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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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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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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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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Parameterization of kernels of the Volterra series for systems given by nonlinear differential equations [PDF]
E3S Web of Conferences, 2023 The presented article is devoted on an issue regarding to the transformation of nonlinear models of a certain class to the Volterra functional series. The new identification method based on analytical input and output of a system was developed.
Kislovskiy Evgeniy +2 more
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A global sensitivity index based on Fréchet derivative and its efficient numerical analysis [PDF]
, 2020 Sensitivity analysis plays an important role in reliability evaluation, structural optimization and structural design, etc. The local sensitivity, i.e., the partial derivative of the quantity of interest in terms of parameters or basic variables, is ...
Beer, Michael +2 more
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Local convergence of a fifth convergence order method in Banach space
Arab Journal of Mathematical Sciences, 2017 We provide a local convergence analysis for a fifth convergence order method to find a solution of a nonlinear equation in a Banach space. In our paper the sufficient convergence conditions involve only hypotheses on the first Fréchet-derivative ...
Ioannis K. Argyros, Santhosh George
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On Global Convergence of Third-Order Chebyshev-Type Method under General Continuity Conditions
Fractal and Fractional, 2022 There are very few papers that talk about the global convergence of iterative methods with the help of Banach spaces. The main purpose of this paper is to discuss the global convergence of third order iterative method.
Fouad Othman Mallawi +2 more
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