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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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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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Fréchet-Derivative-Based Global Sensitivity Analysis and Its Physical Meanings in Structural Design [PDF]
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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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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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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Проблемы анализа, 2021 In this paper, we compare the radii of convergence of Jarratt-type methods under the same set of conditions for solving nonlinear equations and systems of equations.
I. K. Argyros, S. George, C. Argyros
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Extended domain for fifth convergence order schemes
Cubo, 2021 We provide a local as well as a semi-local analysis of a fifth convergence order scheme involving operators valued on Banach space for solving nonlinear equations.
Ioannis K. Argyros, Santhosh George
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Nonlinear operators between neutrosophic normed spaces and Fréchet differentiation
Journal of Inequalities and Applications, 2022 The article focuses on the introduction of neutrosophic continuity and neutrosophic boundedness, which is a fair extension of intuitionistic fuzzy continuity and intuitionistic fuzzy boundedness, respectively.
Vakeel A. Khan, Mohammad Daud Khan
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On the Semi-Local Convergence of a Third Order Scheme for Solving Nonlinear Equations
European Journal of Mathematical Analysis, 2022 The semi-local convergence analysis of a third order scheme for solving nonlinear equation in Banach space has not been given under Lipschitz continuity or other conditions.
Samundra Regmi +3 more
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An efficient bound for the condition number of the matrix exponential
Journal of Taibah University for Science, 2017 A new bound for the condition number of the matrix exponential is presented. Using the bound, we propose an efficient approximation to the condition number, denoted by κg(s, X), that avoids the computation of the Fréchet derivative of the matrix ...
Awad H. Al-Mohy
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