Eigenvalues of products of matrices

• Type: Article in International Scientific Journal
• Date: 2006

Authors

Susana Borges Furtado (Author) FEP; Laura Iglésias (Author) Other; Fernando Silva (Author) Other

Journal

Title: LINEAR & MULTILINEAR ALGEBRA

Vol. 54 No. 5

Pages: 343-353

ISSN: 0308-1087

Indexing

ISI Web of Knowledge - 1 Citation

ISI Web of Science

Scopus - 1 Citation

Scientific classification

FOS: Natural sciences

Other information

Authenticus ID: P-004-HNF

DOI: 10.1080/03081080500230089

Abstract (EN): Let A and B be n x n matrices over an algebraically closed field F. The pair (A, B) is said to be spectrally complete if, for every sequence c(1),..., c(n) is an element of F such that det(AB) = c(1),..., c(n), there exist matrices A', B' is an element of F-n xn similar to A, B, respectively, such that A'B' has eigenvalues c(1),..., c(n). In this article, we describe the spectrally complete pairs. Assuming that A and B are nonsingular, the possible eigenvalues of A'B', when A' and B' run over the sets of the matrices similar to A and B, respectively, were described in a previous article.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11