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dc.contributor.authorJoe, Stephenen_NZ
dc.date.accessioned2017-07-12T21:46:32Z
dc.date.available2016en_NZ
dc.date.available2017-07-12T21:46:32Z
dc.date.issued2016en_NZ
dc.identifier.citationJoe, S. (2016). The Hermite normal form for certain rank-1 circulant and skew-circulant lattice rules. Linear Algebra and Its Applications, 496, 438–451. https://doi.org/10.1016/j.laa.2016.02.009en
dc.identifier.issn0024-3795en_NZ
dc.identifier.urihttps://hdl.handle.net/10289/11168
dc.description.abstractCharacterisations are provided of the Hermite normal form of certain integer circulant and skew-circulant matrices. These matrices are associated with rank-1 circulant and skew-circulant lattice rules. Previous computer searches for lattice rules of specified trigonometric degree have indicated that there is some merit in searches of such lattice rules. We also consider the question of whether a Hermite normal form with the characterisation for these rank-1 circulant lattice rules is actually associated to a circulant lattice rule. Though the answer is negative in the general case, several examples where the answer is positive will be given.
dc.format.mimetypeapplication/octet-stream
dc.language.isoenen_NZ
dc.publisherElsevieren_NZ
dc.rightsThis is an author’s accepted version of an article published in the journal: Linear Algebra and its Applications. © 2016 Elsevier.
dc.subjectScience & Technologyen_NZ
dc.subjectPhysical Sciencesen_NZ
dc.subjectMathematics, Applieden_NZ
dc.subjectMathematicsen_NZ
dc.subjectRank-1 circulant lattice rulesen_NZ
dc.subjectHermite normal formen_NZ
dc.subjectMATRICESen_NZ
dc.subjectRank-1 circulant lattice rules
dc.subjectHermite normal form
dc.titleThe Hermite normal form for certain rank-1 circulant and skew-circulant lattice rulesen_NZ
dc.typeJournal Article
dc.identifier.doi10.1016/j.laa.2016.02.009en_NZ
dc.relation.isPartOfLinear Algebra and its Applicationsen_NZ
pubs.begin-page438
pubs.elements-id137525
pubs.end-page451
pubs.publication-statusPublisheden_NZ
pubs.volume496en_NZ
dc.identifier.eissn1873-1856en_NZ


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