Title
Extremal Inverse Eigenvalue Problem for a Special Kind of Matrices.
Abstract
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.
Year
DOI
Venue
2014
10.1155/2014/513513
JOURNAL OF APPLIED MATHEMATICS
Field
DocType
Volume
Inverse,Mathematical optimization,Mathematical analysis,Matrix (mathematics),Constructive,Divide-and-conquer eigenvalue algorithm,Mathematics,Eigenvalues and eigenvectors,Block matrix
Journal
2014
Issue
ISSN
Citations 
null
1110-757X
0
PageRank 
References 
Authors
0.34
4
4
Name
Order
Citations
PageRank
Zhibing Liu131.54
Yeying Xu200.34
Kanmin Wang331.20
Chengfeng Xu401.01