Extremal Inverse Eigenvalue Problem for a Special Kind of Matrices. (5th February 2014)

• Record Type: Journal Article
• Authors: Liu, Zhibing; Xu, Yeying; Wang, Kanmin; Xu, Chengfeng
• Other Names: Shen Hui-Shen Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-02-05
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/513513
• Languages: English
• ISSNs: 1110-757X

Abstract

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.