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Convergence of certain incomplete block factorization splittings
Authors:L Yu Kolotilina
Abstract:This note fills a logical gap in the theory of incomplete block factorizations of the generalized SSOR type. Namely, it is shown that using the so-called factorized sparse approximate inverses it is possible to preserve the symmetry of a given Stieltjes or positive definite H-matrix A in its incomplete block factorization K and to insure simultaneously the convergence of the related splitting A=K−R. Bibliography: 3 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 219, 1994, pp. 42–52. Translated by L. Yu. Kolotilina.
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