Proves quadratic convergence and stability of an SQP method for abstract optimization problems in L^q spaces under no-gap SOSOC and strict complementarity, with PDE control examples.
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Workshop notes explain models, subproblems, globalization, and convergence assumptions for PIPA, monotone-LCP PIPA, implicit-programming, and PSQP algorithms applied to MPECs.
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Quadratic convergence of an SQP method for some optimization problems with applications to control theory
Proves quadratic convergence and stability of an SQP method for abstract optimization problems in L^q spaces under no-gap SOSOC and strict complementarity, with PDE control examples.
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Optimization Workshop Notes for Mathematical Programming with Equilibrium Constraints Algorithms: Penalty Interior-Point, Implicit-Programming, and Piecewise SQP
Workshop notes explain models, subproblems, globalization, and convergence assumptions for PIPA, monotone-LCP PIPA, implicit-programming, and PSQP algorithms applied to MPECs.