On the Inverse Eigenvalue Problem for Irreducible Doubly Stochastic Matrices of Small Orders
Joint Authors
Zhang, Quanbing
Xu, Changqing
Yang, Shangjun
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-04
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The inverse eigenvalue problem is a classical and difficult problem in matrix theory.
In the case of real spectrum, we first present some sufficient conditions of a real r-tuple (for r = 2 ; 3; 4; 5) to be realized by a symmetric stochastic matrix.
Part of these conditions is also extended to the complex case in the case of complex spectrum where the realization matrix may not necessarily be symmetry.
The main approach throughout the paper in our discussion is the specific construction of realization matrices and the recursion when the targeted r-tuple is updated to a ( r + 1 ) -tuple.
American Psychological Association (APA)
Zhang, Quanbing& Xu, Changqing& Yang, Shangjun. 2014. On the Inverse Eigenvalue Problem for Irreducible Doubly Stochastic Matrices of Small Orders. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1015026
Modern Language Association (MLA)
Zhang, Quanbing…[et al.]. On the Inverse Eigenvalue Problem for Irreducible Doubly Stochastic Matrices of Small Orders. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1015026
American Medical Association (AMA)
Zhang, Quanbing& Xu, Changqing& Yang, Shangjun. On the Inverse Eigenvalue Problem for Irreducible Doubly Stochastic Matrices of Small Orders. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1015026
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015026