Zobrazeno 1 - 10
of 707
pro vyhledávání: '"RÉGINA, S."'
Publikováno v:
Pure and Applied Functional Analysis, Volume 8, Number 5, 2023
We propose a primal--dual technique that applies to infinite dimensional equality constrained problems, in particular those arising from optimal control. As an application of our general framework, we solve a control-constrained double integrator opt
Externí odkaz:
http://arxiv.org/abs/2304.03465
We explore the relationship between the dual of a weighted minimum-energy control problem, a special case of linear-quadratic optimal control problems, and the Douglas-Rachford (DR) algorithm. We obtain an expression for the fixed point of the DR ope
Externí odkaz:
http://arxiv.org/abs/2303.06527
Autor:
Burachik, Regina S., Liu, Xuemei
We propose a duality scheme for solving constrained nonsmooth and nonconvex optimization problems in a reflexive Banach space. We establish strong duality for a very general type of augmented Lagrangian, in which we assume a less restrictive type of
Externí odkaz:
http://arxiv.org/abs/2302.02072
Splitting and projection-type algorithms have been applied to many optimization problems due to their simplicity and efficiency, but the application of these algorithms to optimal control is less common. In this paper we utilize the Douglas--Rachford
Externí odkaz:
http://arxiv.org/abs/2210.17279
In this work, we consider a class of convex optimization problems in a real Hilbert space that can be solved by performing a single projection, i.e., by projecting an infeasible point onto the feasible set. Our results improve those established for t
Externí odkaz:
http://arxiv.org/abs/2210.11252
Autor:
Padigala, Chandra Tejaswi, Satpati, Gour Gopal, Singhvi, Mamata, Goswami, Lalit, Kushwaha, Anamika, Oraon, Sheetal, Aleksanyan, Kristine, Smykovskaya, Regina S., Rawindran, Hemamalini, Wei, Lim Jun, Rajak, Rajiv, Pandit, Soumya, Dikshit, Pritam Kumar
Publikováno v:
In International Journal of Hydrogen Energy 26 November 2024 92:672-693
Autor:
Peters, Pamela N., Whitaker, Regina S., Lim, Felicia, Russell, Shonagh, Bloom, Elizabeth A., Pollara, Justin, Strickland, Kyle C., Cantwell, Mark J., Beg, Amer, Berchuck, Andrew, Antonia, Scott, Previs, Rebecca A.
Publikováno v:
In Neoplasia November 2024 57
Autor:
Burachik, Regina S., Caldwell, Bethany I., Kaya, C. Yalçın, Moursi, Walaa M., Saurette, Matthew
The Douglas-Rachford and Peaceman-Rachford algorithms have been successfully employed to solve convex optimization problems, or more generally find zeros of monotone inclusions. Recently, the behaviour of these methods in the inconsistent case, i.e.,
Externí odkaz:
http://arxiv.org/abs/2201.06661
It is well known that the Newton method may not converge when the initial guess does not belong to a specific quadratic convergence region. We propose a family of new variants of the Newton method with the potential advantage of having a larger conve
Externí odkaz:
http://arxiv.org/abs/2103.14774
Publikováno v:
Journal of Optimization Theory and Applications, 190(3):744--778, 2021
Every maximally monotone operator can be associated with a family of convex functions, called the Fitzpatrick family or family of representative functions. Surprisingly, in 2017, Burachik and Mart\'inez-Legaz showed that the well-known Bregman distan
Externí odkaz:
http://arxiv.org/abs/2102.10730