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Canonical Form for Matrices Under Unitary Congruence Transformations. I: Conjugate-Normal Matrices

โœ Scribed by Milan Vujicic, Fedor Herbut and Gradimir Vujicic

Book ID
124881214
Publisher
Society for Industrial and Applied Mathematics
Year
1972
Tongue
English
Weight
1008 KB
Volume
23
Category
Article
ISSN
0036-1399

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A canonical form for nonderogatory matri
A canonical form for nonderogatory matrices under unitary similarity
โœ Vyacheslav Futorny; Roger A. Horn; Vladimir V. Sergeichuk ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 241 KB

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 fo