Topics in matrix analysis
Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
A preconditioned iterative method for saddlepoint problems
SIAM Journal on Matrix Analysis and Applications
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
Preconditioning for the Steady-State Navier--Stokes Equations with Low Viscosity
SIAM Journal on Scientific Computing
A Note on Preconditioning for Indefinite Linear Systems
SIAM Journal on Scientific Computing
A Note on Preconditioning Nonsymmetric Matrices
SIAM Journal on Scientific Computing
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Fast uzawa algorithm for generalized saddle point problems
Applied Numerical Mathematics
Block triangular preconditioners for symmetric saddle-point problems
Applied Numerical Mathematics - Numerical algorithms, parallelism and applications
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
Eigenvalue estimates of an indefinite block triangular preconditioner for saddle point problems
Journal of Computational and Applied Mathematics
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In this paper we discuss the spectral properties and the computational performance of a positive stable block triangular preconditioner for the solution of the general symmetric saddle point problem. We will show that the eigenvalues of the preconditioned matrix are all real and provide estimates for the interval containing these real eigenvalues. Numerical experiments of a model Stokes problem are presented.