Fréchet derivative for light-like Wilson loops [PDF]
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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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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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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On the Fréchet derivative of matrix functions [PDF]
, 1987 In 1956 Rinehart [4] discussed the derivatives of matrix functions by considering differences ƒ(A + E) − ƒ(A) for matrices E commuting with A. In that case the derivative turned out to be ƒ′(A). In this paper the case of noncommutative A and E is treated.
Stickel, Eberhard
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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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Fréchet differentiability via partial Fréchet differentiability [PDF]
, 2023 summary:Let $X_1, \dots, X_n$ be Banach spaces and $f$ a real function on $X=X_1 \times\dots \times X_n$. Let $A_f$ be the set of all points $x \in X$ at which $f$ is partially Fréchet differentiable but is not Fréchet differentiable.
Zajíček, Luděk
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Third-order iterative methods without using any Fréchet derivative [PDF]
, 2003 A modification of classical third-order methods is proposed. The main advantage of these methods is they do not need to evaluate any Fréchet derivative. A convergence theorem in Banach spaces, just assuming the second divided difference is bounded and a ...
Candela, Vicente +2 more
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Fractional calculus of linear correlated fuzzy-valued functions related to Fréchet differentiability
, 2021 In this paper, we will introduce some types of Fréchet fractional derivative defined on the class of linear correlated fuzzy-valued functions. Firstly, we study Fréchet derivative and R-derivative of integer order and investigate their relationship with ...
Son N.T.K. +3 more
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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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