A canonical form for nonderogatory matrices under unitary similarity

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Author(s):	Futorny, Vyacheslav ^[1] ; Horn, Roger A. ^[2] ; Sergeichuk, Vladimir V. ^[3] Total Authors: 3
Affiliation:	^[1] Univ Sao Paulo, Dept Math, BR-05508 Sao Paulo - Brazil ^[2] Univ Utah, Dept Math, Salt Lake City, UT 84103 - USA ^[3] Ukrainian Acad Sci, Inst Math, Kiev - Ukraine Total Affiliations: 3
Document type:	Journal article
Source:	Linear Algebra and its Applications; v. 435, n. 4, p. 830-841, AUG 15 2011.
Web of Science Citations:	4
Abstract
A square matrix is nonderogatory if its Jordan blocks have distinct eigenvalues. We give canonical forms for (1) nonderogatory complex matrices up to unitary similarity, and (2) pairs of complex matrices up to similarity, in which one matrix has distinct eigenvalues. The types of these canonical forms are given by undirected and, respectively, directed graphs with no undirected cycles. (C) 2011 Elsevier Inc. All rights reserved. (AU)

FAPESP's process:	10/07278-6 - Canonical matrices and their miniversal deformations
Grantee:	Vyacheslav Futorny
Support Opportunities:	Research Grants - Visiting Researcher Grant - International