Add to ORKGAbstract. We introduce a new preconditioning technique for the iterative solution of saddle point linear systems with (1,1) blocks that have a high nullity. The preconditioners are block diagonal and are based on augmentation, using symmetric positive denite weight matrices. If the nullity is equal to the number of constraints, the precon-ditioned matrices have precisely two distinct eigenvalues, giving rise to immediate convergence of preconditioned MINRES. Numerical examples illustrate our analytical ndings. Key words. saddle point linear systems, high nullity, augmentation, block diagonal preconditioners, Krylov subspace iterative solver
The null-space method is a technique that has been used for many years to reduce a saddle point syst...
The problem of finding good preconditioners for the numerical solution of a certain important class ...
The problem of finding good preconditioners for the numerical solution of a certain important class ...
AbstractIn this paper, two preconditioners based on augmentation are introduced for the solution of ...
We investigate the cost of preconditioning when solving large sparse saddlepoint linear systems wit...
We investigate the solution of linear systems of saddle point type with an indefinite (1, 1) block b...
We investigate a preconditioning technique applied to the problem of solving linear systems arising ...
Saddle point problems arise frequently in many applications in science and engineering, including co...
Abstract. The null-space method is a technique that has been used for many years to reduce a saddle ...
In this paper we consider the solution of linear systems of saddle point type by preconditioned Kryl...
The problem of finding good preconditioners for the numerical solution of a certain important class ...
The problem of finding good preconditioners for the numerical solution of a certain important class ...
The problem of finding good preconditioners for the numerical solution of a certain important class ...
The problem of finding good preconditioners for the numerical solution of a certain important class ...
The problem of finding good preconditioners for the numerical solution of a certain important class ...
The null-space method is a technique that has been used for many years to reduce a saddle point syst...
The problem of finding good preconditioners for the numerical solution of a certain important class ...
The problem of finding good preconditioners for the numerical solution of a certain important class ...
AbstractIn this paper, two preconditioners based on augmentation are introduced for the solution of ...
We investigate the cost of preconditioning when solving large sparse saddlepoint linear systems wit...
We investigate the solution of linear systems of saddle point type with an indefinite (1, 1) block b...
We investigate a preconditioning technique applied to the problem of solving linear systems arising ...
Saddle point problems arise frequently in many applications in science and engineering, including co...
Abstract. The null-space method is a technique that has been used for many years to reduce a saddle ...
In this paper we consider the solution of linear systems of saddle point type by preconditioned Kryl...
The problem of finding good preconditioners for the numerical solution of a certain important class ...
The problem of finding good preconditioners for the numerical solution of a certain important class ...
The problem of finding good preconditioners for the numerical solution of a certain important class ...
The problem of finding good preconditioners for the numerical solution of a certain important class ...
The problem of finding good preconditioners for the numerical solution of a certain important class ...
The null-space method is a technique that has been used for many years to reduce a saddle point syst...
The problem of finding good preconditioners for the numerical solution of a certain important class ...
The problem of finding good preconditioners for the numerical solution of a certain important class ...