Results 1 to 10 of about 1,528,330 (141)
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
doaj +2 more sources
Towards efficient solutions: A novel approach to quadratic nonlinearity in boundary value problems. [PDF]
PLoS ONEThe Newton method is a classical method for solving systems of nonlinear equations and offers quadratic convergence. The order of convergence of the Newton method is optimal as it requires one evaluation for the system of nonlinear equations and the ...
Salima Kouser +5 more
doaj +2 more sources
The Fréchet Derivative of an Analytic Function of a Bounded Operator with Some Applications
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
doaj +2 more sources
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
doaj +1 more source
The Fréchet derivative of the tensor t-function [PDF]
Calcolo, 2023 The tensor t-function, a formalism that generalizes the well-known concept of matrix functions to third-order tensors, is introduced in Lund (Numer Linear Algebra Appl 27(3):e2288). In this work, we investigate properties of the Fréchet derivative of the
Kathryn Lund, M. Schweitzer
semanticscholar +1 more source
Computing low‐rank approximations of the Fréchet derivative of a matrix function using Krylov subspace methods [PDF]
Numerical Linear Algebra with Applications, 2020 The Fréchet derivative Lf(A,E) of the matrix function f(A) plays an important role in many different applications, including condition number estimation and network analysis.
Peter Kandolf +3 more
semanticscholar +1 more source
Arbitrary Precision Algorithms for Computing the Matrix Cosine and its Fréchet Derivative
SIAM Journal on Matrix Analysis and Applications, 2022 . Existing algorithms for computing the matrix cosine are tightly coupled to a specific precision of floating-point arithmetic for optimal efficiency so they do not conveniently extend to an arbitrary precision environment.
Awad H. Al-Mohy, N. Higham, Xiaobo Liu
semanticscholar +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source