Extremal Inverse Eigenvalue Problem for a Special Kind of Matrices | Zendy

Zhibing Liu | Zendy; Yeying Xu | Zendy; Kanmin Wang | Zendy; Chengfeng Xu | Zendy

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Extremal Inverse Eigenvalue Problem for a Special Kind of Matrices

Author(s) -

Zhibing Liu,

Yeying Xu,

Kanmin Wang,

Chengfeng Xu

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/513513

Subject(s) - eigenvalues and eigenvectors , mathematics , constructive , block matrix , inverse , matrix (chemical analysis) , construct (python library) , divide and conquer eigenvalue algorithm , inverse iteration , pure mathematics , algebra over a field , computer science , geometry , physics , materials science , process (computing) , quantum mechanics , composite material , programming language , operating system

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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