Continuation methods for computing Z-/H-eigenpairs of nonnegative tensors

doi:10.1016/j.cam.2018.02.027

完整後設資料紀錄

DC 欄位	值	語言
dc.contributor.author	Kuo, Yueh-Cheng	en_US
dc.contributor.author	Lin, Wen-Wei	en_US
dc.contributor.author	Liu, Ching-Sung	en_US
dc.date.accessioned	2019-04-02T05:59:35Z	-
dc.date.available	2019-04-02T05:59:35Z	-
dc.date.issued	2018-10-01	en_US
dc.identifier.issn	0377-0427	en_US
dc.identifier.uri	http://dx.doi.org/10.1016/j.cam.2018.02.027	en_US
dc.identifier.uri	http://hdl.handle.net/11536/147929	-
dc.description.abstract	In this paper, a homotopy continuation method for the computation of nonnegative Z-/H-eigenpairs of a nonnegative tensor is presented. We show that the homotopy continuation method is guaranteed to compute a nonnegative eigenpair. Additionally, using degree analysis, we show that the number of positive Z-eigenpairs of an irreducible nonnegative tensor is odd. A novel homotopy continuation method is proposed to compute an odd number of positive Z-eigenpairs, and some numerical results are presented. (C) 2018 Elsevier B.V. All rights reserved.	en_US
dc.language.iso	en_US	en_US
dc.subject	Continuation method	en_US
dc.subject	Nonnegative tensor	en_US
dc.subject	Z-eigenpair	en_US
dc.subject	H-eigenpair	en_US
dc.subject	Tensor eigenvalue problem	en_US
dc.title	Continuation methods for computing Z-/H-eigenpairs of nonnegative tensors	en_US
dc.type	Article	en_US
dc.identifier.doi	10.1016/j.cam.2018.02.027	en_US
dc.identifier.journal	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS	en_US
dc.citation.volume	340	en_US
dc.citation.spage	71	en_US
dc.citation.epage	88	en_US
dc.contributor.department	應用數學系	zh_TW
dc.contributor.department	Department of Applied Mathematics	en_US
dc.identifier.wosnumber	WOS:000440264600005	en_US
dc.citation.woscount	0	en_US
顯示於類別：	期刊論文