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math.OC2024
Infeasible and Critically Feasible Optimal Control
Regina S. Burachik, C. Yalçın Kaya, Walaa M. Moursi
We consider optimal control problems involving two constraint sets: one comprised of linear ordinary differential equations with the initial and terminal states specified and the o…
math.OC2023
Accelerated gradient descent: A guaranteed bound for a heuristic restart strategy
Walaa M. Moursi, Viktor Pavlovic, Stephen A. Vavasis
The convergence rate in function value of accelerated gradient descent is optimal, but there are many modifications that have been used to speed up convergence in practi…
math.OC2023
How averaged is the composition of two linear projections?
Heinz H. Bauschke, Theo Bendit, Walaa M. Moursi
Projection operators are fundamental algorithmic operators in Analysis and Optimization. It is well known that these operators are firmly nonexpansive; however, their composition i…