Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/11165

TitleOn the number of invariant factors of matrix products
Author(s)Sá, E. Marques de
Zhang Yu Lin
KeywordsMatrices
Similarity
Rank
Invariant polynomials
nilpotent matrices
invariant factors
Issue date2005
PublisherElsevier
JournalLinear Algebra and Its Applications
Citation“Linear Algebra and Its Applications”. ISSN 0024-3795. 401 (May 2005) 393-399.
Abstract(s)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.
TypeArticle
URIhttp://hdl.handle.net/1822/11165
DOI10.1016/j.laa.2004.10.029
ISSN0024-3795
Publisher versionwww.elsevier.com
Peer-Reviewedyes
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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