Least-squares solutions of inverse problem for Hermitian generalized Hamiltonian matrices

被引：7
|
作者：
Zhang, ZZ [1 ]
Hu, XY
Zhang, L
机构：
[1] Hunan City Univ, Dept Math, Yiyang, Peoples R China
[2] Cent S Univ, Sch Math Sci, Changsha, Peoples R China
[3] Hunan Univ, Fac Math & Econometr, Changsha, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2004年 / 17卷 / 03期
基金：
中国国家自然科学基金;
关键词：
ceneralized Hamiltonian matrices; Hermitian generalized Hamiltonian matrices; optimal approximation; least-square solution;
D O I：
10.1016/S0893-9659(04)90067-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider least-square solutions of inverse problem for Hermitian generalized Hamiltonian matrices and their optimal approximation. We obtain a general expression of the least-square solution by using the singular value decomposition method. For any n x n complex matrix, we derive the representation of its unique optimal approximation in the least-square solutions set. (C) 2004 Elsevier Ltd. All rights reserved.
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页码：303 / 308
页数：6
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