Birkhoff-James approximate orthogonality sets and numerical ranges

Chorianopoulos, C; Psarrakos, P

dc.contributor.author	Chorianopoulos, C	en
dc.contributor.author	Psarrakos, P	en
dc.date.accessioned	2014-03-01T01:35:22Z
dc.date.available	2014-03-01T01:35:22Z
dc.date.issued	2011	en
dc.identifier.issn	0024-3795	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21019
dc.subject	-Orthogonality	en
dc.subject	Birkhoff-James orthogonality	en
dc.subject	Boundary	en
dc.subject	Eigenvalue	en
dc.subject	Matrix polynomial	en
dc.subject	Numerical range	en
dc.subject	Rectangular matrix	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Boundary	en
dc.subject.other	Eigen-value	en
dc.subject.other	Matrix polynomial	en
dc.subject.other	Numerical range	en
dc.subject.other	Orthogonality	en
dc.subject.other	Rectangular matrix	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Polynomials	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.title	Birkhoff-James approximate orthogonality sets and numerical ranges	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.laa.2010.12.008	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.laa.2010.12.008	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	In this paper, the notion of Birkhoff-James approximate orthogonality sets is introduced for rectangular matrices and matrix polynomials. The proposed definition yields a natural generalization of standard numerical range and q-numerical range (and also of recent extensions), sharing with them several geometric properties. (C) 2010 Elsevier Inc. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE INC	en
heal.journalName	Linear Algebra and Its Applications	en
dc.identifier.doi	10.1016/j.laa.2010.12.008	en
dc.identifier.isi	ISI:000288300700006	en
dc.identifier.volume	434	en
dc.identifier.issue	9	en
dc.identifier.spage	2089	en
dc.identifier.epage	2108	en