Tapia, Richard2018-12-182018-12-181977Lucas, 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>.https://hdl.handle.net/1911/104587The 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.41 ppengCopyright 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.ThesisRICE2222reformatted digitalThesis Math. Sci. 1977 Lucas