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Mathematics
Article . 2020 . Peer-reviewed
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Mathematics
Article
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Mathematics
Article . 2020
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Nonnegative Inverse Elementary Divisors Problem for Lists with Nonnegative Real Parts

Authors: Hans Nina; Hector Flores Callisaya; H. Pickmann-Soto; Jonnathan Rodriguez;

Nonnegative Inverse Elementary Divisors Problem for Lists with Nonnegative Real Parts

Abstract

In this paper, sufficient conditions for the existence and construction of nonnegative matrices with prescribed elementary divisors for a list of complex numbers with nonnegative real part are obtained, and the corresponding nonnegative matrices are constructed. In addition, results of how to perturb complex eigenvalues of a nonnegative matrix while keeping its elementary divisors and its nonnegativity are derived.

Keywords

nonnegative matrices, Jordan canonical form, QA1-939, nonnegative inverse elementary divisors problem, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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