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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