A new algorithm for 5-band Toeplitz matrix inversion with application to GCV smoothing spline computation

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DC 欄位	值	語言
dc.contributor.author	Shiau, JJH	en_US
dc.date.accessioned	2014-12-08T15:45:56Z	-
dc.date.available	2014-12-08T15:45:56Z	-
dc.date.issued	1999-12-15	en_US
dc.identifier.issn	0167-7152	en_US
dc.identifier.uri	http://hdl.handle.net/11536/30902	-
dc.description.abstract	A new algorithm is developed for computing any entry of the inverse of a 5-band Toeplitz matrix. After a linear-time overhead, each entry can be computed in constant time. As an application of this algorithm, we present a way to compute the generalized cross validated smoothing spline in linear time for the equally spaced data case. (C) 1999 Elsevier Science B.V. All rights reserved.	en_US
dc.language.iso	en_US	en_US
dc.subject	band matrix	en_US
dc.subject	Toeplitz matrix	en_US
dc.subject	efficient algorithms	en_US
dc.subject	smoothing splines	en_US
dc.subject	generalized cross validation	en_US
dc.subject	divided difference	en_US
dc.title	A new algorithm for 5-band Toeplitz matrix inversion with application to GCV smoothing spline computation	en_US
dc.type	Article	en_US
dc.identifier.journal	STATISTICS & PROBABILITY LETTERS	en_US
dc.citation.volume	45	en_US
dc.citation.issue	4	en_US
dc.citation.spage	317	en_US
dc.citation.epage	324	en_US
dc.contributor.department	統計學研究所	zh_TW
dc.contributor.department	Institute of Statistics	en_US
dc.identifier.wosnumber	WOS:000083400200004	-
dc.citation.woscount	1	-
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