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arXiv · 1509.00823

Realizing Suleimanova Spectra via Permutative Matrices

Pietro Paparella
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Abstract

A permutative matrix is a square matrix such that every row is a permutation of the first row. A constructive version of a result attributed to Suleimanova is given via permutative matrices. In addition, we strengthen a well-known result by showing that all realizable spectra containing at most four elements can be realized by a permutative matrix or by a direct sum of permutative matrices. We conclude by posing a problem.

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Pietro Paparella. 2015-12-24. Realizing Suleimanova Spectra via Permutative Matrices. https://doi.org/10.13001/1081-3810.3101

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