11 citations · 14 across the 4 of their papers we have counts for
6 papers
The longest perimeter small triacontadigon
Bernd Mulansky, Andreas Potschka
We showcase a small triacontadigon, i.e. a convex -gon of unit diameter, with perimeter , which improves on all examples available so far.
On Symmetric Positive Definite Preconditioners for Multiple Saddle-Point Systems
John W. Pearson, Andreas Potschka
We consider symmetric positive definite preconditioners for multiple saddle-point systems of block tridiagonal form, which can be applied within the MINRES algorithm. We describe s…
Penalty alternating direction methods for mixed-integer optimal control with combinatorial constraints
Simone Göttlich, Falk M. Hante, Andreas Potschka +1
We consider mixed-integer optimal control problems with combinatorial constraints that couple over time such as minimum dwell times. We analyze a lifting and decomposition approach…
A Sequential Homotopy Method for Mathematical Programming Problems
Andreas Potschka, Hans Georg Bock
We propose a sequential homotopy method for the solution of mathematical programming problems formulated in abstract Hilbert spaces under the Guignard constraint qualification. The…
trlib: A vector-free implementation of the GLTR method for iterative solution of the trust region problem
Felix Lenders, Christian Kirches, Andreas Potschka
We describe trlib, a library that implements a variant of Gould's Generalized Lanczos method (Gould et al. in SIAM J. Opt. 9(2), 504-525, 1999) for solving the trust region problem…
Backward step control for Hilbert space problems
Andreas Potschka
We analyze backward step control globalization for finding zeros of Gâteaux-differentiable functions that map from a Banach space to a Hilbert space. The results include global con…