Constructive methods for spectra with three nonzero elements in the nonnegative inverse eigenvalue problem

2017/01/17 by Anthony Cronin, Cronin, Anthony
Computer Science · Engineering · Mathematics · #Matrix Theory and Algorithms #Numerical methods in inverse problems #Optical Polarization and Ellipsometry #math.RA

paper · pdf · doi:10.48550/arxiv.1701.04708

13 pages, 0 figures

arxiv created 2017/01/17 · arxiv updated 2017/01/18

Abstract

We present and compare three constructive methods for realizing non-real spectra with three nonzero elements in the nonnegative inverse eigenvalue problem. We also provide some necessary conditions for realizability and numerical examples. In particular, we utilise the companion matrix.

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