Realizing Suleimanova-type Spectra via Permutative Matrices

Citation data:

Electronic Journal of Linear Algebra, ISSN: 1081-3810, Vol: 31, Issue: 1, Page: 306-312

Publication Year:
2016
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Repository URL:
http://repository.uwyo.edu/ela/vol31/iss1/22
DOI:
10.13001/1081-3810.3101
Author(s):
Paparella, Pietro
Publisher(s):
University of Wyoming Libraries
Tags:
Mathematics; Suleimanova spectrum; permutative matrix; real nonnegative inverse eigenvalue problem.
article description
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 Suleĭmanova 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.