Approximation of the determinant of large sparse symmetric positive definite matrices

Details Approximation of the determinant of large sparse symmetric positive definite matrices Approximation of the determinant of large sparse symmetric positive definite matrices

2000-08-10

arxiv.org/abs/hep-lat/0008007v1

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages, 5 figures

Scientific paper

This paper is concerned with the problem of approximating the determinant of A for a large sparse symmetric positive definite matrix A. It is shown that an efficient solution of this problem is obtained by using a sparse approximate inverse of A. The method is explained and theoretical properties are discussed. A posteriori error estimation techniques are presented. Furthermore, results of numerical experiments are given which illustrate the performance of this new method.

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