28 citations · 29 across the 8 of their papers we have counts for
4 papers · 1 filter
Steklov Regularization and Trajectory Methods for Univariate Global Optimization
Orhan Arıkan, Regina S. Burachik, C. Yalçın Kaya
We introduce a new regularization technique, using what we refer to as the Steklov regularization function, and apply this technique to devise an algorithm that computes a global m…
Optimal Residuals and the Dahlquist Test Problem
Robert M. Corless, C. Yalcin Kaya, Robert H. C. Moir
We show how to compute the \emph{optimal relative backward error} for the numerical solution of the Dahlquist test problem by one-step methods. This is an example of a general appr…
Constraint Splitting and Projection Methods for Optimal Control of Double Integrator
Heinz H. Bauschke, Regina S. Burachik, C. Yalçın Kaya
We consider the minimum-energy control of a car, which is modelled as a point mass sliding on the ground in a fixed direction, and so it can be mathematically described as the doub…
Markov-Dubins Interpolating Curves
C. Yalçın Kaya
A realistic generalization of the Markov--Dubins problem, which is concerned with finding the shortest planar curve of constrained curvature joining two points with prescribed tang…