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...
Збережено в:
| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2021 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2021
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/188714 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862650966473441280 |
|---|---|
| author | Attas, K. Boussaïri, A. Zaidi, M. |
| author_facet | Attas, K. Boussaïri, A. Zaidi, M. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-01T18:40:21Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188714 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-01T18:40:21Z |
| publishDate | 2021 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Attas, K. Boussaïri, A. Zaidi, M. 2023-03-12T17:58:56Z 2023-03-12T17:58:56Z 2021 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 https://nasplib.isofts.kiev.ua/handle/123456789/188714 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics About the spectra of a real nonnegative matrix and its signings Article published earlier |
| spellingShingle | About the spectra of a real nonnegative matrix and its signings Attas, K. Boussaïri, A. Zaidi, M. |
| title | 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_short | About the spectra of a real nonnegative matrix and its signings |
| title_sort | about the spectra of a real nonnegative matrix and its signings |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188714 |
| work_keys_str_mv | AT attask aboutthespectraofarealnonnegativematrixanditssignings AT boussairia aboutthespectraofarealnonnegativematrixanditssignings AT zaidim aboutthespectraofarealnonnegativematrixanditssignings |