Jordan's principal angles in complex vector spaces

Autor:	Aurél Galántai, Cs. J. Hegedűs
Rok vydání:	2006
Předmět:	Pure mathematics Algebra and Number Theory Basis (linear algebra) Applied Mathematics Principal (computer security) Linear subspace law.invention Algebra Section (fiber bundle) Projector Complex vector law Principal angles Real vector Mathematics
Zdroj:	Numerical Linear Algebra with Applications. 13:589-598
ISSN:	1099-1506 1070-5325
DOI:	10.1002/nla.491
Popis:	We analyse the possible recursive definitions of principal angles and vectors in complex vector spaces and give a new projector based definition. This enables us to derive important properties of the principal vectors and to generalize a result of Bjorck and Golub (Math. Comput. 1973; 27(123):579–594), which is the basis of today’s computational procedures in real vector spaces. We discuss other angle definitions and concepts in the last section. Copyright q 2006 John Wiley & Sons, Ltd.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::808561271a1721551dfe9cd8f97e239e https://doi.org/10.1002/nla.491 Zobrazit plný text záznamu Plný text