Some iterative methods for solving the matrix equation Ax = b

Abstract

This paper reviews the salient features of a number of iterative methods for solving the matrix equation Ax = b, and includes a brief description of the calling sequences to Fortran subroutines written for the IBM 360/50 with an assessment of the computational efficiency of the different methods for low order full matrices. Some attention is given to the question of acceleration and the necessity for double precision arithmetic.