An accelerated iterative method for computing weighted Moore-Penrose inverse

被引：19

作者：

Soleymani, F. ^{[1
]}

Stanimirovic, Predrag S. ^{[2
]}

Ullah, Malik Zaka ^{[3
]}

机构：

[1] Islamic Azad Univ, Zahedan Branch, Dept Math, Zahedan, Iran

[2] Univ Nis, Fac Sci & Math, Nish 18000, Serbia

[3] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 222卷

关键词：

Schulz method; Weighted Moore-Penrose inverse; Weighted singular value decomposition; Iterative methods; Initial approximation; IMPROVED NEWTON ITERATION; GENERALIZED INVERSES; REPRESENTATION; ALGORITHM; MATRIX;

D O I：

10.1016/j.amc.2013.07.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The goal of this paper is to present an accelerated iterative method for computing weighted Moore-Penrose inverse. Analysis of convergence is included to show that the proposed scheme has sixth-order convergence. Using a proper initial matrix, a sequence of iterates will be produced, which is convergent to the weighted Moore-Penrose inverse. Numerical experiments are reported to show the efficiency of the new method. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：365 / 371

页数：7

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