Modified ST algorithms and numerical experiments
Applied Numerical Mathematics - Special issue: 2nd international workshop on numerical linear algebra, numerical methods for partial differential equations and optimization
Preconditioning Indefinite Systems in Interior Point Methods for Optimization
Computational Optimization and Applications
Inexact constraint preconditioners for linear systems arising in interior point methods
Computational Optimization and Applications
Stopping criteria for inner iterations in inexact potential reduction methods: a computational study
Computational Optimization and Applications
Computational Optimization and Applications
Using constraint preconditioners with regularized saddle-point problems
Computational Optimization and Applications
Computational Optimization and Applications
Inner solvers for interior point methods for large scale nonlinear programming
Computational Optimization and Applications
Computational Optimization and Applications
Computational Optimization and Applications
Limiting accuracy of segregated solution methods for nonsymmetric saddle point problems
Journal of Computational and Applied Mathematics
Mixed Constraint Preconditioners for the iterative solution of FE coupled consolidation equations
Journal of Computational Physics
Preconditioning indefinite systems in interior point methods for large scale linear optimisation
Optimization Methods & Software
Constraint Schur complement preconditioners for nonsymmetric saddle point problems
Applied Numerical Mathematics
Optimization of the parameterized Uzawa preconditioners for saddle point matrices
Journal of Computational and Applied Mathematics
Computational Optimization and Applications
A Subspace Minimization Method for the Trust-Region Step
SIAM Journal on Optimization
Preconditioning Saddle-Point Systems with Applications in Optimization
SIAM Journal on Scientific Computing
Optimal Solvers for PDE-Constrained Optimization
SIAM Journal on Scientific Computing
A multigrid method for constrained optimal control problems
Journal of Computational and Applied Mathematics
A Relaxed Dimensional Factorization preconditioner for the incompressible Navier-Stokes equations
Journal of Computational Physics
On HSS-based constraint preconditioners for generalized saddle-point problems
Numerical Algorithms
Journal of Computational and Applied Mathematics
Parallel inexact constraint preconditioners for saddle point problems
Euro-Par'11 Proceedings of the 17th international conference on Parallel processing - Volume Part II
Eigenvalue Estimates for Preconditioned Nonsymmetric Saddle Point Matrices
SIAM Journal on Matrix Analysis and Applications
Substructure preconditioners for a class of structured linear systems of equations
Mathematical and Computer Modelling: An International Journal
A preconditioning technique for Schur complement systems arising in stochastic optimization
Computational Optimization and Applications
A Robust Two-Level Incomplete Factorization for (Navier-)Stokes Saddle Point Matrices
SIAM Journal on Matrix Analysis and Applications
Constraint preconditioners for solving singular saddle point problems
Journal of Computational and Applied Mathematics
All-at-once solution of time-dependent Stokes control
Journal of Computational Physics
Indefinite block triangular preconditioner for symmetric saddle point problems
Calcolo: a quarterly on numerical analysis and theory of computation
On generalized parameterized inexact Uzawa method for a block two-by-two linear system
Journal of Computational and Applied Mathematics
Semi-convergence analysis of Uzawa methods for singular saddle point problems
Journal of Computational and Applied Mathematics
Eigenvalue estimates of an indefinite block triangular preconditioner for saddle point problems
Journal of Computational and Applied Mathematics
Prescribing the behavior of early terminating GMRES and Arnoldi iterations
Numerical Algorithms
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The problem of finding good preconditioners for the numerical solution of indefinite linear systems is considered. Special emphasis is put on preconditioners that have a 2 × 2 block structure and that incorporate the (1,2) and (2,1) blocks of the original matrix. Results concerning the spectrum and form of the eigenvectors of the preconditioned matrix and its minimum polynomial are given. The consequences of these results are considered for a variety of Krylov subspace methods. Numerical experiments validate these conclusions.