Results 31 to 40 of about 17,151,919 (277)
Optimal One-Point Iterative Function Free from Derivatives for Multiple Roots
Mathematics, 2020 We suggest a derivative-free optimal method of second order which is a new version of a modification of Newton’s method for achieving the multiple zeros of nonlinear single variable functions.
Deepak Kumar +2 more
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Unified Convergence Criteria of Derivative-Free Iterative Methods for Solving Nonlinear Equations
Computation, 2023 A local and semi-local convergence is developed of a class of iterative methods without derivatives for solving nonlinear Banach space valued operator equations under the classical Lipschitz conditions for first-order divided differences.
Samundra Regmi +3 more
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Derivative free iterative simultaneous method for finding distinct roots of polynomial equation
Alexandria Engineering Journal, 2020 In this article, we present a new derivative free simultaneous method for determining in particular all the distinct roots of polynomial equation. A modification in Weierstrass correction is used to construct tenth order derivative free simultaneous ...
Nazir Ahmad Mir +4 more
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Some efficient seventh-order derivative-free families in root-finding [PDF]
Opuscula Mathematica, 2013 The interest in efficient root-finding iterations is nowadays growing and influenced by the widespread use of high-speed computers. On the other hand, the calculation of derivatives is often hard, when the problems are formulated in terms of nonlinear ...
Fazlollah Soleymani
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Derivative-free optimization methods [PDF]
Acta Numerica, 2019 In many optimization problems arising from scientific, engineering and artificial intelligence applications, objective and constraint functions are available only as the output of a black-box or simulation oracle that does not provide derivative ...
Jeffrey Larson +2 more
semanticscholar +1 more source
Fractal and Fractional, 2022 Two novel Kurchatov-type first-order divided difference operators were designed, which were used for constructing the variable parameter of three derivative-free iterative methods. The convergence orders of the new derivative-free methods are 3, (5+17)/2≈
Xiaofeng Wang, Xiaohe Chen
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Convergence of Derivative-Free Iterative Methods with or without Memory in Banach Space
Foundations, 2023 A method without memory as well as a method with memory are developed free of derivatives for solving equations in Banach spaces. The convergence order of these methods is established in the scalar case using Taylor expansions and hypotheses on higher ...
Santhosh George +2 more
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Mathematics, 2023 This research aims to propose a new family of one-parameter multi-step iterative methods that combine the homotopy perturbation method with a quadrature formula for solving nonlinear equations. The proposed methods are based on a higher-order convergence
Huda J. Saeed +4 more
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Mathematics, 2020 In this study, we construct the one parameter optimal derivative-free iterative family to find the multiple roots of an algebraic nonlinear function.
Munish Kansal +4 more
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Solving nonsmooth equations using family of derivative-free optimal methods [PDF]
, 2013 In this paper, a family of derivative-free of third and fourth order convergent methods for solving nonlinear equations is suggested. In the proposed methods, several linear combinations of divided differences are used in order to get a good estimation ...
Bahgat, Mohamed S.M., Hafiz, M.A.
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