On the Relation between the AINV and the FAPINV Algorithms
نویسندگان
چکیده
The approximate inverse AINV and the factored approximate inverse FAPINV are two known algorithms in the field of preconditioning of linear systems of equations. Both of these algorithms compute a sparse approximate inverse of matrix A in the factored form and are based on computing two sets of vectors which are A-biconjugate. The AINV algorithm computes the inverse factors W and Z of a matrix independently of each other, as opposed to the AINV algorithm, where the computations of the inverse factors are done independently. In this paper, we show that, without any dropping, removing the dependence of the computations of the inverse factors in the FAPINV algorithm results in the AINV algorithm.
منابع مشابه
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ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2009 شماره
صفحات -
تاریخ انتشار 2009