In this paper we consider the problem of preconditioning symmetric positive definite matrices of the form (A)α = A + αI where α > 0. We discuss how to cheaply modify an existing sparse approximate inverse preconditioner for A in order to obtain a preconditioner for Aα. Numerical experiments illustrating the performance of the proposed approaches are presented.

Approximate inverse preconditioning for shifted linear systems

Benzi, Michele;
2003

Abstract

In this paper we consider the problem of preconditioning symmetric positive definite matrices of the form (A)α = A + αI where α > 0. We discuss how to cheaply modify an existing sparse approximate inverse preconditioner for A in order to obtain a preconditioner for Aα. Numerical experiments illustrating the performance of the proposed approaches are presented.
2003
BIT
Preconditioning; Shifted linear systems; Sparse approximate inverses; Software; Computer Networks and Communications; Computational Mathematics; Applied Mathematics
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/75234
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