On the number of invariant factors of matrix products

• Autor(es): Sá, E. Marques de ; Zhang, Yu Lin
• Data: 2005
• Identificador Persistente: http://hdl.handle.net/10316/4631
• Origem: Estudo Geral - Universidade de Coimbra
• Assunto(s): Nilpotent matrices; Invariant factors; Similarity
• Tipo de Documento: Artigo
• Idioma: Inglês

Descrição

We prove an inequality relating the number of nontrivial invariant factors of n × n matrices A and B, with those of AB, and get some results on the cases of equality. In particular, we characterize the similarity classes, and , with all eigenvalues in the base field, such that AB is nilpotent for some and . http://www.sciencedirect.com/science/article/B6V0R-4F29J0H-6/1/e03b2d17dbee9bd012faadaa2f58683d