Results 1 to 10 of about 97,781 (116)
Basin attractors for derivative-free methods to find simple roots of nonlinear equations
Journal of Numerical Analysis and Approximation Theory, 2020 Many methods exist for solving nonlinear equations. Several of these methods are derivative-free. One of the oldest is the secant method where the derivative is replaced by a divided difference.
Beny Neta
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A New Derivative-Free Method to Solve Nonlinear Equations
Mathematics, 2021 A new high-order derivative-free method for the solution of a nonlinear equation is developed. The novelty is the use of Traub’s method as a first step. The order is proven and demonstrated.
Beny Neta
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Basins of attraction for family of Popovski’s methods and their extension to multiple roots
Journal of Numerical Analysis and Approximation Theory, 2022 In this paper we revisit Popovski’s family of methods for simple roots. We compare several members using basins of attraction visually and qualitatively by comparing the run-time on several examples, the average number of iterations and the number of ...
Beny Neta
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A simple and efficient protocol for generating transgenic hairy roots using Agrobacterium rhizogenes
PLoS ONE, 2023 For decades, Agrobacterium rhizogenes (now Rhizobium rhizogenes), the causative agent of hairy root disease, has been harnessed as an interkingdom DNA delivery tool for generating transgenic hairy roots on a wide variety of plants.
Shaun Ferguson +7 more
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ON THE ROOTS OF SYSTEMS OF TRANSCENDENTAL EQUATIONS
Проблемы анализа, 2023 The article is devoted to investigation of simple and multiple roots of systems of transcendental equations. It is shown that the number is related to the number of real roots of the resultant of the system. Examples for systems of equations are given.
A. M. Kytmanov, O. V. Khodos
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Results in Control and Optimization, 2023 We present in this paper two new families of bi-parametric multipoint higher order iterative methods of optimal order for determining simple roots of the nonlinear equation Ω(s)=0.
G Thangkhenpau +2 more
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A New Newton Method with Memory for Solving Nonlinear Equations
Mathematics, 2020 A new Newton method with memory is proposed by using a variable self-accelerating parameter. Firstly, a modified Newton method without memory with invariant parameter is constructed for solving nonlinear equations. Substituting the invariant parameter of
Xiaofeng Wang, Yuxi Tao
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Optimal Derivative-Free Root Finding Methods Based on Inverse Interpolation
Mathematics, 2019 Finding a simple root for a nonlinear equation f ( x ) = 0 , f : I ⊆ R → R has always been of much interest due to its wide applications in many fields of science and engineering.
Moin-ud-Din Junjua +2 more
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Mathematical Modelling and Analysis, 2017 The main motivation of this study is to propose an optimal scheme with an inverse interpolatory rational function error corrector in a general way that can be applied to any existing optimal multi-point fourth-order iterative scheme whose first sub step ...
Young I. Kim +2 more
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Prevalence of Root Canal Configuration Types Based on Number of Canals at the Apical Third of Mandibular First Molar Roots [PDF]
Journal of Clinical and Diagnostic Research, 2019 Introduction: Mandibular first molars are the earliest permanent posterior teeth to erupt and are, hence, most frequently in need of endodontic treatment. Success of endodontic treatment depends on three-dimensional obturation at apical third.
Rashmi Bansal +2 more
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