On a saddle point problem arising from magneto-elastic coupling

Generalized iterative methods for solving double saddle point problem

In this paper, we develop some stationary iterative schemes in block forms for solving double saddle point problem. To this end, we first generalize the Jacobi iterative method and study its convergence under certain condition. Moreover, using a relaxation parameter, the weighted version  of the Jacobi method together with its convergence analysis are considered. Furthermore, we extend a method...

Augmentation Preconditioning for Saddle Point Systems Arising from Interior Point Methods

We investigate a preconditioning technique applied to the problem of solving linear systems arising from primal-dual interior point algorithms in linear and quadratic programming. The preconditioner has the attractive property of improved eigenvalue clustering with increased ill-conditioning of the (1, 1) block of the saddle point matrix. We demonstrate performance of the preconditioner on prob...

On Solving Non-symmetric Saddle-point Systems Arising from Fictitious Domain Approaches∗

where the diagonal block A is an (n × n) matrix, the off-diagonal blocks B1 and B2 are (m× n) matrices with full row-rank and vectors f , g are of order n, m, respectively. Our contribution is inspired by a class of saddle-point systems arising from fictitious domain formulations of PDEs [3, 4]. Therefore we will be interested especially in systems (1) with n large, A singular and B1, B2 sparse...

On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers

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Preconditioners for Saddle Point Problems Arising in Computational Fluid Dynamics