TY - GEN A1 - Jia, Xiaoxi A1 - Kanzow, Christian A1 - Mehlitz, Patrick T1 - Convergence analysis of the proximal gradient method in the presence of the Kurdyka-Łojasiewicz property without global Lipschitz assumptions T2 - arXiv Y1 - 2023 U6 - https://doi.org/10.48550/arXiv.2301.05002 SP - 1 EP - 23 ER - TY - GEN A1 - De Marchi, Alberto A1 - Mehlitz, Patrick T1 - Local properties and augmented Lagrangians in fully nonconvex composite optimization T2 - arXiv Y1 - 2023 U6 - https://doi.org/10.48550/arXiv.2309.01980 SP - 1 EP - 42 ER - TY - GEN A1 - Jolaoso, Lateef O. A1 - Mehlitz, Patrick A1 - Zemkoho, Alain B. T1 - A fresh look at nonsmooth Levenberg-Marquardt methods with applications to bilevel optimization T2 - arXiv Y1 - 2023 U6 - https://doi.org/10.48550/arXiv.2305.19870 SP - 1 EP - 41 ER - TY - GEN A1 - Dempe, Stephan A1 - Friedemann, Markus A1 - Harder, Felix A1 - Mehlitz, Patrick A1 - Wachsmuth, Gerd T1 - Bilevel optimal control: theory, algorithms, and applications T2 - arXiv Y1 - 2023 U6 - https://doi.org/10.48550/arXiv.2305.19786 SP - 1 EP - 31 ER - TY - GEN A1 - Fabian, Marián A1 - Kruger, Alexander Y. A1 - Mehlitz, Patrick T1 - Nonsmooth multiplier, sum and intersection rules in non-Lipschitzian settings: decoupling approach revisited T2 - arXiv Y1 - 2023 UR - https://arxiv.org/abs/2305.08484 SP - 1 EP - 40 ER - TY - GEN A1 - Kanzow, Christian A1 - Krämer, Fabius A1 - Mehlitz, Patrick A1 - Wachsmuth, Gerd A1 - Werner, Frank T1 - A nonsmooth augmented Lagrangian method and its application to Poisson denoising and sparse control T2 - arXiv Y1 - 2023 U6 - https://doi.org/10.48550/arXiv.2304.06434 SP - 1 EP - 36 ER - TY - GEN A1 - De Marchi, Alberto A1 - Jia, Xiaoxi A1 - Kanzow, Christian A1 - Mehlitz, Patrick T1 - Constrained composite optimization and augmented Lagrangian methods T2 - Mathematical Programming Y1 - 2023 U6 - https://doi.org/10.1007/s10107-022-01922-4 SN - 0025-5610 SN - 1436-4646 VL - Vol. 201 IS - 1 SP - 863 EP - 896 ER - TY - GEN A1 - Jia, Xiaoxi A1 - Kanzow, Christian A1 - Mehlitz, Patrick T1 - Convergence analysis of the proximal gradient method in the presence of the Kurdyka-Łojasiewicz property without global Lipschitz assumptions T2 - SIAM Journal on Optimization Y1 - 2023 U6 - https://doi.org/10.1137/23m1548293 SN - 1095-7189 SN - 1052-6234 VL - 33 IS - 4 SP - 3038 EP - 3056 ER - TY - GEN A1 - Fabian, Marián A1 - Kruger, Alexander Y. A1 - Mehlitz, Patrick T1 - Fuzzy multiplier, sum and intersection rules in non-Lipschitzian settings: Decoupling approach revisited T2 - Journal of Mathematical Analysis and Applications Y1 - 2024 U6 - https://doi.org/10.1016/j.jmaa.2023.127985 SN - 1096-0813 SN - 0022-247X VL - 532 IS - 2 SP - 1 EP - 39 ER - TY - GEN A1 - Benko, Matúš A1 - Mehlitz, Patrick T1 - Why second-order sufficient conditions are, in a way, easy - or - revisiting calculus for second subderivatives T2 - Journal of Convex Analysis Y1 - 2023 UR - https://www.heldermann.de/JCA/JCA30/JCA302/jca30031.htm VL - 30 IS - 2 SP - 541 EP - 589 ER - TY - GEN A1 - Mehlitz, Patrick T1 - A simple proof of second-order sufficient optimality conditions in nonlinear semidefinite optimization T2 - Optimization Letters Y1 - 2023 U6 - https://doi.org/10.1007/s11590-023-02031-7 SN - 1862-4480 SN - 1862-4472 ER - TY - GEN A1 - Kanzow, Christian A1 - Krämer, Fabius A1 - Mehlitz, Patrick A1 - Wachsmuth, Gerd A1 - Werner, Frank T1 - Variational Poisson denoising via augmented Lagrangian methods T2 - ETNA - Electronic Transactions on Numerical Analysis Y1 - 2025 U6 - https://doi.org/10.1553/etna_vol63s33 VL - 63 SP - 33 EP - 62 ER - TY - GEN A1 - De Marchi, Alberto A1 - Mehlitz, Patrick T1 - Local properties and augmented Lagrangians in fully nonconvex composite optimization T2 - Journal of Nonsmooth Analysis and Optimizaton Y1 - 2024 U6 - https://doi.org/10.46298/jnsao-2024-12235 VL - 5 ER -