In this paper we consider the problem of preconditioning symmetric positive definite matrices of the form Aα = A + αI where α > 0. We discuss how to cheaply modify an existing sparse approximate inverse preconditioner for A in order to obtain a precon- ditioner for Aα . Numerical experiments illustrating the performance of the proposed approaches are presented.
Benzi, M., Bertaccini, D. (2003). Approximate inverse preconditioning for shifted linear systems, 43(2), 231-244.
Approximate inverse preconditioning for shifted linear systems
BERTACCINI, DANIELE
2003-01-01
Abstract
In this paper we consider the problem of preconditioning symmetric positive definite matrices of the form Aα = A + αI where α > 0. We discuss how to cheaply modify an existing sparse approximate inverse preconditioner for A in order to obtain a precon- ditioner for Aα . Numerical experiments illustrating the performance of the proposed approaches are presented.File in questo prodotto:
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