Extreme Spectra Realization by Nonsymmetric Tridiagonal and Nonsymmetric Arrow Matrices

H. Pickmann-Soto, S. Arela-Pérez, Juan C. Egaña and Ricardo L. Soto

Mathematical Problems in Engineering, 2019, vol. 2019, 1-7

Abstract:

We consider the following inverse extreme eigenvalue problem: given the real numbers and the real vector , to construct a nonsymmetric tridiagonal matrix and a nonsymmetric arrow matrix such that are the minimal and the maximal eigenvalues of each one of their leading principal submatrices, and is an eigenpair of the matrix. We give sufficient conditions for the existence of such matrices. Moreover our results generate an algorithmic procedure to compute a unique solution matrix.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:3459017

DOI: 10.1155/2019/3459017

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