Some numerical experiments with the diagonalized Newton multiplier method on geometric programming problems with equality constraints

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dc.contributor.advisorTapia, Richard
dc.creatorLucas, Kristin Rose
dc.date.accessioned2018-12-18T21:26:05Z
dc.date.available2018-12-18T21:26:05Z
dc.date.issued1977
dc.description.abstractThe diagonalized Newton multiplier method is applied to the problem of minimizing a posynomial objective function subject to posynomial equality constraints. Two transformations of the original problem are made and their relative merits examined. Two example problems are solved numerically, in their original formulation and also in their transformed versions. Our numerical experiments with the diagonalized Newton multiplier method seem to suggest that, for this class of problems, solving a transformed version yields a larger region of convergence.
dc.format.digitalOriginreformatted digital
dc.format.extent41 pp
dc.identifier.callnoThesis Math. Sci. 1977 Lucas
dc.identifier.citationLucas, Kristin Rose. "Some numerical experiments with the diagonalized Newton multiplier method on geometric programming problems with equality constraints." (1977) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/104587">https://hdl.handle.net/1911/104587</a>.
dc.identifier.digitalRICE2222
dc.identifier.urihttps://hdl.handle.net/1911/104587
dc.language.isoeng
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
dc.titleSome numerical experiments with the diagonalized Newton multiplier method on geometric programming problems with equality constraints
dc.typeThesis
dc.type.materialText
thesis.degree.departmentMathematical Sciences
thesis.degree.disciplineEngineering
thesis.degree.grantorRice University
thesis.degree.levelMasters
thesis.degree.nameMaster of Arts
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