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2014 Extremal Inverse Eigenvalue Problem for a Special Kind of Matrices
Zhibing Liu, Yeying Xu, Kanmin Wang, Chengfeng Xu
J. Appl. Math. 2014: 1-7 (2014). DOI: 10.1155/2014/513513

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.

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Zhibing Liu. Yeying Xu. Kanmin Wang. Chengfeng Xu. "Extremal Inverse Eigenvalue Problem for a Special Kind of Matrices." J. Appl. Math. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/513513

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010662
MathSciNet: MR3166770
Digital Object Identifier: 10.1155/2014/513513

Rights: Copyright © 2014 Hindawi

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