Results 31 to 40 of about 228,877 (212)
Extending the Applicability of Newton’s Algorithm with Projections for Solving Generalized Equations
Applied System Innovation, 2020 A new technique is developed to extend the convergence ball of Newton’s algorithm with projections for solving generalized equations with constraints on the multidimensional Euclidean space. This goal is achieved by locating a more precise region than in
Michael I. Argyros +4 more
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Heavy Ball Restarted CMRH Methods for Linear Systems
Mathematical and Computational Applications, 2018 The restarted CMRH method (changing minimal residual method based on the Hessenberg process) using fewer operations and storage is an alternative method to the restarted generalized minimal residual method (GMRES) method for linear systems.
Zhongming Teng, Xuansheng Wang
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Lubricants, 2023 The complex sliding behavior inside ball bearings seriously affects the mechanical system’s performance. Current dynamic models for predicting this behavior suffer from poor generality and convergence.
Shuaijun Ma +5 more
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On the Convergence of a Kurchatov-Type Method for Solving Nonlinear Equations and Its Applications
AppliedMathA local and a semi-local convergence analysis are presented for the Kurchatov-type method to solve numerically nonlinear equations in a Banach space. The method depends on a real parameter. By specializing the parameter, we obtain methods already studied
Ioannis K. Argyros +2 more
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Mathematical Problems in Engineering, 2019 The main contribution of this study is to present a new optimal eighth‐order scheme for locating zeros with multiplicity m ≥ 1. An extensive convergence analysis is presented with the main theorem in order to demonstrate the optimal eighth‐order convergence of the proposed scheme.
Ramandeep Behl +3 more
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Convergence analysis of a proximal Gauss-Newton method
, 2011 An extension of the Gauss-Newton algorithm is proposed to find local minimizers of penalized nonlinear least squares problems, under generalized Lipschitz assumptions.
Salzo, Saverio, Villa, Silvia
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On Newton's method for subanalytic equations
Journal of Numerical Analysis and Approximation Theory, 2017 We present local and semilocal convergence results for Newton’s method in order to approximate solutions of subanalytic equations. The local convergence results are given under weaker conditions than in earlier studies such as [9], [10], [14], [15], [24]
Ioannis K. Argyros, Santhosh George
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A convergence ball for multistep simplified newton-like methods [PDF]
Numerical Functional Analysis and Optimization, 1993 We first give a local convergence ball for multistep simplified Newton-like methods for solving nonlinear equations with nondifferentiable operators. Next we apply the results to some iterative methods and derive Rheinboldt's ball for Newton's method.
Xiaojun Chen, Tetsuro Yamamoto
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On the Global Convergence of Continuous-Time Stochastic Heavy-Ball Method for Nonconvex Optimization
, 2019 We study the convergence behavior of the stochastic heavy-ball method with a small stepsize. Under a change of time scale, we approximate the discrete method by a stochastic differential equation that models small random perturbations of a coupled system
Hu, Wenqing +2 more
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A multiphase flow study for lubrication characteristics on the internal flow pattern of ball bearing
Results in Engineering, 2023 This work proposes a general method for establishing the lubrication analysis model of ball bearing and the oil-air multiphase flow characteristics inside ball bearing is revealed by CFD. Based on the geometric feature, the micro-clearance in the chamber
Wentao Shan +5 more
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