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Please use this identifier to cite or link to this item: http://hdl.handle.net/1893/30246
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dc.contributor.authorLee, Wen-shinen_UK
dc.date.accessioned2019-10-05T00:06:06Z-
dc.date.available2019-10-05T00:06:06Z-
dc.date.issued2007-07-25en_UK
dc.identifier.urihttp://hdl.handle.net/1893/30246-
dc.description.abstractThe numerical quotient-difference algorithm, or the qd-algorithm , can be used for determining the poles of a meromorphic function directly from its Taylor coefficients. We show that the poles computed in the qd-algorithm, regardless of their multiplicities, are converging to the solution of a generalized eigenvalue problem. In a special case when all the poles are simple, such generalized eigenvalue problem can be viewed as a reformulation of Prony's method, a method that is closely related to the Ben-Or/Tiwari algorithm for interpolating a multivariate sparse polynomial in computer algebra.en_UK
dc.language.isoenen_UK
dc.publisherACMen_UK
dc.relationLee W (2007) From quotient-difference to generalized eigenvalues and sparse polynomial interpolation. In: SNC '07 Proceedings of the 2007 international workshop on Symbolic-numeric computation. Symbolic-Numeric Computation 2007 (SNC 2007), London, Ontario, Canada, 25.07.2007-27.07.2007. New York: ACM, pp. 110-116. https://dl.acm.org/citation.cfm?id=1277518en_UK
dc.rightsThe publisher does not allow this work to be made publicly available in this Repository. Please use the Request a Copy feature at the foot of the Repository record to request a copy directly from the author. You can only request a copy if you wish to use this work for your own research or private study.en_UK
dc.rights.urihttp://www.rioxx.net/licenses/under-embargo-all-rights-reserveden_UK
dc.subjectBen-Or/Tiwari algorithm, Prony's method, generalised eigenvalue, sparse polynomial interpolationen_UK
dc.titleFrom quotient-difference to generalized eigenvalues and sparse polynomial interpolationen_UK
dc.typeConference Paperen_UK
dc.rights.embargodate2999-12-31en_UK
dc.rights.embargoreason[Lee07.pdf] The publisher does not allow this work to be made publicly available in this Repository therefore there is an embargo on the full text of the work.en_UK
dc.citation.spage110en_UK
dc.citation.epage116en_UK
dc.citation.publicationstatusPublisheden_UK
dc.type.statusVoR - Version of Recorden_UK
dc.contributor.funderUniversity of Antwerpen_UK
dc.identifier.urlhttps://dl.acm.org/citation.cfm?id=1277518en_UK
dc.author.emailwen-shin.lee@stir.ac.uken_UK
dc.citation.btitleSNC '07 Proceedings of the 2007 international workshop on Symbolic-numeric computationen_UK
dc.citation.conferencedates2007-07-25 - 2007-07-27en_UK
dc.citation.conferencelocationLondon, Ontario, Canadaen_UK
dc.citation.conferencenameSymbolic-Numeric Computation 2007 (SNC 2007)en_UK
dc.citation.date25/07/2007en_UK
dc.citation.isbn978-1-59593-744-5en_UK
dc.publisher.addressNew Yorken_UK
dc.description.notesDOIen_UK
dc.contributor.affiliationUniversity of Antwerpen_UK
dc.identifier.wtid1435409en_UK
dc.contributor.orcid0000-0002-2808-3739en_UK
dcterms.dateAccepted2007-07-25en_UK
dc.date.filedepositdate2019-08-30en_UK
rioxxterms.typeConference Paper/Proceeding/Abstracten_UK
rioxxterms.versionVoRen_UK
local.rioxx.authorLee, Wen-shin|0000-0002-2808-3739en_UK
local.rioxx.projectProject ID unknown|University of Antwerp|en_UK
local.rioxx.freetoreaddate2257-06-26en_UK
local.rioxx.licencehttp://www.rioxx.net/licenses/under-embargo-all-rights-reserved||en_UK
local.rioxx.filenameLee07.pdfen_UK
local.rioxx.filecount1en_UK
local.rioxx.source978-1-59593-744-5en_UK
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