A program generator for the incomplete cholesky conjugate gradient (ICCG) method with a symmetrizing preprocessor

Abstract This paper is an extension of our previous paper "A program generator for the Incomplete LU-decomposition-Conjugate Gradient (ILUCG) method" which appeared in Computer Physics Communications. In that paper we presented a generator program which produced a code package to solve the system of equations Ax = bb, where A is an arbitrary nonsingular matrix, by the ILUCG method. In the present paper we offer an alternative generator program which produces a code package applicable to the case where... Title of program: GENIC Catalogue Id: ABSF_v1_0 Nature of problem The program generator GENIC and the resultant Incomplete Cholesky Conjugate Gradient (ICCG) solver package SOLIC are applicable to a wide range of physical problems which require the solution of a large sparse system of linear equations: Ax = b where A is a symmetric and positive definite square matrix of rank N. It is also desirable that A be reasonably diagonally dominant, for otherwise the incomplete decomposition used here may be a poor approximation of the complete decomposition and in the ... Versions of this program held in the CPC repository in Mendeley Data ABSF_v1_0; GENIC; 10.1016/0010-4655(81)90077-1 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)