Semi-regularized Hermitian and skew-Hermitian splitting preconditioning for saddle-point linear systems

Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06) Applications to the sciences (65Z05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Cites Work

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Two improvements of the deteriorated PSS preconditioner for generalized saddle point problems
On parameterized inexact Uzawa methods for generalized saddle point problems
Regularized DPSS preconditioners for non-Hermitian saddle point problems
Block triangular preconditioners for symmetric saddle-point problems
Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems
Regularized DPSS preconditioners for generalized saddle point linear systems
On the regularization matrix of the regularized DPSS preconditioner for non-Hermitian saddle-point problems
Regularized HSS iteration methods for saddle-point linear systems
New preconditioners for saddle point problems
On generalized successive overrelaxation methods for augmented linear systems
An Iterative Method with Variable Relaxation Parameters for Saddle-Point Problems
Block-triangular preconditioners for PDE-constrained optimization
An Iterative Method for Solving Finite Difference Approximations to the Stokes Equations
Structured preconditioners for nonsingular matrices of block two-by-two structures
Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems
Numerical solution of saddle point problems
Constraint Preconditioners for Symmetric Indefinite Matrices
Block-Triangular Preconditioners for Saddle Point Problems with a Penalty Term
Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
Constraint Preconditioning for Indefinite Linear Systems
Optimal Preconditioning for Raviart--Thomas Mixed Formulation of Second-Order Elliptic Problems
A Preconditioner for Generalized Saddle Point Problems
Scaled norm minimization method for computing the parameters of the HSS and the two‐parameter HSS preconditioners
Krylov Subspace Methods for Saddle Point Problems with Indefinite Preconditioning
Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations
Preconditioners for state-constrained optimal control problems with Moreau-Yosida penalty function
Matrix Analysis and Computations
Regularized HSS iteration methods for stabilized saddle-point problems
Preconditioning methods for linear systems arising in constrained optimization problems
On Inexact Preconditioners for Nonsymmetric Matrices
A Relaxed HSS Preconditioner for Saddle Point Problems from Meshfree Discretization
Approximate Factorization Constraint Preconditioners for Saddle-Point Matrices
Optimal Parameter in Hermitian and Skew-Hermitian Splitting Method for Certain Two-by-Two Block Matrices
SOR-like methods for augmented systems