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...
Saved in:
| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2021 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2021
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188714 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-188714 |
|---|---|
| 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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
About the spectra of a real nonnegative matrix and its signings |
| spellingShingle |
About the spectra of a real nonnegative matrix and its signings Attas, K. Boussaïri, A. Zaidi, M. |
| 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 |
| author |
Attas, K. Boussaïri, A. Zaidi, M. |
| author_facet |
Attas, K. Boussaïri, A. Zaidi, M. |
| publishDate |
2021 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT attask aboutthespectraofarealnonnegativematrixanditssignings AT boussairia aboutthespectraofarealnonnegativematrixanditssignings AT zaidim aboutthespectraofarealnonnegativematrixanditssignings |
| first_indexed |
2025-12-01T18:40:21Z |
| last_indexed |
2025-12-01T18:40:21Z |
| _version_ |
1850860794144620544 |