Moore-Penrose inverse of a Gram matrix and its nonnegativity

被引：5

作者：

Kurmayya, T. ^{[1
]}

Sivakumar, K. C. ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2008年 / 139卷 / 01期

关键词：

Moore-Penrose inverse; Gram matrix;

D O I：

10.1007/s10957-008-9426-y

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

Let M = [A a] be a matrix of order m x n, where A epsilon Rmx(n-1) and a epsilon R-m is an m x 1 vector. In this article, we derive a formula for the Moore-Penrose inverse of M*M and obtain sufficient conditions for its nonnegativity. The results presented here generalize the ones known earlier.

引用

页码：201 / 207

页数：7

共 16 条

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