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Zbl 1146.90525
Ulbrich, Stefan
On the superlinear local convergence of a filter-SQP method. (English)
[J] Math. Program. 100, No. 1 (B), 217-245 (2004). ISSN 0025-5610; ISSN 1436-4646/e

Summary: Transition to superlinear local convergence is shown for a modified version of the trust-region filter-SQP method for nonlinear programming introduced by {\it R. Fletcher, S. Leyffer} and {\it Ph. L. Toint} [SIAM J. Optim. 13, No. 1, 44--59 (2002; Zbl 1029.65063)]. Hereby, the original trust-region SQP-steps can be used without an additional second order correction. The main modification consists in using the Lagrangian function value instead of the objective function value in the filter together with an appropriate infeasibility measure. Moreover, it is shown that the modified trust-region filter-SQP method has the same global convergence properties as the original algorithm in the paper cited above.

MSC 2000:: *90C55 Methods of successive quadratic programming type
90C30 Nonlinear programming

Citations: Zbl 1029.65063

Cited in: Zbl 1082.65062

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