56 citations · 122 across the 9 of their papers we have counts for
9 papers
All Hilbert spaces are the same: consequences for generalized coordinates and momenta
S. J. van Enk, Daniel A. Steck
Making use of the simple fact that all separable complex Hilbert spaces of given dimension are isomorphic, we show that there are just six basic ways to define generalized coordina…
Anatomy of an extreme event: What can we infer about the history of a heavy-tailed random walk?
Wesley W. Erickson, Daniel A. Steck
Extreme events are by nature rare and difficult to predict, yet are often much more important than frequent, typical events. An interesting counterpoint to the prediction of such e…
Regularization of Limited Memory Quasi-Newton Methods for Large-Scale Nonconvex Minimization
Daniel Steck, Christian Kanzow
This paper deals with regularized Newton methods, a flexible class of unconstrained optimization algorithms that is competitive with line search and trust region methods and potent…
Brezis pseudomonotonicity is strictly weaker than Ky-Fan hemicontinuity
Daniel Steck
In 1968, H. Brezis introduced a notion of operator pseudomonotonicity which provides a unified approach to monotone and nonmonotone variational inequalities (VIs). A closely relate…
Quasi-Variational Inequalities in Banach Spaces: Theory and Augmented Lagrangian Methods
Christian Kanzow, Daniel Steck
This paper deals with quasi-variational inequality problems (QVIs) in a generic Banach space setting. We provide a theoretical framework for the analysis of such problems which is…
Relaxation schemes for mathematical programs with switching constraints
Christian Kanzow, Patrick Mehlitz, Daniel Steck
Switching-constrained optimization problems form a difficult class of mathematical programs since their feasible set is almost disconnected while standard constraint qualifications…
Augmented Lagrangian Methods for the Solution of Generalized Nash Equilibrium Problems
Christian Kanzow, Daniel Steck
We propose an augmented Lagrangian-type algorithm for the solution of generalized Nash equilibrium problems (GNEPs). Specifically, we discuss the convergence properties with regard…
An Augmented Lagrangian Method for Optimization Problems in Banach Spaces
Christian Kanzow, Daniel Steck, Daniel Wachsmuth
We propose a variant of the classical augmented Lagrangian method for constrained optimization problems in Banach spaces. Our theoretical framework does not require any convexity o…
On Error Bounds and Multiplier Methods for Variational Problems in Banach Spaces
Christian Kanzow, Daniel Steck
This paper deals with a general form of variational problems in Banach spaces which encompasses variational inequalities as well as minimization problems. We prove a characterizati…