About the spectra of a real nonnegative matrix and its signings

• Published in: Algebra and Discrete Mathematics
• Date: 2021
• Main Authors: Attas, K., Boussaïri, A., Zaidi, M.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188714
• 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.

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...