Enlarging the convergence ball of Newton's method on Lie groups [PDF]
Journal of Numerical Analysis and Approximation Theory, 2015 We present a local convergence analysis of Newton's method for approximating a zero of a mapping from a Lie group into its Lie algebra. Using more precise estimates than before [55, 56] and under the same computational cost, we obtain a larger ...
Ioannis K. Argyros, Saïd Hilout
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Convergence of a Sequence of Sets in a Hadamard Space and the Shrinking Projection Method for a Real Hilbert Ball [PDF]
Abstract and Applied Analysis, 2010 We propose a new concept of set convergence in a Hadamard space and obtain its equivalent condition by using the notion of metric projections. Applying this result, we also prove a convergence theorem for an iterative scheme by the shrinking projection ...
Yasunori Kimura
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The Convergence Ball and Error Analysis of the Relaxed Secant Method [PDF]
Advances in Mathematical Physics, 2017 A relaxed secant method is proposed. Radius estimate of the convergence ball of the relaxed secant method is attained for the nonlinear equation systems with Lipschitz continuous divided differences of first order.
Rongfei Lin +3 more
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Study of a High Order Family: Local Convergence and Dynamics [PDF]
Mathematics, 2019 The study of the dynamics and the analysis of local convergence of an iterative method, when approximating a locally unique solution of a nonlinear equation, is presented in this article. We obtain convergence using a center-Lipschitz condition where the
Cristina Amorós +5 more
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Tracking the soccer ball using multiple fixed cameras [PDF]
, 2009 This paper demonstrates innovative techniques for estimating the trajectory of a soccer ball from multiple fixed cameras. Since the ball is nearly always moving and frequently occluded, its size and shape appearance varies over time and between cameras ...
Jones, G. +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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Local Convergence of Newton’s Method on Lie Groups and Uniqueness Balls
Abstract and Applied Analysis, 2013 An estimation of uniqueness ball of a zero point of a mapping on Lie group is established. Furthermore, we obtain a unified estimation of radius of convergence ball of Newton’s method on Lie groups under a generalized L-average Lipschitz condition.
Jinsu He, Jinhua Wang, Jen-Chih Yao
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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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Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order
, 2015 We present a local convergence analysis for general multi-point-Chebyshev-Halley-type methods (MMCHTM) of high convergence order in order to approximate a solution of an equation in a Banach space setting.
George, Santhosh +2 more
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Generating ball trajectory in soccer video sequences [PDF]
, 2006 This paper demonstrates innovative techniques for estimating the trajectory of a soccer ball, using fixed cameras with constant calibration parameters.
Orwell, James +4 more
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