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TitleArbitrariness of Jordan structure in factorization : the geometric multiplicity restriction and the 3 X 3 case
Author(s)Johnson, Charles R.
Lewis, Drew
Zhang Yulin
KeywordsJordan form
Geometric multiplicity
Matrix product
Issue date2012
PublisherWorld Scientific Publishing Company
JournalAsian-European Journal of Mathematics
Abstract(s)For the problem of which Jordan forms are possible for n × n complex matrices A, B and C, when A = BC, geometric multiplicity restrictions are given for the eigenvalues of the three matrices. Together with the obvious determinantal condition on the eigenvalues, these necessary conditions are shown to be sufficient for the problem when n < 4, but not for n ≥ 4. Some basic observations about the problem are given in the process.
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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