A characterization of Newton maps.

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dc.contributor.authorBerger, Arno
dc.contributor.authorHill, Theodore P.
dc.date.accessioned2015-12-15T23:12:10Z
dc.date.available2015-12-15T23:12:10Z
dc.date.issued2005en
dc.description.abstractConditions are given for a l map T to be a Newton map, that is, the map associated with a differentiable real-valued function via Newton's method. For finitely differentiable maps and functions, these conditions can only be necessary, but in the smooth case, i.e. for l=∞, they are also sufficient. The characterization rests upon the structure of the fixed point set of T, and it is best possible as is demonstrated through examples.en
dc.identifier.urihttp://hdl.handle.net/10092/11623
dc.language.isoen
dc.publisherUniversity of Canterbury. Department of Mathematics and Statisticsen
dc.relation.isreferencedbyNZCU
dc.rightsCopyright Arno Bergeren
dc.rights.urihttps://canterbury.libguides.com/rights/theses
dc.subjectNewton's methoden
dc.subjectNewton mapen
dc.subjectdiscrete dynamical systemen
dc.subjectfixed point seten
dc.subjectattracting fixed pointen
dc.subject.anzsrcField of Research::01 - Mathematical Sciencesen
dc.titleA characterization of Newton maps.en
dc.title.alternativeResearch report (University of Canterbury. Dept. of Mathematics and Statistics) ; no. UCDMS2005/11.en
dc.typeDiscussion / Working Papers
uc.bibnumber1002863
uc.collegeFaculty of Engineering
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