[1]张秀英,冯宇.矩阵方程AXAH=B的Hermitian R -反对称最小二乘解[J].延边大学学报(自然科学版),2018,44(04):310-314.
　ZHANG Xiuying,FENG Yu.Least-squares solutions for Hermitian R-skew symmetricmatrices of matrix equation AXAH=B[J].Journal of Yanbian University,2018,44(04):310-314.
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矩阵方程AXAH=B的Hermitian R -反对称最小二乘解

《延边大学学报(自然科学版)》[ISSN:1004-4353/CN:22-1191/N] 卷: 第44卷 期数: 2018年04期 页码: 310-314 栏目: 基础科学研究 出版日期: 2018-12-30
Title:
Least-squares solutions for Hermitian R-skew symmetric matrices of matrix equation AXAH=B
作者:
张秀英1;  冯宇2
( 1.长春师范大学 国际教师教育学院, 吉林 长春 130032; 2.延边大学 信息化中心,吉林 延吉 133002 )
Author(s):
ZHANG Xiuying1;  FENG Yu2
( 1.International Education Teachers School, Changchun Normal University, Changchun 130032, China; 2.Information Center of Yanbian University, Yanji 133002, China )
关键词:
最小二乘解;  极小范数;  Hermitian R-反对称;  奇异值分解
Keywords:
least-squares solutions;  minimal norm;  Hermitian R -skew symmetric;  singular value decomposition
分类号:
O241.2
文献标志码:
A
摘要:
研究了复矩阵方程AXAH=B的Hermitian R-反对称形式的最小二乘解.首先利用奇异值分解得到了Hermitian R-反对称最小二乘解的解析表达式,然后利用商奇异值分解得到了极小范数最小二乘解的一般形式.
Abstract:
Least-squares solutions to matrix equation AXAH=B in the set of Hermitian R-skew symmetric matrices are considered. Using SVD, analytic expressions for least-squares solutions are obtained, then general form for the minimal norm least-squares solutions is derived by Q -SVD.

参考文献/References:


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备注/Memo

收稿日期: 2018-06-24 基金项目: 长春师范大学自然科学研究项目(长师[2016]第03号)
作者简介: 张秀英(1984—),女,助教,研究方向为矩阵分析与计算.

更新日期/Last Update: 2018-12-30