2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/38496This 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.21 pages, 5 figuresHigh Energy Physics - LatticeApproximation of the determinant of large sparse symmetric positive definite matricestext