Extremal Inverse Eigenvalue Problem for a Special Kind of Matrices
Joint Authors
Liu, Zhibing
Xu, Chengfeng
Wang, Kanmin
Xu, Yeying
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-05
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We consider the following inverse eigenvalue problem: to construct a special kind of matrix (real symmetric doubly arrow matrix) from the minimal and maximal eigenvalues of all its leading principal submatrices.
The necessary and sufficient condition for the solvability of the problem is derived.
Our results are constructive and they generate algorithmic procedures to construct such matrices.
American Psychological Association (APA)
Liu, Zhibing& Xu, Yeying& Wang, Kanmin& Xu, Chengfeng. 2014. Extremal Inverse Eigenvalue Problem for a Special Kind of Matrices. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-477610
Modern Language Association (MLA)
Liu, Zhibing…[et al.]. Extremal Inverse Eigenvalue Problem for a Special Kind of Matrices. Journal of Applied Mathematics No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-477610
American Medical Association (AMA)
Liu, Zhibing& Xu, Yeying& Wang, Kanmin& Xu, Chengfeng. Extremal Inverse Eigenvalue Problem for a Special Kind of Matrices. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-477610
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477610
