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dc.contributor.author |
Attas, K. |
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dc.contributor.author |
Boussaïri, A. |
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dc.contributor.author |
Zaidi, M. |
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dc.date.accessioned |
2023-03-12T17:58:56Z |
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dc.date.available |
2023-03-12T17:58:56Z |
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dc.date.issued |
2021 |
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dc.identifier.citation |
About the spectra of a real nonnegative matrix and its signings / K. Attas, A. Boussaïri, M. Zaidi // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 1. — С. 1–8. — Бібліогр.: 10 назв. — англ. |
uk_UA |
dc.identifier.issn |
1726-3255 |
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dc.identifier.other |
DOI:10.12958/adm1461 |
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dc.identifier.other |
2020 MSC: 05C20, 05C50 |
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dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/188714 |
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dc.description.abstract |
For a complex matrix M, we denote by Sp(M) the spectrum of M and by |M| its absolute value, that is the matrix obtained from M by replacing each entry of M by its absolute value. Let A be a nonnegative real matrix, we call a signing of A every real matrix B such that |B| = A. In this paper, we characterize the set of all signings of A such that Sp(B) = αSp(A) where α is a complex unit number. Our motivation comes from some recent results about the relationship between the spectrum of a graph and the skew spectra of its orientations. |
uk_UA |
dc.language.iso |
en |
uk_UA |
dc.publisher |
Інститут прикладної математики і механіки НАН України |
uk_UA |
dc.relation.ispartof |
Algebra and Discrete Mathematics |
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dc.title |
About the spectra of a real nonnegative matrix and its signings |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
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