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.

引用

页数：17

共 50 条

[21] An Inverse Eigenvalue Problem for Symmetric Doubly Arrow Matrices
Xu, Chengfeng
Liu, Zhibing
Wang, Kanming
2010 INTERNATIONAL CONFERENCE ON INFORMATION, ELECTRONIC AND COMPUTER SCIENCE, VOLS 1-3, 2010, : 629 - 632
[22] Symmetric inverse eigenvalue vibration problem and its application
Starek, L
Inman, DJ
MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2001, 15 (01) : 11 - 29
[23] An Iterative Method for the Symmetric Solution of an Inverse Eigenvalue Problem
Guo, Konghua
Hu, Xiyan
Zhang, Lei
ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL II: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 87 - 90
[24] A kind of inverse eigenvalue problem for symmetric arrowhead matrices
Peng, Juan
Hu, Xiyan
Zhang, Lei
Advances in Matrix Theory and Applications, 2006, : 158 - 160
[25] An inverse problem for symmetric doubly stochastic matrices
Mourad, B
INVERSE PROBLEMS, 2003, 19 (04) : 821 - 831
[26] An inverse eigenvalue problem in symmetric sparse quadratic model updating
Suman Rakshit
Computational and Applied Mathematics, 2021, 40
[27] An inverse eigenvalue problem in symmetric sparse quadratic model updating
Rakshit, Suman
COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (01):
[28] A symmetric inverse eigenvalue problem in structural dynamic model updating
Yuan, Yongxin
APPLIED MATHEMATICS AND COMPUTATION, 2009, 213 (02) : 516 - 521
[29] Symmetric Tridiagonal Partial Quadratic Inverse Eigenvalue Problem (SPQIEP)
Rakshit, Suman
Khare, Swanand R.
Datta, Biswa Nath
2018 FOURTH INTERNATIONAL CONFERENCE ON POWER, SIGNALS, CONTROL AND COMPUTATION (EPSCICON), 2018,
[30] The inverse eigenvalue problem for symmetric anti-bidiagonal matrices
Holtz, O
LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 408 : 268 - 274

← 1 2 3 4 5 →