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
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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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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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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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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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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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