Results 31 to 40 of about 312,475 (283)

Extending the Domain with Application of Four-Step Nonlinear Scheme with Average Lipschitz Conditions

open access: yesMathematics, 2023
A novel local and semi-local convergence theorem for the four-step nonlinear scheme is presented. Earlier studies on local convergence were conducted without particular assumption on Lipschitz constant.
Akanksha Saxena   +3 more
doaj   +1 more source

Local Comparison between Two Ninth Convergence Order Algorithms for Equations

open access: yesAlgorithms, 2020
A local convergence comparison is presented between two ninth order algorithms for solving nonlinear equations. In earlier studies derivatives not appearing on the algorithms up to the 10th order were utilized to show convergence.
Samundra Regmi   +2 more
doaj   +1 more source

Semi-Federated Learning: Convergence Analysis and Optimization of a Hybrid Learning Framework [PDF]

open access: yesIEEE Transactions on Wireless Communications, 2023
Under the organization of the base station (BS), wireless federated learning (FL) enables collaborative model training among multiple devices. However, the BS is merely responsible for aggregating local updates during the training process, which incurs a
Jingheng Zheng   +5 more
semanticscholar   +1 more source

A Comparison Study of the Classical and Modern Results of Semi-Local Convergence of Newton–Kantorovich Iterations-II

open access: yesMathematics, 2022
This article is an independently written continuation of an earlier study with the same title [Mathematics, 2022, 10, 1225] on the Newton Process (NP). This process is applied to solve nonlinear equations. The complementing features are: the smallness of
Samundra Regmi   +3 more
doaj   +1 more source

Convergence Analysis and Latency Minimization for Semi-Federated Learning in Massive IoT Networks [PDF]

open access: yesIEEE Transactions on Green Communications and Networking, 2023
As the number of sensors becomes massive in Internet of Things (IoT) networks, the amount of data is humongous. To process data in real-time while protecting user privacy, federated learning (FL) has been regarded as an enabling technique to push edge ...
Jian-ji Ren   +3 more
semanticscholar   +1 more source

Unified Convergence Analysis of Two-Step Iterative Methods for Solving Equations

open access: yesEuropean Journal of Mathematical Analysis, 2021
In this paper we consider unified convergence analysis of two-step iterative methods for solving equations in the Banach space setting. The convergence order four was shown using Taylor expansions requiring the existence of the fifth derivative not on ...
Ioannis K. Argyros
doaj   +1 more source

Three-Step Derivative-Free Method of Order Six

open access: yesFoundations, 2023
Derivative-free iterative methods are useful to approximate the numerical solutions when the given function lacks explicit derivative information or when the derivatives are too expensive to compute.
Sunil Kumar   +3 more
doaj   +1 more source

Local convergence analysis of augmented Lagrangian method for nonlinear semidefinite programming [PDF]

open access: yesComputational optimization and applications, 2021
The augmented Lagrangian method (ALM) has gained tremendous popularity for its elegant theory and impressive numerical performance since it was proposed by Hestenes and Powell in 1969.
Shiwei Wang, Chao Ding
semanticscholar   +1 more source

Extending the Applicability of Highly Efficient Iterative Methods for Nonlinear Equations and Their Applications

open access: yesMathematics, 2022
Numerous three-step methods of high convergence order have been developed to produce sequences approximating solutions of equations usually defined on the Euclidean space with a finite dimension.
Ramandeep Behl   +3 more
doaj   +1 more source

Semi-Decentralized Federated Learning With Cooperative D2D Local Model Aggregations [PDF]

open access: yesIEEE Journal on Selected Areas in Communications, 2021
Federated learning has emerged as a popular technique for distributing machine learning (ML) model training across the wireless edge. In this paper, we propose two timescale hybrid federated learning (TT-HF), a semi-decentralized learning architecture ...
F. Lin   +4 more
semanticscholar   +1 more source

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