A New High-Order Stable Numerical Method for Matrix Inversion

被引：1
作者：
Haghani, F. Khaksar [1 ]
Soleymani, F. [2 ]
机构：
[1] Islamic Azad Univ, Shahrekord Branch, Dept Math, Shahrekord, Iran
[2] Islamic Azad Univ, Zahedan Branch, Dept Math, Zahedan, Iran
来源：
SCIENTIFIC WORLD JOURNAL | 2014年
关键词：
MOORE-PENROSE INVERSE; APPROXIMATE INVERSE; ITERATIVE METHOD;
D O I：
10.1155/2014/830564
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A stable numerical method is proposed for matrix inversion. The new method is accompanied by theoretical proof to illustrate twelfth-order convergence. A discussion of how to achieve the convergence using an appropriate initial value is presented. The application of the new scheme for finding Moore-Penrose inverse will also be pointed out analytically. The efficiency of the contributed iterative method is clarified on solving some numerical examples.
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页数：10
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