Interval iterative methods for computing Moore-Penrose inverse

被引：11
作者：
Zhang, Xian
Cai, Jianfeng
Wei, Yimin [1 ]
机构：
[1] Fudan Univ, Minist Educ, Key Lab Mat Nonlinear Sci, Shanghai, Peoples R China
[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[3] Chinese Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 183卷 / 01期
基金：
中国国家自然科学基金;
关键词：
interval method; Newton iteration; Moore-Penrose inverse;
D O I：
10.1016/j.amc.2006.05.098
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we import interval method to the iteration for computing Moore-Penrose inverse of the full row (or column) rank matrix. Through modifying the classical Newton iteration by interval method, we can get better numerical results. The convergence of the interval iteration is proven. We also give some numerical examples to compare interval iteration with classical Newton iteration. (c) 2006 Elsevier Inc. All rights reserved.
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页码：522 / 532
页数：11
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