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About the spectra of a real nonnegative matrix and its signings
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 chara...
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Інститут прикладної математики і механіки НАН України
2021
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/188714 |
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irk-123456789-1887142023-03-14T01:26:58Z About the spectra of a real nonnegative matrix and its signings Attas, K. Boussaïri, A. Zaidi, M. 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. 2021 Article 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. 1726-3255 DOI:10.12958/adm1461 2020 MSC: 05C20, 05C50 http://dspace.nbuv.gov.ua/handle/123456789/188714 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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English |
| description |
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. |
| format |
Article |
| author |
Attas, K. Boussaïri, A. Zaidi, M. |
| spellingShingle |
Attas, K. Boussaïri, A. Zaidi, M. About the spectra of a real nonnegative matrix and its signings Algebra and Discrete Mathematics |
| author_facet |
Attas, K. Boussaïri, A. Zaidi, M. |
| author_sort |
Attas, K. |
| title |
About the spectra of a real nonnegative matrix and its signings |
| title_short |
About the spectra of a real nonnegative matrix and its signings |
| title_full |
About the spectra of a real nonnegative matrix and its signings |
| title_fullStr |
About the spectra of a real nonnegative matrix and its signings |
| title_full_unstemmed |
About the spectra of a real nonnegative matrix and its signings |
| title_sort |
about the spectra of a real nonnegative matrix and its signings |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2021 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/188714 |
| citation_txt |
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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT attask aboutthespectraofarealnonnegativematrixanditssignings AT boussairia aboutthespectraofarealnonnegativematrixanditssignings AT zaidim aboutthespectraofarealnonnegativematrixanditssignings |
| first_indexed |
2023-10-18T23:08:59Z |
| last_indexed |
2023-10-18T23:08:59Z |
| _version_ |
1796157375752699904 |