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On the simultaneous triangulability of matrices

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dc.contributor.author Al'pin Y.
dc.contributor.author Koreshkov N.
dc.date.accessioned 2018-09-17T20:03:29Z
dc.date.available 2018-09-17T20:03:29Z
dc.date.issued 2000
dc.identifier.issn 0001-4346
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/132970
dc.description.abstract Two necessary and sufficient criteria for the simultaneous triangulability of two complex matrices are established. Both of them admit a finite verification procedure. To prove the first criterion, classical theorems from Lie algebra theory are used, and known sufficient conditions of triangulability are also given a natural interpretation in terms of this theory. The other criterion is discussed in the framework of the associative algebras. Here the decisive fact is the Wedderburn theorem on the nilpotence of a finite-dimensional nilalgebra. ©2000 Kluwer Academic/Plenum Publishers.
dc.relation.ispartofseries Mathematical Notes
dc.subject Nilpotent Lie algebra
dc.subject Simultaneous triangulability
dc.subject Solvable Lie algebra
dc.subject Wedderburn theorem
dc.title On the simultaneous triangulability of matrices
dc.type Article
dc.relation.ispartofseries-issue 5-6
dc.relation.ispartofseries-volume 68
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 552
dc.source.id SCOPUS00014346-2000-68-56-SID30044442437


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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