On computation of skew-symmetric generator for an orthogonal matrix

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dc.contributor.author	Biborski, Iwo [USOS14420]	pl
dc.date.accessioned	2019-04-16T07:09:16Z
dc.date.available	2019-04-16T07:09:16Z
dc.date.issued	2012	pl
dc.identifier.issn	0083-4386	pl
dc.identifier.uri	https://ruj.uj.edu.pl/xmlui/handle/item/73210
dc.language	eng	pl
dc.rights	Dozwolony użytek utworów chronionych	*
dc.rights.uri	http://ruj.uj.edu.pl/4dspace/License/copyright/licencja_copyright.pdf	*
dc.title	On computation of skew-symmetric generator for an orthogonal matrix	pl
dc.type	JournalArticle	pl
dc.description.physical	47-51	pl
dc.abstract.en	In this paper, we constructively prove that for any matrix A over a _eld of characteristic 0 and its eigenvalue _ 6= 0 there exists a diago-nal matrix D with diagonal coe_cients _1 such that DA has no eigenvalue_. Hence and by the canonical result on Cayley transformation, for each or-thogonal matrix U one can _nd a diagonal matrix D and a skew-symmetric matrix S such that U = D(S - I)-1(S + I).	pl
dc.description.volume	50	pl
dc.identifier.doi	10.4467/20843828AM.12.003.1121	pl
dc.identifier.eissn	2084-3828	pl
dc.title.journal	Universitatis Iagellonicae Acta Mathematica	pl
dc.language.container	eng	pl
dc.affiliation	Wydział Matematyki i Informatyki : Instytut Matematyki	pl
dc.subtype	Article	pl
dc.rights.original	OTHER; otwarte czasopismo; ostateczna wersja wydawcy; w momencie opublikowania; 0	pl
dc.identifier.project	ROD UJ / OP	pl