A bundle-free implicit programming approach for a class of elliptic MPECs in function space

Using a standard first-order optimality condition for nonsmooth optimization problems, a general framework for a descent method is developed. This setting is applied to a class of mathematical programs with equilibrium constraints in function space from which a new algorithm is derived. Global conve...

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Bibliographic Details
Published in:	Mathematical programming Vol. 160; no. 1-2; pp. 271 - 305
Main Authors:	Hintermüller, M., Surowiec, T.
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2016 Springer Nature B.V
Subjects:	Algorithms Approximation Calculus of Variations and Optimal Control; Optimization Combinatorics Convergence Experiments Full Length Paper Function space Mathematical analysis Mathematical and Computational Physics Mathematical Methods in Physics Mathematical models Mathematical programming Mathematics Mathematics and Statistics Mathematics of Computing Numerical Analysis Optimization Partial differential equations Programming Studies Theoretical Implicit programming 49K21 49K20 Elliptic MPEC 49J52 90C33 Nonsmooth optimization 49M05 Optimal control of variational inequalities 65Kxx Elliptic variational inequality
ISSN:	0025-5610, 1436-4646
Online Access:	Get full text
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