Realizing Suleimanova-type Spectra via Permutative Matrices

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Pietro Paparella


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 Sule耱manova is given via permutative matrices. A well-known result is strenghthened 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. The paper concludes by posing a problem.

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