Some Properties of Three Kinds of Generalized Inverses(Chinese)

Journal of East China Normal University(Natural Sc ›› 2006, Vol. 2006 ›› Issue (3): 26-31.

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Some Properties of Three Kinds of Generalized Inverses(Chinese)

ZHU Chao, CAO Li-qiong, CHEN Guo-liang

Department of Mathematics East China Normal University, Shanghai 200062, China

Received:2004-10-08 Revised:2005-02-21 Online:2006-05-25 Published:2006-05-25
Contact: CHEN Guo-liang

Abstract

Abstract: This paper investigated three kinds of widely used generalized inverses of matrices: they are {1,3} and {1,4} inverses, and generalized Bott-Duffin inverse of L-zero matrices. Some new expressions and properties are obtained; and examples are given to illustrate their applications in finding least-square solutions and minimum problem solutions.

Key words: 3} inverse, {1, 4} inverse, generalized Bott-Duffin inverse, L-zero matrices, {1, 3} inverse, {1, 4} inverse, generalized Bott-Duffin inverse, L-zero matrices

CLC Number:

O151.21

ZHU Chao;CAO Li-qiong;CHEN Guo-liang. Some Properties of Three Kinds of Generalized Inverses(Chinese)[J]. Journal of East China Normal University(Natural Sc, 2006, 2006(3): 26-31.

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Some Properties of Three Kinds of Generalized Inverses(Chinese)

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