Inverse problem for symmetric nonnegative definite matrices under submatrix constraint

被引：0
|
作者：
College of Mathematics and Econometrics, Hunan Univ, Changsha 410082, China [1 ]
机构：
来源：
Hunan Daxue Xuebao | 2006年 / 5卷 / 129-131期
关键词：
Control theory - Eigenvalues and eigenfunctions - Matrix algebra - Structural design;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper discussed the necessary and sufficient conditions for the existence of symmetric nonnegative definite solutions of a matrix inverse problem with a submatrix constraint. The expressions of the general solutions under solvable case were obtained. Furthermore, the results were applied to the relative inverse eigenvalue problem, and the minimum norm solution for the inverse eigenvalue problem was presented.
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