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dc.contributor.authorGuo, Chun-Huaen_US
dc.contributor.authorLin, Wen-Weien_US
dc.contributor.authorLiu, Ching-Sungen_US
dc.date.accessioned2019-04-02T06:00:43Z-
dc.date.available2019-04-02T06:00:43Z-
dc.date.issued2019-02-01en_US
dc.identifier.issn1017-1398en_US
dc.identifier.urihttp://dx.doi.org/10.1007/s11075-018-0498-yen_US
dc.identifier.urihttp://hdl.handle.net/11536/148801-
dc.description.abstractWe propose a modified Newton iteration for finding some nonnegative Z-eigenpairs of a nonnegative tensor. When the tensor is irreducible, all nonnegative eigenpairs are known to be positive. We prove local quadratic convergence of the new iteration to any positive eigenpair of a nonnegative tensor, under the usual assumption guaranteeing the local quadratic convergence of the original Newton iteration. A big advantage of the modified Newton iteration is that it seems capable of finding a nonnegative eigenpair starting with any positive unit vector. Special attention is paid to transition probability tensors.en_US
dc.language.isoen_USen_US
dc.subjectNonnegative tensoren_US
dc.subjectTransition probability tensoren_US
dc.subjectNonnegative Z-eigenpairen_US
dc.subjectModified Newton iterationen_US
dc.subjectQuadratic convergenceen_US
dc.subject65F15en_US
dc.subject65F50en_US
dc.titleA modified Newton iteration for finding nonnegative Z-eigenpairs of a nonnegative tensoren_US
dc.typeArticleen_US
dc.identifier.doi10.1007/s11075-018-0498-yen_US
dc.identifier.journalNUMERICAL ALGORITHMSen_US
dc.citation.volume80en_US
dc.citation.spage595en_US
dc.citation.epage616en_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.identifier.wosnumberWOS:000457371000013en_US
dc.citation.woscount0en_US
Appears in Collections:Articles