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.

引用

页码：303 / 308

页数：6

共 8 条

[1] POSITIVE SEMIDEFINITE MATRICES - CHARACTERIZATION VIA CONICAL HULLS AND LEAST-SQUARES SOLUTION OF A MATRIX EQUATION [J].