A new algorithm with maximal rate convergence to obtain inverse matrix

摘要

This paper introduces a new efficient algorithm to obtain the accurate inverse of a given nonsingular matrix with maximal rate of convergence. The method is performed efficiently based on accurate inversion of the diagonally dominant matrix which is made from the given matrix, where it should be inverted. The presented algorithm can be employed in any numerical method. (c) 2007 Elsevier Inc. All rights reserved.