Extremal inverse eigenvalue problem for symmetric doubly arrow matrices |
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Authors: | Zhibing Liu Kanmin Wang Chengfeng Xu |
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Institution: | 1. Department of Mathematics, Jiujiang University, Jiujiang, 332005, China
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Abstract: | In this paper, we consider the following inverse eigenvalue problem: to construct a real symmetric doubly arrow matrix A 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. We also give a necessary and sufficient condition in order that the constructed matrices can be nonnegative. Our results are constructive and they generate algorithmic procedures to construct such matrices. |
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