Moore-Penrose Inverse of a Gram Matrix and Its Nonnegativity

被引：0
|
作者：
T. Kurmayya
K. C. Sivakumar
机构：
[1] Indian Institute of Technology Madras,Department of Mathematics
来源：
Journal of Optimization Theory and Applications | 2008年 / 139卷
关键词：
Moore-Penrose inverse; Gram matrix;
D O I：
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中图分类号：
学科分类号：
摘要：
Let M=[A  a] be a matrix of order m×n, where A∈ℝm×(n−1) and a∈ℝm is an m×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.
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页码：201 / 207
页数：6
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