The existence and local behaviour of the quadratic function approximation

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dc.contributor.authorBrookes, Richard Gordon
dc.contributor.authorMcInnes, A.W.
dc.date.accessioned2015-07-27T23:06:30Z
dc.date.available2015-07-27T23:06:30Z
dc.date.issued1988en
dc.description.abstractThis paper analyses the local behaviour of the quadratic function approximation to a function which has a given power series expansion about the origin. It is shown that the quadratic Hermite-Padé form always defines a quadratic function and that this function is analytic in a neighbourhood of the origin. This result holds even if the origin is a critical point of the function (i.e. the discriminant has a zero at the origin). If the discriminant has multiple zeros the order of the approximation will be degraded but only to a limited extent.en
dc.identifier.urihttp://hdl.handle.net/10092/10703
dc.language.isoen
dc.publisherUniversity of Canterbury. Mathematicsen
dc.relation.isreferencedbyNZCUen
dc.rightsCopyright Richard Gordon Brookesen
dc.rights.urihttps://canterbury.libguides.com/rights/thesesen
dc.subject.anzsrcField of Research::01 - Mathematical Sciences::0101 - Pure Mathematicsen
dc.titleThe existence and local behaviour of the quadratic function approximationen
thesis.degree.grantorUniversity of Canterburyen
thesis.degree.levelResearch Reporten
thesis.degree.nameResearch Reporten
uc.bibnumber231559en
uc.collegeFaculty of Engineeringen
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