Solvability conditions for algebra inverse eigenvalue problem over set of anti-Hermitian generalized anti-Hamiltonian matrices  

作　　者：ZHANG Zhong-zhi HAN Xu-li 

机构地区：[1]School of Mathematics and Computational Science, Central South University, Changsha 410083, China [2]Department of Mathematics, Dongguan University of Technology, Dongguan 523000, China School of Mathematics and Computational Science, Central South University, Changsha 410083, China

出　　处：《Journal of Central South University of Technology》2005年第z1期294-297,共4页中南工业大学学报（英文版）

基　　金：Project(10171031) supported by the National Natural Science Foundation of China

摘　　要：By using the characteristic properties of the anti-Hermitian generalized anti-Hamiltonian matrices, we prove some necessary and sufficient conditions of the solvability for algebra inverse eigenvalue problem of anti-Hermitian generalized anti-Hamiltonian matrices, and obtain a general expression of the solution to this problem. By using the properties of the orthogonal projection matrix, we also obtain the expression of the solution to optimal approximate problem of an n× n complex matrix under spectral restriction.

关 键 词：anti-Hermitian generalized anti-Hamiltonian matrix ALGEBRA INVERSE EIGENVALUE problem optimal approximation 

分 类 号：O242.8[理学—计算数学]