Results 11 to 20 of about 1,368 (203)
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
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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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
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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Cyclicity in families of circle maps [PDF]
, 2013 In this paper we will study families of circle maps of the form x↦x+2πr+af(x)(mod2π) and investigate how many periodic trajectories maps from this family can have for a ‘typical’ function f provided the parameter a is ...
O. Kozlovski, Kozlovski, O.
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, 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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Local Convergence for Multi-Step High Order Solvers under Weak Conditions
Mathematics, 2020 Our aim in this article is to suggest an extended local convergence study for a class of multi-step solvers for nonlinear equations valued in a Banach space.
Ramandeep Behl, Ioannis K. Argyros
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Computing the fréchet derivative of the matrix exponential, with an application to condition number estimation [PDF]
, 2008 The matrix exponential is a much-studied matrix function having many applications. The Fréchet derivative of the matrix exponential describes the first-order sensitivity of eA to perturbations in A and its norm determines a condition number for eA. Among
Higham, Nicholas J. +3 more
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Generalized Complex Conformable Derivative and Integral Bases in Fréchet Spaces [PDF]
Assiut University Journal of Multidisciplinary Scientific ResearchThis paper presents an additional approach in the field of polynomial bases, utilizing generalized complex conformable fractional derivative and integral operators. These operators are applied to polynomial bases of complex conformable derivatives (GCCDB)
Gamal Hassan, Ali Sdeek, Amira Atta
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