Computational algorithms for computing the inverse of a square matrix, quasi-inverse of a non-square matrix and block matrices

被引：30

作者：

Najafi, H. Saberl

Solary, M. Shams

机构：

[1] Guilan Univ, Fac Sci, Dept Math, Rasht, Iran

[2] Guilan Univ, Ctr Comp, Rasht, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 183卷 / 01期

关键词：

linear systems; inverse matrix; quasi-inverse; block matrix; LDV decomposition;

D O I：

10.1016/j.amc.2006.05.108

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we have written out some methods to find the inverse of a non-singular matrix and also the quasi-inverse of a singular matrix. The corresponding algorithms have been used to solve the linear system of equations Ax = b as x = A(-1)b. A comparison table of the numerical results has been designed in each case to compare the implementation of the algorithms with each other. The important part of the paper is presenting a block matrix method for finding the inverse matrix. The block method finds the inverse matrix with a simple and easy algorithm. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：539 / 550

页数：12