摘要
研究了关于一致稳定矩阵的约束逆特征值问题及其最佳逼近问题.利用矩阵的奇异值分解,给出了一致稳定矩阵的约束逆特征值问题有解的充要条件以及解的一般表达式,最后得到了相应的最佳逼近问题的解的表达式.
In this paper,a kind of constrained inverse eigenvalue problem and associated optimal approximation problem for uniform stable matrices are studied. Based on the singular value decomposition,the sufficient and necessary conditions of the solvability and the general solutions of the constrained inverse eigenvalue problem are presented. Finally,the expression of the solution for the optimal approximation problem is obtained.
出处
《哈尔滨师范大学自然科学学报》
CAS
2016年第2期33-35,52,共4页
Natural Science Journal of Harbin Normal University
基金
湖南省教育厅资助科研项目(15C0120)
关键词
一致稳定矩阵
约束逆特征值
最佳逼近问题
Uniform Stable Matrix
Constrained Inverse Eigenvalue
Optimal Approximation Problem
