Results 21 to 30 of about 305,961 (299)
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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Two Optimal Eighth-Order Derivative-Free Classes of Iterative Methods
Abstract and Applied Analysis, 2012 Optimization problems defined by (objective) functions for which derivatives are unavailable or available at an expensive cost are emerging in computational science.
F. Soleymani, S. Shateyi
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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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Derivative free iterative methods for nonlinear systems
Applied Mathematics and Computation, 2015 This research was supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02 and by Vicerrectorado de Investigacion, Universitat Politecnica de Valencia PAID-SP-2012-0498 and PAID-SP-2012-0474.
Hueso Pagoaga, José Luís +2 more
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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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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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New Eighth-Order Derivative-Free Methods for Solving Nonlinear Equations
International Journal of Mathematics and Mathematical Sciences, 2012 A new family of eighth-order derivative-free methods for solving nonlinear equations is presented. It is proved that these methods have the convergence order of eight.
Rajinder Thukral
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An Algorithm Derivative-Free to Improve the Steffensen-Type Methods
Symmetry, 2021 Solving equations of the form H(x)=0 is one of the most faced problem in mathematics and in other science fields such as chemistry or physics. This kind of equations cannot be solved without the use of iterative methods. The Steffensen-type methods, defined using divided differences are derivative free, are usually considered to solve these problems ...
Miguel Ángel Hernández-Verón +4 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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