Fréchet derivative for light-like Wilson loops
Physics Letters B, 2015 We address the equations of motion for the light-like QCD Wilson exponentials defined in the generalized loop space. We attribute an important class of the infinitesimal shape variations of the rectangular light-like Wilson loops to the Fréchet ...
I.O. Cherednikov, T. Mertens
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Convergence of Halley's method under centered Lipschitz condition on the second Fréchet derivative [PDF]
Journal of Numerical Analysis and Approximation Theory, 2013 We present a semi-local as well as a local convergence analysis of Halley's method for approximating a locally unique solution of a nonlinear equation in a Banach space setting.
Ioannis K. Argyros, Hongmin Ren
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On higher-order adjacent derivative of perturbation map in parametric vector optimization
Journal of Inequalities and Applications, 2016 This paper deals with higher-order sensitivity analysis in terms of the higher-order adjacent derivative for nonsmooth vector optimization. The relations between the higher-order adjacent derivative of the minima/the proper minima/the weak minima of a ...
Le Thanh Tung
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Ball convergence for Traub-Steffensen like methods in Banach space
Annals of the West University of Timisoara: Mathematics and Computer Science, 2015 We present a local convergence analysis for two Traub-Steffensen-like methods in order to approximate a locally unique solution of an equation in a Banach space setting. In earlier studies such as [16, 23] Taylor expansions and hypotheses up to the third
Argyros Ioannis K., George Santhosh
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The Fréchet Derivative of an Analytic Function of a Bounded Operator with Some Applications [PDF]
International Journal of Mathematics and Mathematical Sciences, 2009 The main result in this paper is the determination of the Fréchet derivative of an analytic function of a bounded operator, tangentially to the space of all bounded operators. Some applied problems from statistics and numerical analysis are included as a
D. S. Gilliam +3 more
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Gateaux and Frechet Derivative In Neutrosophic Normed Linear Spaces [PDF]
Neutrosophic Sets and Systems, 2023 In this study, we present the neutrosophic derivatives, the neutrosophic Gateaux derivative, and the neutrosophic Frechet derivative, and we examine some of their features. The relationship between the neutrophilic Frechet derivative and the neutrophilic
M. Jeyaraman +3 more
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Mathematical Determination of the Fréchet Derivative with Respect to the Domain for a Fluid-Structure Scattering Problem. Case of Polygonal-Shaped Domains [PDF]
, 2017 International audienceThe characterization of the Fréchet derivative of the elasto-acoustic scattered field with respect to Lipschitz continuous polygonal domains is established.
Djellouli, Rabia +3 more
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The complex step method for approximating the Fréchet derivative of matrix functions in automorphism groups [PDF]
, 2022 We show, that the Complex Step approximation to the Fréchet derivative of matrix functions is applicable to the matrix sign, square root and polar mapping using iterative schemes.
Werner, Tom
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Fréchet-Derivative-Based Global Sensitivity Analysis and Its Physical Meanings in Structural Design
Applied SciencesSensitivity analysis is essential for uncertainty-based structural design and analysis, especially global sensitivity analysis, which can reflect the overall physical properties of large and complex computational models with stochastic parameters.
Weifeng Tao, Zhiqiang Wan, Xiuli Wang
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Convergence Criteria of Three Step Schemes for Solving Equations
Mathematics, 2021 We develop a unified convergence analysis of three-step iterative schemes for solving nonlinear Banach space valued equations. The local convergence order has been shown before to be five on the finite dimensional Euclidean space assuming Taylor ...
Samundra Regmi +3 more
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