Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Christopher Hendrich"'
Autor:
Radu Ioan Boţ, Christopher Hendrich
Publikováno v:
Inverse Problems and Imaging. 10:617-640
The aim of this article is to present two different primal-dual methods for solving structured monotone inclusions involving parallel sums of compositions of maximally monotone operators with linear bounded operators. By employing some elaborated spl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b6245443fc66efdd03409c85321c5c9
https://doi.org/10.3934/ipi.2016014
https://doi.org/10.3934/ipi.2016014
Publikováno v:
Applied Mathematics and Computation. 256:472-487
We propose an inertial Douglas-Rachford splitting algorithm for finding the set of zeros of the sum of two maximally monotone operators in Hilbert spaces and investigate its convergence properties. To this end we formulate first the inertial version
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6a3e141f810460c559f27a2dbbd942b1
https://doi.org/10.1016/j.amc.2015.01.017
https://doi.org/10.1016/j.amc.2015.01.017
Autor:
Radu Ioan Bot, Christopher Hendrich
Publikováno v:
TOP. 23:124-150
In this article we propose a method for solving unconstrained optimization problems with convex and Lipschitz continuous objective functions. By making use of the Moreau envelopes of the functions occurring in the objective, we smooth the latter to a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0718e1002f5a539b3f932818825f9d05
https://doi.org/10.1007/s11750-014-0326-z
https://doi.org/10.1007/s11750-014-0326-z
Publikováno v:
Mathematical Programming. 150:251-279
We present two modified versions of the primal-dual splitting algorithm relying on forward---backward splitting proposed in V $$\tilde{\mathrm{u}}$$ u ~ (Adv Comput Math 38(3):667---681, 2013) for solving monotone inclusion problems. Under strong mon
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f766e20b646d90363ba08f317b4af52e
https://doi.org/10.1007/s10107-014-0766-0
https://doi.org/10.1007/s10107-014-0766-0
Publikováno v:
Mathematics Without Boundaries ISBN: 9781493911233
This chapter presents a survey on primal–dual splitting methods for solving monotone inclusion problems involving maximally monotone operators, linear compositions of parallel sums of maximally monotone operators, and single-valued Lipschitzian or
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::36f381d25cce3805106dbbe98a43d839
https://doi.org/10.1007/978-1-4939-1124-0_3
https://doi.org/10.1007/978-1-4939-1124-0_3
Autor:
Radu Ioan Boţ, Christopher Hendrich
In this paper we investigate the applicability of a recently introduced primal-dual splitting method in the context of solving portfolio optimization problems which assume the minimization of risk measures associated to different convex utility funct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb7f69df91f34fefcb1092bbe711d740
http://arxiv.org/abs/1304.7694
http://arxiv.org/abs/1304.7694
Autor:
Radu Ioan Boţ, Christopher Hendrich
In this paper we investigate the convergence behavior of a primal-dual splitting method for solving monotone inclusions involving mixtures of composite, Lipschitzian and parallel sum type operators proposed by Combettes and Pesquet (in Set-Valued Var
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d9b935e01f96c4f5a81b7bb0b260183
http://arxiv.org/abs/1211.1706
http://arxiv.org/abs/1211.1706
On the acceleration of the double smoothing technique for unconstrained convex optimization problems
Autor:
Christopher Hendrich, Radu Ioan Boţ
In this article we investigate the possibilities of accelerating the double smoothing technique when solving unconstrained nondifferentiable convex optimization problems. This approach relies on the regularization in two steps of the Fenchel dual pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b0ed50e39323deacc92ae55cfa5bbe2
http://arxiv.org/abs/1205.0721
http://arxiv.org/abs/1205.0721
Autor:
Christopher Hendrich, Radu Ioan Boţ
The aim of this paper is to develop an efficient algorithm for solving a class of unconstrained nondifferentiable convex optimization problems in finite dimensional spaces. To this end we formulate first its Fenchel dual problem and regularize it in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b70426cd1764c86774581c3619d57dd
http://arxiv.org/abs/1203.2070
http://arxiv.org/abs/1203.2070
Autor:
Radu Ioan Boţ, Christopher Hendrich
In this paper we propose two different primal-dual splitting algorithms for solving inclusions involving mixtures of composite and parallel-sum type monotone operators which rely on an inexact Douglas-Rachford splitting method, however applied in dif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::86a467b572eebc9fc0fc8f4c6506a9db