Tootfinder

New Lagrangian framework for optimality conditions in optimal control of second order systems
Michael Konopik, Sigrid Leyendecker, Sofya Maslovskaya, Sina Ober-Bl\"obaum, Rodrigo T. Sato Mart\'in de Almagro
https://arxiv.org/abs/2507.06024

New Lagrangian framework for optimality conditions in optimal control of second order systems
It has been shown recently that optimal control problems with the dynamical constraint given by a second order system admit a regular Lagrangian formulation. This implies that the optimality conditions can be obtained in a new form based on the variational approach. In this paper we extend the first order necessary optimality conditions obtained previously to second order optimality conditions and discuss the role of the new Lagrangian.

🇺🇦 #NowPlaying on BBCRadio3's #Breakfast
Josef Rheinberger, Zoltšn Gyöngyössy, Ica Csizmadia, Csaba Klenyšn, György Lakatos, Gabor Bizjak, Péter Somogyi, Marta Melis, Marcell Vamos & Istvšn Lukšcshšzi:
🎵 Nonet in E flat major, Op 139 (4th mvt)
#JosefRheinberger

Heavy-heavy and heavy-light mesons in cold nuclear matter
J. J. Cobos-Mart\'inez, Guilherme N. Zeminiani, Kazuo Tsushima
https://arxiv.org/abs/2506.08946

Heavy-heavy and heavy-light mesons in cold nuclear matter
We review the in-medium modifications of effective masses (Lorentz scalar potentials or phenomenon of mass shift) of heavy-heavy and heavy-light mesons in symmetric nuclear matter and their nuclear bound states. We use a combined approach with the quark-meson coupling (QMC) model and an effective Lagrangian. As demonstrated by the cases of pionic and kaonic atoms, studies of meson-nucleus bound state can provide us with important information on chiral symmetry in dense nuclear medium. In this r…

More evidence for the claim that “everyone outside the Fediverse is pro-Israel & ignores #Gaza”: In #Germany,
- 43% are in favour of limiting arms supplies,
- 30% are for a complete stop,
- 73% find the civilian casualties unacceptable,
- 63% are in favour of increased politi…

Umfrage zum Gazakrieg: Mehrheit in Deutschland für Begrenzung oder Stopp von Waffenlieferungen an Israel
Nicht nur in der Bundesregierung wird die Kritik am israelischen Vorgehen im Gazastreifen lauter. Auch die deutsche Bevölkerung blickt zunehmend skeptisch auf die israelische Regierung, wie eine neue Umfrage zeigt.

A derivative-free regularization algorithm for equality constrained nonlinear least squares problems
Xi Chen, Jinyan Fan
https://arxiv.org/abs/2507.05623 h…

A derivative-free regularization algorithm for equality constrained nonlinear least squares problems
In this paper, we study the equality constrained nonlinear least squares problem, where the Jacobian matrices of the objective function and constraints are unavailable or expensive to compute. We approximate the Jacobian matrices via orthogonal spherical smoothing and propose a derivative-free regularization algorithm for solving the problem. At each iteration, a regularized augmented Lagrangian subproblem is solved to obtain a Newton-like step. If a sufficient decrease in the merit function of…

#LB Combina muito com este desabafo do Miragaya que estš lš no meio da treta, por conta de um governo que ele jamais apoiou.
E, por favor, não façam comparações esdrúxulas de guerra com a violência urbana de comunidades do Rio de Janeiro ou da Baixada Fluminense. Por mais terrível que a violência urbana seja, só um completo idiota a compara com uma guerra de verdade, que destrói tudo em seu c…

Tree-based adaptive finite element methods for deformable image registration
Nicol\'as A. Barnafi, Alberto F. Mart{\i}n, Ricardo Ruiz-Baier
https://arxiv.org/abs/2506.15876

Tree-based adaptive finite element methods for deformable image registration
In this work we propose an adaptive Finite Element Method (FEM) formulation for the Deformable Image Registration problem (DIR) together with a residual-based a posteriori error estimator, whose efficiency and reliability are theoretically established. This estimator is used to guide Adaptive Mesh Refinement and coarsening (AMR). The nonlinear Euler-Lagrange equations associated with the minimisation of the relevant functional are solved with a pseudo time-stepping fixed-point scheme which is f…