Results 11 to 20 of about 24,727 (168)
Strong Convergence of a Two-Step Modified Newton Method for Weighted Complementarity Problems
Axioms, 2023 This paper focuses on the weighted complementarity problem (WCP), which is widely used in the fields of economics, sciences and engineering. Not least because of its local superlinear convergence rate, smoothing Newton methods have widespread application
Xiangjing Liu, Jianke Zhang
doaj +1 more source
A New Newton Method with Memory for Solving Nonlinear Equations
Mathematics, 2020 A new Newton method with memory is proposed by using a variable self-accelerating parameter. Firstly, a modified Newton method without memory with invariant parameter is constructed for solving nonlinear equations. Substituting the invariant parameter of
Xiaofeng Wang, Yuxi Tao
doaj +1 more source
Journal of Mathematics, 2021 For solving the large sparse linear systems with 2×2 block structure, the generalized successive overrelaxation (GSOR) iteration method is an efficient iteration method. Based on the GSOR method, the PGSOR method introduces a preconditioned matrix with a
Yu-Ye Feng, Qing-Biao Wu
doaj +1 more source
GPU-Based Sparse Power Flow Studies With Modified Newton’s Method
IEEE Access, 2021 The Power system is getting larger and more complicated due to development of multiple energy supplies. Solving large-scale power flow equations efficiently plays an essential role in analysis of power system and optimizing their performance during ...
Lei Zeng +2 more
doaj +1 more source
A descent modified Hager-Zhang conjugate gradient method and its global convergence [PDF]
المجلة العراقية للعلوم الاحصائية, 2011 In this paper, based on the memoryless BFGS quasi-Newton method, we propose a new modified Hager-Zhang (HZ) type method. An attractive property of the proposed method is that the direction generated by the method is always a descent direction for the ...
Ghada M. Al-Naemi, Huda I. Ahmed
doaj +1 more source
A quasi-Newton modified LP-Newton method
Optimization Methods and Software, 2017 Fil: Martinez, Maria de Los Angeles. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro Cientifico Tecnologico Conicet - Cordoba. Centro de Investigacion y Estudios de Matematica. Universidad Nacional de Cordoba.
Martinez Arraigada, Maria de Los Angeles +1 more
openaire +2 more sources
A MODIFIED INEXACT NEWTON METHOD
Journal of applied mathematics & informatics, 2015 In this paper, we consider a modified inexact Newton method for solving a nonlinear system F(x) = 0 where F(x) : R n → R n . The basic idea is to accelerate convergence. A semi-local convergence theorem for the modified inexact Newton method is established and an affineinvariant version is also given.
Pengzhan Huang, Abdurishit Abduwali
openaire +2 more sources
A Study of Modified Newton-Raphson Method [PDF]
Journal of University of Shanghai for Science and Technology, 2021 A basic alteration of the standard Newton technique is investigated and described for the approximation of the roots of a univariate function. For a similar number of functions and evaluation of the derivative, an altered strategy combines quicker, with the convergence of the modified NR’s method being 2.4 as compared with the regular NR method which ...
openaire +1 more source
Three-Dimensional Nonlinear Integral Operator with the Modelling of Majorant Function
مجلة بغداد للعلوم, 2021 In this paper, the process for finding an approximate solution of nonlinear three-dimensional (3D) Volterra type integral operator equation (N3D-VIOE) in R3 is introduced.
Hameed Husam Hameed, Hayder M Al-Saedi
doaj +1 more source
On the local convergence of the Modified Newton method
Annals of the West University of Timisoara: Mathematics and Computer Science, 2019 The aim of this paper is to investigate the local convergence of the Modified Newton method, i.e. the classical Newton method in which the first derivative is re-evaluated periodically after m steps. The convergence order is shown to be m + 1.
Măruşter Ştefan
doaj +1 more source