A Family of higher-order convergent iterative methods for computing the Moore-Penrose inverse

被引：58

作者：

Chen, Haibin ^{[1
]}

Wang, Yiju ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Management Sci, Rizhao 276800, Shandong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 08期

关键词：

Moore-Penrose inverse; Iterative method; Higher-order convergence; MATRIX SQUARING ALGORITHM;

D O I：

10.1016/j.amc.2011.05.066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we extend the iterative method for computing the inner inverse of a matrix proposed in Li and Li [W.G. Li, Z. Li, A family of iterative methods for computing the approximate inverse of a square matrix and inner inverse of a non-square matrix, Applied Mathematics and Computation 215 (2010) 3433-3442] to compute the Moore-Penrose inverse of a matrix, and show that the generated sequence converges to the Moore-Penrose inverse of a matrix in a higher order. The performance of the method is tested on some randomly generated matrices. (C) 2011 Published by Elsevier Inc.

引用

页码：4012 / 4016

页数：5

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