dc.contributor.author Li, Yuying en_US dc.date.accessioned 2007-04-23T16:26:06Z dc.date.available 2007-04-23T16:26:06Z dc.date.issued 1994-11 en_US dc.identifier.citation http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.cs/TR94-1463 en_US dc.identifier.uri https://hdl.handle.net/1813/6072 dc.description.abstract A 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.extent 257848 bytes dc.format.extent 285298 bytes dc.format.mimetype application/pdf dc.format.mimetype application/postscript dc.language.iso en_US en_US dc.publisher Cornell University en_US dc.subject computer science en_US dc.subject technical report en_US dc.title A Trust Region and Affine Scaling Method for Nonlinearly ConstrainedMinimization en_US dc.type technical report en_US
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