journal on Matrix Analysis and Applications
A Note on Preconditioning for Indefinite Linear Systems
SIAM Journal on Scientific Computing
A Note on Preconditioning Nonsymmetric Matrices
SIAM Journal on Scientific Computing
A Note on Constraint Preconditioning for Nonsymmetric Indefinite Matrices
SIAM Journal on Matrix Analysis and Applications
Analysis of iterative methods for saddle point problems: a unified approach
Mathematics of Computation
Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
SIAM Journal on Matrix Analysis and Applications
Block triangular preconditioners for symmetric saddle-point problems
Applied Numerical Mathematics - Numerical algorithms, parallelism and applications
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
Positive stable block triangular preconditioners for symmetric saddle point problems
Applied Numerical Mathematics
Constraint Schur complement preconditioners for nonsymmetric saddle point problems
Applied Numerical Mathematics
A modified SSOR iterative method for augmented systems
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Constraint Preconditioners for Symmetric Indefinite Matrices
SIAM Journal on Matrix Analysis and Applications
Journal of Computational and Applied Mathematics
Applied Numerical Mathematics
Modified block preconditioners for the discretized time-harmonic Maxwell equations in mixed form
Journal of Computational and Applied Mathematics
Indefinite block triangular preconditioner for symmetric saddle point problems
Calcolo: a quarterly on numerical analysis and theory of computation
| Hi-index | 7.29 |
In this paper, an indefinite block triangular preconditioner for symmetric saddle point problems is discussed. The bounds for all the real eigenvalues of the preconditioned matrix are provided, and the bounds for the real and imaginary parts of all the complex eigenvalues of the preconditioned matrix are also provided. The corresponding theoretical results of paper by Bergamaschi (2012) are improved. Numerical experiments are reported to confirm our theoretical results.