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

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dc.contributor.advisorTapia, Richarden_US
dc.creatorLucas, Kristin Roseen_US
dc.date.accessioned2018-12-18T21:26:05Zen_US
dc.date.available2018-12-18T21:26:05Zen_US
dc.date.issued1977en_US
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.en_US
dc.format.digitalOriginreformatted digitalen_US
dc.format.extent41 ppen_US
dc.identifier.callnoThesis Math. Sci. 1977 Lucasen_US
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>.en_US
dc.identifier.digitalRICE2222en_US
dc.identifier.urihttps://hdl.handle.net/1911/104587en_US
dc.language.isoengen_US
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.en_US
dc.titleSome numerical experiments with the diagonalized Newton multiplier method on geometric programming problems with equality constraintsen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematical Sciencesen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Artsen_US
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