About the spectra of a real nonnegative matrix and its signings

• Date: 2021
• Main Authors: Attas, K., Boussaïri, A., Zaidi, M.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2021
• Subjects: spectra; digraphs; nonnegative matrices; irreducible matrices; 05C20; 05C50
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1461
• Journal Title: Algebra and Discrete Mathematics

For a complex matrix \(M\), we denote by \(\operatorname{Sp}(M)\) 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 matr...