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- W2317404785 abstract "A penalty-free method is introduced for solving nonlinearprogramming with nonlinear equality constraints. This method doesnot use any penalty function, nor a filter. It uses trust regiontechnique to compute trial steps. By comparing the measures offeasibility and optimality, the algorithm either tries to reduce thevalue of objective function by solving a normal subproblem and atangential subproblem or tries to improve feasibility by solving anormal subproblem only. In order to guarantee global convergence,the measure of constraint violation in each iteration is requirednot to exceed a progressively decreasing limit. Under usualassumptions, we prove that the given algorithm is globallyconvergent to first order stationary points. Preliminary numericalresults on CUTEr problems are reported." @default.
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- W2317404785 date "2013-01-01" @default.
- W2317404785 modified "2023-09-24" @default.
- W2317404785 title "A penalty-free method for equality constrained optimization" @default.
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- W2317404785 doi "https://doi.org/10.3934/jimo.2013.9.391" @default.
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