Realizing suleimanova spectra via permutative matrices

Citation data:

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

Publication Year:
2016
Usage 618
Downloads 345
Abstract Views 272
Link-outs 1
Captures 2
Readers 2
Mentions 2
Q&A Site Mentions 2
Citations 10
Citation Indexes 10
Repository URL:
http://repository.uwyo.edu/ela/vol31/iss1/22; http://arxiv.org/abs/1509.00823
DOI:
10.13001/1081-3810.3101
Author(s):
Paparella, Pietro
Publisher(s):
University of Wyoming Libraries
Tags:
Mathematics; Mathematics - Rings and Algebras; 15A18, 15A29, 15B99; 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.