Zobrazeno 1 - 10
of 98
pro vyhledávání: '"Aragón Artacho, Francisco"'
In this work, we present a methodology for devising forward-backward methods for finding zeros in the sum of a finite number of maximally monotone operators. We extend the framework and techniques from [SIAM J. Optim., 34 (2024), pp. 1569-1594] to co
Externí odkaz:
http://arxiv.org/abs/2406.03309
In this paper we introduce the Boosted Double-proximal Subgradient Algorithm (BDSA), a novel splitting algorithm designed to address general structured nonsmooth and nonconvex mathematical programs expressed as sums and differences of composite funct
Externí odkaz:
http://arxiv.org/abs/2306.17144
This paper addresses the study of a new class of nonsmooth optimization problems, where the objective is represented as a difference of two generally nonconvex functions. We propose and develop a novel Newton-type algorithm to solving such problems,
Externí odkaz:
http://arxiv.org/abs/2301.03491
In this paper we study the split minimization problem that consists of two constrained minimization problems in two separate spaces that are connected via a linear operator that maps one space into the other. To handle the data of such a problem we d
Externí odkaz:
http://arxiv.org/abs/2207.05663
In this work, we study resolvent splitting algorithms for solving composite monotone inclusion problems. The objective of these general problems is finding a zero in the sum of maximally monotone operators composed with linear operators. Our main con
Externí odkaz:
http://arxiv.org/abs/2202.09665
In this work, we propose and analyse forward-backward-type algorithms for finding a zero of the sum of finitely many monotone operators, which are not based on reduction to a two operator inclusion in the product space. Each iteration of the studied
Externí odkaz:
http://arxiv.org/abs/2112.00274
This note is devoted to the splitting algorithm proposed by Davis and Yin in 2017 for computing a zero of the sum of three maximally monotone operators, with one of them being cocoercive. We provide a direct proof that guarantees its convergence when
Externí odkaz:
http://arxiv.org/abs/2108.01318
Publikováno v:
In Applied Mathematics and Computation 1 March 2023 440
Autor:
Aragón-Artacho, Francisco J.1 (AUTHOR), Malitsky, Yura2 (AUTHOR), Tam, Matthew K.3 (AUTHOR), Torregrosa-Belén, David1 (AUTHOR) david.torregrosa@ua.es
Publikováno v:
Computational Optimization & Applications. Dec2023, Vol. 86 Issue 3, p845-870. 26p.
Publikováno v:
In Applied Mathematics and Computation 1 September 2024 476