Zobrazeno 1 - 10
of 552
pro vyhledávání: '"Gibali, A."'
The superiorization methodology (SM) is an optimization heuristic in which an iterative algorithm, which aims to solve a particular problem, is ``superiorized'' to promote solutions that are improved with respect to some secondary criterion. This sup
Externí odkaz:
http://arxiv.org/abs/2410.23401
In this paper we propose an approach for solving systems of nonlinear equations without computing function derivatives. Motivated by the application area of tomographic absorption spectroscopy, which is a highly-nonlinear problem with variables coupl
Externí odkaz:
http://arxiv.org/abs/2405.08635
Autor:
Gibali, Aviv, Haltmeier, Markus
Inverse problems are characterized by their inherent non-uniqueness and sensitivity with respect to data perturbations. Their stable solution requires the application of regularization methods including variational and iterative regularization method
Externí odkaz:
http://arxiv.org/abs/2310.09431
Publikováno v:
Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 117, Article number: 88 (2023)
The notion of well-posedness has drawn the attention of many researchers in the field of nonlinear analysis, as it allows to explore problems in which exact solutions are not known and/or computationally hard to compute. Roughly speaking, for a given
Externí odkaz:
http://arxiv.org/abs/2208.07126
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 focus on the convex feasibility problem (CFP) in Hilbert space. A specific method in this area that has gained a lot of interest in recent years is the Douglas-Rachford (DR) algorithm. This algorithm was originally introduced in 1956
Externí odkaz:
http://arxiv.org/abs/2204.00275
Autor:
Singh, Shipra1 (AUTHOR) shiprasingh384@gmail.com, Gibali, Aviv2 (AUTHOR) avivgi@hit.ac.il, Reich, Simeon3 (AUTHOR) sreich@technion.ac.il
Publikováno v:
Mathematics (2227-7390). Aug2024, Vol. 12 Issue 16, p2453. 30p.
Publikováno v:
Carpathian Journal of Mathematics, 2023 Jan 01. 39(3), 583-603.
Externí odkaz:
https://www.jstor.org/stable/27225890
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-28 (2023)
Abstract In this paper we focus on solving the classical variational inequality (VI) problem. Most common methods for solving VIs use some kind of projection onto the associated feasible set. Thus, when the involved set is not simple to project onto,
Externí odkaz:
https://doaj.org/article/d86203b6d1f64de299cff7d6ce810326
Inverse problems consist of recovering a signal from a collection of noisy measurements. These problems can often be cast as feasibility problems; however, additional regularization is typically necessary to ensure accurate and stable recovery with r
Externí odkaz:
http://arxiv.org/abs/2104.14090