@misc{BenkoMehlitz, author = {Benko, Mat{\´u}š and Mehlitz, Patrick}, title = {Why second-order sufficient conditions are, in a way, easy -- or -- revisiting calculus for second subderivatives}, series = {arXiv}, journal = {arXiv}, pages = {1 -- 43}, language = {en} } @misc{JolaosoMehlitzZemkoho, author = {Jolaoso, Lateef O. and Mehlitz, Patrick and Zemkoho, Alain B.}, title = {A fresh look at nonsmooth Levenberg-Marquardt methods with applications to bilevel optimization}, series = {Optimization}, volume = {2024}, journal = {Optimization}, publisher = {Taylor\&Francis}, doi = {10.1080/02331934.2024.2313688}, pages = {1 -- 48}, language = {en} } @misc{BenkoMehlitz, author = {Benko, Mat{\´u}š and Mehlitz, Patrick}, title = {On the directional asymptotic approach in optimization theory}, series = {Mathematical Programming}, journal = {Mathematical Programming}, issn = {1436-4646}, doi = {10.1007/s10107-024-02089-w}, pages = {79}, language = {en} } @misc{HoffMehlitz, author = {Hoff, Daniel and Mehlitz, Patrick}, title = {Notes on the value function approach to multiobjective bilevel optimization}, series = {Optimization}, volume = {73}, journal = {Optimization}, number = {10}, doi = {10.1080/02331934.2024.2323107}, pages = {3147 -- 3183}, language = {en} } @misc{GoettlichMehlitzSchillinger, author = {G{\"o}ttlich, Simone and Mehlitz, Patrick and Schillinger, Thomas}, title = {Inverse demand tracking in transportation networks}, series = {Mathematical Methods of Operations Research}, journal = {Mathematical Methods of Operations Research}, issn = {1432-5217}, doi = {10.1007/s00186-024-00875-y}, pages = {34}, language = {en} } @misc{HoffMehlitz, author = {Hoff, Daniel and Mehlitz, Patrick}, title = {Notes on the value function approach to multiobjective bilevel optimization}, series = {arXiv}, journal = {arXiv}, pages = {1 -- 32}, language = {en} } @misc{JiaKanzowMehlitz, author = {Jia, Xiaoxi and Kanzow, Christian and Mehlitz, Patrick}, title = {Convergence analysis of the proximal gradient method in the presence of the Kurdyka-Łojasiewicz property without global Lipschitz assumptions}, series = {arXiv}, journal = {arXiv}, doi = {10.48550/arXiv.2301.05002}, pages = {1 -- 23}, language = {en} } @misc{DeMarchiMehlitz, author = {De Marchi, Alberto and Mehlitz, Patrick}, title = {Local properties and augmented Lagrangians in fully nonconvex composite optimization}, series = {arXiv}, journal = {arXiv}, doi = {10.48550/arXiv.2309.01980}, pages = {1 -- 42}, language = {en} } @misc{JolaosoMehlitzZemkoho, author = {Jolaoso, Lateef O. and Mehlitz, Patrick and Zemkoho, Alain B.}, title = {A fresh look at nonsmooth Levenberg-Marquardt methods with applications to bilevel optimization}, series = {arXiv}, journal = {arXiv}, doi = {10.48550/arXiv.2305.19870}, pages = {1 -- 41}, language = {en} } @misc{DempeFriedemannHarderetal., author = {Dempe, Stephan and Friedemann, Markus and Harder, Felix and Mehlitz, Patrick and Wachsmuth, Gerd}, title = {Bilevel optimal control: theory, algorithms, and applications}, series = {arXiv}, journal = {arXiv}, doi = {10.48550/arXiv.2305.19786}, pages = {1 -- 31}, language = {en} } @misc{FabianKrugerMehlitz, author = {Fabian, Mari{\´a}n and Kruger, Alexander Y. and Mehlitz, Patrick}, title = {Nonsmooth multiplier, sum and intersection rules in non-Lipschitzian settings: decoupling approach revisited}, series = {arXiv}, journal = {arXiv}, pages = {1 -- 40}, language = {en} } @misc{KanzowKraemerMehlitzetal., author = {Kanzow, Christian and Kr{\"a}mer, Fabius and Mehlitz, Patrick and Wachsmuth, Gerd and Werner, Frank}, title = {A nonsmooth augmented Lagrangian method and its application to Poisson denoising and sparse control}, series = {arXiv}, journal = {arXiv}, doi = {10.48550/arXiv.2304.06434}, pages = {1 -- 36}, language = {en} }