A stabilized filter SQP algorithm for nonlinear programming
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DOI: 10.1007/s10898-015-0400-6
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- R. Andreani & J. M. Martinez & M. L. Schuverdt, 2005. "On the Relation between Constant Positive Linear Dependence Condition and Quasinormality Constraint Qualification," Journal of Optimization Theory and Applications, Springer, vol. 125(2), pages 473-483, May.
- Andreas Fischer, 1999. "Modified Wilson's Method for Nonlinear Programs with Nonunique Multipliers," Mathematics of Operations Research, INFORMS, vol. 24(3), pages 699-727, August.
- A. Izmailov & A. Kurennoy & M. Solodov, 2015. "Local convergence of the method of multipliers for variational and optimization problems under the noncriticality assumption," Computational Optimization and Applications, Springer, vol. 60(1), pages 111-140, January.
- Chungen Shen & Sven Leyffer & Roger Fletcher, 2012. "A nonmonotone filter method for nonlinear optimization," Computational Optimization and Applications, Springer, vol. 52(3), pages 583-607, July.
- Zsolt Ugray & Leon Lasdon & John Plummer & Fred Glover & James Kelly & Rafael Martí, 2007. "Scatter Search and Local NLP Solvers: A Multistart Framework for Global Optimization," INFORMS Journal on Computing, INFORMS, vol. 19(3), pages 328-340, August.
- Daniel Ralph & Stephen J. Wright, 2000. "Superlinear Convergence of an Interior-Point Method Despite Dependent Constraints," Mathematics of Operations Research, INFORMS, vol. 25(2), pages 179-194, May.
- Joseph Frédéric Bonnans & Alexander Ioffe, 1995. "Second-order Sufficiency and Quadratic Growth for Nonisolated Minima," Mathematics of Operations Research, INFORMS, vol. 20(4), pages 801-817, November.
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Cited by:
- Renke Kuhlmann & Christof Büskens, 2018. "A primal–dual augmented Lagrangian penalty-interior-point filter line search algorithm," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 87(3), pages 451-483, June.
- Songqiang Qiu, 2019. "Convergence of a stabilized SQP method for equality constrained optimization," Computational Optimization and Applications, Springer, vol. 73(3), pages 957-996, July.
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Keywords
Stabilized SQP; Filter; Cone-continuity property; Global convergence; Local convergence;All these keywords.
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