Optimization Problems of the Rank and Inertia Corresponding to a Hermitian Least-Squares Problem

被引：0
作者：
DAI Lifang [1 ]
LIANG Maolin [1 ]
WANG Sanfu [1 ]
机构：
[1] School of Mathematics and Statistics, Tianshui Normal University
来源：
Wuhan University Journal of Natural Sciences | 2015年 / 20卷 / 02期
关键词：
matrix equation; least-squares; Hermitian solution; rank; inertia;
D O I：
暂无
中图分类号：
O241.6 [线性代数的计算方法];
学科分类号：
070102 ;
摘要：
Generally, the least-squares problem can be solved by the normal equation. Based on the projection theorem, we propose a direct method to investigate the maximal and minimal ranks and inertias of the least-squares solutions of matrix equation AXB= C under Hermitian constraint, and the corresponding formulas for calculating the rank and inertia are derived.
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收藏
页码：101 / 105
页数：5
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