Positivity Conditions for Quartic Polynomials

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dc.contributor.authorUlrich, Garyen
dc.contributor.authorWatson, Layne T.en
dc.contributor.departmentComputer Scienceen
dc.date.accessioned2013-06-19T14:37:02Zen
dc.date.available2013-06-19T14:37:02Zen
dc.date.issued1990en
dc.description.abstractSimple necessary and sufficient conditions that a quartic polynomial f(z) be non-negative for z greater than or equal to 0 or a is less than or equal to z and z is less than or equal to b are derived, and illustrated geometrically. The geometry provides considerable insight and suggests various approximations and computational simplifications. The theory is applied to monotone quintic spline interpolations, giving necessary and sufficient conditions and an algorithm for monotone Hermite quintic interpolation.en
dc.format.mimetypeapplication/pdfen
dc.identifierhttp://eprints.cs.vt.edu/archive/00000239/en
dc.identifier.sourceurlhttp://eprints.cs.vt.edu/archive/00000239/01/TR-90-57.pdfen
dc.identifier.trnumberTR-90-57en
dc.identifier.urihttp://hdl.handle.net/10919/19639en
dc.language.isoenen
dc.publisherDepartment of Computer Science, Virginia Polytechnic Institute & State Universityen
dc.relation.ispartofHistorical Collection(Till Dec 2001)en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titlePositivity Conditions for Quartic Polynomialsen
dc.typeTechnical reporten
dc.type.dcmitypeTexten

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