Symmetric stochastic inverse eigenvalue problem

被引：0
|
作者：
Zhang, Quanbing [1 ]
Xu, Changqing [2 ]
Yang, Shangjun [3 ]
机构：
[1] Anhui Univ, Minist Educ, Key Lab Intelligent Comp & Signal Proc, Hefei 230039, Anhui, Peoples R China
[2] Suzhou Univ Sci & Technol, Dept Appl Math, Suzhou, Jiangsu, Peoples R China
[3] Anhui Univ, Sch Math Sci, Hefei 230039, Anhui, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年
基金：
中国国家自然科学基金;
关键词：
inverse eigenvalue problem; symmetric stochastic inverse eigenvalue problem; typical orthogonal matrix; MATRICES;
D O I：
10.1186/s13660-015-0698-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Firstly we study necessary and sufficient conditions for the constant row sums symmetric inverse eigenvalue problem to have a solution and sufficient conditions for the symmetric stochastic inverse eigenvalue problem to have a solution. Then we introduce the concept of general solutions for the symmetric stochastic inverse eigenvalue problem and the concept of totally general solutions for the 3 x 3 symmetric stochastic inverse eigenvalue problem. Finally we study the necessary and sufficient conditions for the symmetric stochastic inverse eigenvalue problems of order 3 to have general solutions, and the necessary and sufficient conditions for the symmetric stochastic inverse eigenvalue problems of order 3 to have a totally general solution.
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收藏
页数：17
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