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dc.contributor.author Han, Kangjin -
dc.contributor.author Moon, Hyunsuk -
dc.date.accessioned 2023-06-09T16:10:29Z -
dc.date.available 2023-06-09T16:10:29Z -
dc.date.created 2023-03-30 -
dc.date.issued 2023-03 -
dc.identifier.issn 1226-9433 -
dc.identifier.uri http://hdl.handle.net/20.500.11750/45980 -
dc.description.abstract In this paper we settle some polynomial identity which provides a family of ex- a0 0X a1 1 ···X an n over a field k. This gives an plicit Waring decompositions of any monomial X upper bound for the Waring rank of a given monomial and naturally leads to an explicit Waring decomposition of any homogeneous form and, eventually, of any polynomial via (de)homogenization. Note that such decomposition is very useful in many applications dealing with polynomial com- putations, symmetric tensor problems and so on. We discuss some computational aspect of our result as comparing with other known methods and also present a computer implementation for potential use in the end. -
dc.language English -
dc.publisher Korean Society for Industrial and Applied Mathematics -
dc.title A FAMILY OF EXPLICIT WARING DECOMPOSITIONS OF A POLYNOMIAL -
dc.type Article -
dc.identifier.doi 10.12941/jksiam.2023.27.001 -
dc.identifier.bibliographicCitation Journal of the Korean Society for Industrial and Applied Mathematics, v.27, no.1, pp.1 - 22 -
dc.identifier.kciid ART002942193 -
dc.description.isOpenAccess FALSE -
dc.subject.keywordAuthor Waring rank -
dc.subject.keywordAuthor Waring decomposition -
dc.subject.keywordAuthor Monomials -
dc.subject.keywordAuthor Symmetric tensor -
dc.subject.keywordAuthor Complexity. -
dc.citation.endPage 22 -
dc.citation.number 1 -
dc.citation.startPage 1 -
dc.citation.title Journal of the Korean Society for Industrial and Applied Mathematics -
dc.citation.volume 27 -
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