On idempotency of linear combinations of idempotent matrices

Özdemir, Halim

dc.contributor.authors	Ozdemir, H; Ozban, AY;
dc.date.accessioned	2020-01-17T08:21:45Z
dc.date.available	2020-01-17T08:21:45Z
dc.date.issued	2004
dc.identifier.citation	Ozdemir, H; Ozban, AY; (2004). On idempotency of linear combinations of idempotent matrices. APPLIED MATHEMATICS AND COMPUTATION, 159, 448-439
dc.identifier.issn	0096-3003
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6151
dc.identifier.uri	https://doi.org/10.1016/j.amc.2003.10.027
dc.description.abstract	P-1, P-2 and P-3 being any three different nonzero mutually commutative n x n idempotent matrices, and C-1 C-2 and C-3 being nonzero scalars, the problem of characterizing some situations, where a linear combination of the form P = c(1)P(1) + c(2)P(2) or P = c(1)P(1) + c(2)P(2) + c(3)P(3), is also an idempotent matrix has been considered. Moreover two interesting results about the idempotency of linear combinations of 2 x 2 idempotent matrices and 3 x 3 idempotent matrices have been given. A statistical interpretation of the idempotency problem considered in this study has also been pointed out. (C) 2003 Elsevier Inc. All rights reserved.
dc.language	English
dc.publisher	ELSEVIER SCIENCE INC
dc.subject	Mathematics
dc.title	On idempotency of linear combinations of idempotent matrices
dc.type	Article
dc.identifier.volume	159
dc.identifier.startpage	439
dc.identifier.endpage	448
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Özdemir, Halim
dc.relation.journal	APPLIED MATHEMATICS AND COMPUTATION
dc.identifier.wos	WOS:000224774100014
dc.identifier.doi	10.1016/j.amc.2003.10.027
dc.contributor.author	Özdemir, Halim