Results 11 to 20 of about 1,893 (124)
On the comparison of a weak variant of the Newton–Kantorovich and Miranda theorems
Journal of Computational and Applied Mathematics, 2004 The author [J. Comput. Appl. Math. 157, 169--185 (2003; Zbl 1030.65060)] has shown a semi-local convergence theorem under weaker assumptions than those of the Newton-Kantorovich theorem. Operators satisfying the weakened Newton-Kantorovich conditions are shown to satisfy the conditions of the weakened Miranda theorem.
Argyros, Ioannis K, Ioannis K Argyros
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Third order convergence theorem for a family of Newton like methods in Banach space
Journal of Numerical Analysis and Approximation Theory, 2014 In this paper, we propose a family of Newton-like methods in Banach space which includes some well known third-order methods as particular cases. We establish the Newton-Kantorovich type convergence theorem for a proposed family and get an error estimate.
Tugal Zhanlav, Dorjgotov Khongorzul
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A simplified proof of the Kantorovich theorem for solving equations using telescopic series [PDF]
Journal of Numerical Analysis and Approximation Theory, 2015 We extend the applicability of the Kantorovich theorem (KT) for solving nonlinear equations using Newton-Kantorovich method in a Banach space setting.
Ioannis K. Argyros, Hongmin Ren
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Semilocal Convergence Analysis for Inexact Newton Method under Weak Condition [PDF]
Abstract and Applied Analysis, 2012 Under the hypothesis that the first derivative satisfies some kind of weak Lipschitz conditions, a new semilocal convergence theorem for inexact Newton method is presented.
Xiubin Xu, Yuan Xiao, Tao Liu
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A Newton-Kantorovich Inverse Function Theorem in Quasi-Metric Spaces
The purpose of this work is to investigate root finding problems defined on (quasi-)metric spaces, and ranging in Euclidean spaces. The motivation for this line of inquiry stems from recent models in biology and phylogenetics, where problems of great practical significance are cast as optimization problems on (quasi-)metric spaces.
Pinta, Titus
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Approximate solution of Urysohn integral equations using the Adomian decomposition method. [PDF]
ScientificWorldJournal, 2014 We apply Adomian decomposition method (ADM) for obtaining approximate series solution of Urysohn integral equations. The ADM provides a direct recursive scheme for solving such problems approximately. The approximations of the solution are obtained in the form of series with easily calculable components. Furthermore, we also discuss the convergence and
Singh R, Nelakanti G, Kumar J, Kumar J.
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A survey of Optimal Transport for Computer Graphics and Computer Vision
Computer Graphics Forum, Volume 42, Issue 2, Page 439-460, May 2023., 2023 Abstract Optimal transport is a long‐standing theory that has been studied in depth from both theoretical and numerical point of views. Starting from the 50s this theory has also found a lot of applications in operational research. Over the last 30 years it has spread to computer vision and computer graphics and is now becoming hard to ignore.
Nicolas Bonneel, Julie Digne
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A fast robust numerical continuation solver to a two‐dimensional spectral estimation problem
IET Control Theory &Applications, Volume 16, Issue 9, Page 902-915, 11 June 2022., 2022 Abstract This paper presents a fast algorithm to solve a spectral estimation problem for two‐dimensional random fields. The latter is formulated as a convex optimization problem with the Itakura‐Saito pseudodistance as the objective function subject to the constraints of moment equations.
Bin Zhu, Jiahao Liu
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International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 Let X and Y be Banach spaces and Ω⊆X. Let f:Ω⟶Y be a single valued function which is nonsmooth. Suppose that F:X⇉2Y is a set‐valued mapping which has closed graph. In the present paper, we study the extended Newton‐type method for solving the nonsmooth generalized equation 0 ∈ f(x) + F(x) and analyze its semilocal and local convergence under the ...
M. Z. Khaton +2 more
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IET Power Electronics, Volume 14, Issue 13, Page 2179-2193, 14 October 2021., 2021 Abstract Permanent magnet machines have been used in the high‐speed drive applications due to their high‐efficiency, high‐power‐density, and wide‐speed range characteristics. However, control of such high‐speed permanent magnet machines machine is always challenging and proper flux‐weakening controller design is essential to achieve high performance of
Xiaoyu Lang +5 more
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