On the simultaneous triangulability of matrices

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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Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.