Computational algorithms for computing the inverse of a square matrix, quasi-inverse of a non-square matrix and block matrices
Computational algorithms for computing the inverse of a square matrix, quasi-inverse of a non-square matrix and block matrices
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DOI：
10.1016/j.amc.2006.05.108
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发表时间：
2006-12
期刊：
影响因子：
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通讯作者：
H. Najafi;M. S. Solary
中科院分区：
文献类型：
--
作者：
H. Najafi;M. S. Solary
本文给出了非奇异矩阵的逆矩阵和奇异矩阵的拟逆矩阵的一些求法。相应的算法已被用于求解线性方程组Ax=B为x=A− 1 B。在每种情况下的数值结果的比较表已被设计，以比较彼此的算法的实施。本文的重点是提出了一种求逆矩阵的分块矩阵法。分块法求逆矩阵的算法简单易行。
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−1b. 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.