Results 21 to 30 of about 1,003,533 (269)
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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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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Global convergence of the Heavy-ball method for convex optimization [PDF]
2015 European Control Conference (ECC), 2015 This paper establishes global convergence and provides global bounds of the convergence rate of the Heavy-ball method for convex optimization problems. When the objective function has Lipschitz-continuous gradient, we show that the Cesaro average of the iterates converges to the optimum at a rate of $O(1/k)$ where k is the number of iterations.
Euhanna Ghadimi +2 more
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On the Semi-Local Convergence of Two Competing Sixth Order Methods for Equations in Banach Space
Algorithms, 2022 A plethora of methods are used for solving equations in the finite-dimensional Euclidean space. Higher-order derivatives, on the other hand, are utilized in the calculation of the local convergence order. However, these derivatives are not on the methods.
Ioannis K. Argyros +3 more
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Fatou and Korányi-Vági type theorems on the minimal ball [PDF]
, 2002 In this paper we develop the Hp (p [greater than or equal] 1) theory on the minimal ball. After identifying the admissible approach regions, we establish theorems of Fatou and Korányi-Vági type on this ...
Viêt-Anh Nguyên, Anh, Nguyên Viêt
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MathematicsMultistep methods typically use Taylor series to attain their convergence order, which necessitates the existence of derivatives not naturally present in the iterative functions. Other issues are the absence of a priori error estimates, information about
Ioannis K. Argyros +3 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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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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Multistep Iterative Methods for Solving Equations in Banach Space
MathematicsThe novelty of this article lies in the fact that we extend the use of a multistep method for developing a sequence whose limit solves a Banach space-valued equation. We suggest the error estimates, local convergence, and semi-local convergence, a radius
Ramandeep Behl +4 more
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Extension of an Eighth-Order Iterative Technique to Address Non-Linear Problems
AxiomsThe convergence order of an iterative method used to solve equations is usually determined by using Taylor series expansions, which in turn require high-order derivatives, which are not necessarily present in the method.
Higinio Ramos +3 more
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