5 citations · 8 across the 4 of their papers we have counts for
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Inexact Proximal Newton methods in Hilbert spaces
Bastian Pötzl, Anton Schiela, Patrick Jaap
We consider Proximal Newton methods with an inexact computation of update steps. To this end, we introduce two inexactness criteria which characterize sufficient accuracy of these…
Second order semi-smooth Proximal Newton methods in Hilbert spaces
Bastian Pötzl, Anton Schiela, Patrick Jaap
We develop a globalized Proximal Newton method for composite and possibly non-convex minimization problems in Hilbert spaces. Additionally, we impose less restrictive assumptions o…
A primal dual projection algorithm for efficient constraint preconditioning
Anton Schiela, Matthias Stöcklein, Martin Weiser
We consider a linear iterative solver for large scale linearly constrained quadratic minimization problems that arise, for example, in optimization with PDEs. By a primal-dual proj…
An SQP method for equality constrained optimization on manifolds
Anton Schiela, Julian Ortiz
We extend the class of SQP methods for equality constrained optimization to the setting of differentiable manifolds. The use of retractions and stratifications allows us to pull ba…
Optimal control of elliptic equations with positive measures
Christian Clason, Anton Schiela
Optimal control problems without control costs in general do not possess solutions due to the lack of coercivity. However, unilateral constraints together with the assumption of ex…