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dc.contributor.authorLi, Yuyingen_US
dc.date.accessioned2007-04-23T16:26:06Z
dc.date.available2007-04-23T16:26:06Z
dc.date.issued1994-11en_US
dc.identifier.citationhttp://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.cs/TR94-1463en_US
dc.identifier.urihttps://hdl.handle.net/1813/6072
dc.description.abstractA nonlinearly constrained minimization problem can be solved by the exact penalty approach involving nondifferentiable functions $\sum_{i} |c_i(x)|$ and $\sum_{i}\max(0,c_i(x))$. In this paper, a trust region approach based on a 2-norm subproblem is proposed for solving a nonlinear $l_1$ problem. The (quadratic) approximation and the trust region subproblem are defined using affine scaling techniques. Explicit sufficient decrease conditions based on the approximations are suggested for obtaining a limit point satisfying complementarity, Kuhn-Tucker conditions, and second order necessary conditions. The global convergence analysis of the method is presented in \cite{Li94b}.en_US
dc.format.extent257848 bytes
dc.format.extent285298 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypeapplication/postscript
dc.language.isoen_USen_US
dc.publisherCornell Universityen_US
dc.subjectcomputer scienceen_US
dc.subjecttechnical reporten_US
dc.titleA Trust Region and Affine Scaling Method for Nonlinearly ConstrainedMinimizationen_US
dc.typetechnical reporten_US


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