Linear preservers of copositive matrices

• Tipo: Artigo em Revista Científica Internacional
• Data: 2021-06-27

Autores

Susana Borges Furtado (Autor) FEP; Johnson, CR (Autor) Outra; Zhang, YL (Autor) Outra

Revista

Título: Linear and Multilinear Algebra

Vol. 69

Páginas: 1779-1788

ISSN: 0308-1087

Editora: Taylor & Francis

Indexação

ISI Web of Knowledge - 2 Citações

Scopus - 2 Citações

Outras Informações

ID Authenticus: P-00R-DKC

DOI: 10.1080/03081087.2019.1692775

Abstract (EN): An n-by-n real symmetric matrix is called copositive if its quadratic form is nonnegative on nonnegative vectors. Our interest is in identifying which linear transformations on symmetric matrices preserve copositivity either in the into or onto sense. We conjecture that in the onto case, the map must be congruence by a monomial matrix (a permutation times a positive diagonal matrix). This is proven under each of some additional natural assumptions. Also, the into preservers of standard type are characterized. A general characterization in the into case seems difficult, and examples are given. One of them provides a counterexample to a conjecture about the into preservers.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 10