A Trust-Region Approach to Nonlinear Systems of Equalities and Inequalities

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dc.contributor.authorDennis, J.E. Jr.en_US
dc.contributor.authorEl-Alem, Mahmouden_US
dc.contributor.authorWilliamson, Karenen_US
dc.date.accessioned2018-06-18T17:41:51Zen_US
dc.date.available2018-06-18T17:41:51Zen_US
dc.date.issued1994-10en_US
dc.date.noteOctober 1994en_US
dc.description.abstractIn this paper, two new trust-region algorithms for the numerical solution of systems of nonlinear equalities and inequalities are introduced. The formulation is free of arbitrary parameters and possesses sufficient smoothness to exploit the robustness of the trust-region approach. The proposed algorithms are one-sided least-squares trust-region algorithms. The first algorithm is a single-model algorithm, and the second one is a multi-model algorithm where the Cauchy point computation is a model selection procedure. Global convergence analyses for the two algorithms are presented. Our analysis generalizes to nonlinear systems of equalities and inequalities the well-developed theory for nonlinear least-squares problems. Numerical experiments on the two algorithms are also presented. The performances of the two algorithms are reported. The numerical results validate the effectiveness of our approach.en_US
dc.format.extent25 ppen_US
dc.identifier.citationDennis, J.E. Jr., El-Alem, Mahmoud and Williamson, Karen. "A Trust-Region Approach to Nonlinear Systems of Equalities and Inequalities." (1994) <a href="https://hdl.handle.net/1911/101845">https://hdl.handle.net/1911/101845</a>.en_US
dc.identifier.digitalTR94-38en_US
dc.identifier.urihttps://hdl.handle.net/1911/101845en_US
dc.language.isoengen_US
dc.titleA Trust-Region Approach to Nonlinear Systems of Equalities and Inequalitiesen_US
dc.typeTechnical reporten_US
dc.type.dcmiTexten_US
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