Author(s):
Sá, E. Marques de 
; Zhang Yulin
Date: 2005
Persistent ID: http://hdl.handle.net/1822/11165
Origin: RepositóriUM - Universidade do Minho
Subject(s): Matrices; Similarity; Rank; Invariant polynomials
Document details
On the number of invariant factors of matrix products
Description
In the first part of the paper we determine bounds for the ranks of certain submatrices of square matrices taken from a prescribed similarity class. Then we discuss the concept of offdiagonal indices (defined in Section 1) which, very roughly speaking, measure, for each given integer s, how far we have to go off the main diagonal of a square matrix, to find an s s nonzero minor. Some open problems are stated.
In the first part of the paper we determine bounds for the ranks of certain submatrices of square matrices taken from a prescribed similarity class. Then we discuss the concept of offdiagonal indices (defined in Section 1) which, very roughly speaking, measure, for each given integer s, how far we have to go off the main diagonal of a square matrix, to find an s s nonzero minor. Some open problems are stated.
Document Type
Article
Language English
Language English
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