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Keywords

Suleimanova spectrum, permutative matrix, real nonnegative inverse eigenvalue problem.

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 Sule˘ımanova 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.

abs_vol31_pp306-312.pdf (22 kB)
Abstract

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