Author(s):
Sá, E. Marques de 
; Zhang, Yu Lin
Date: 2005
Persistent ID: http://hdl.handle.net/10316/4631
Origin: Estudo Geral - Universidade de Coimbra
Subject(s): Nilpotent matrices; Invariant factors; Similarity
Document details
On the number of invariant factors of matrix products
Description
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
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
Document Type
Article
Language English
Language English
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