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Title of Article

ON SIMILARITY OF 3. 3 MATRICES OVER THE RING OF INTEGERS WITH A REDUCIBLE CHARACTERISTIC POLYNOMIAL


Issue
1
Date
2009

Article type
scientific article
UDC
512.64
Pages
119-127
Keywords
similarity of matrices, ring of integers


Authors
Sidorov S.V.
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo


Abstract
The similarity problem for 3. 3 matrices over the ring of integers Z with a reducible characteristic polynomial is considered. If all the roots of the characteristic polynomial belong to Z, the canonical matrices of similarity classes are described. The algorithm to determine the similarity based on a matrix reduction to a canonical form has been obtained.

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