Results 51 to 60 of about 10,998,730 (181)
ON MULTIPHASE ALGORITHM FOR SINGLE VARIABLE EQUATION USING NEWTON'S CORRECTION METHOD [PDF]
Journal of Sciences, Islamic Republic of Iran, 1999 This paper brings to light a method based on Multiphase algorithm for single variable equation using Newton's correction. Newton's method is derived through the logarithmic differentiation of polynomial equation. A correction term which enhances the high
doaj
Modelling and Simulation in Engineering, 2015 A geometric modification to the Newton-Secant method to obtain the root of a nonlinear equation is described and analyzed. With the same number of evaluations, the modified method converges faster than Newton’s method and the convergence order of the new
Gustavo Fernández-Torres
doaj +1 more source
A new approach for solving nonlinear singular boundary value problems
Mathematical Modelling and Analysis, 2018 In this paper, an e_cient method based on Quasi-Newton's method and the simpli_ed reproducing kernel method is proposed for solving nonlinear singular boundary value problems. For the Quasi-Newton's method the convergence order is studied.
Hui Zhu +3 more
doaj +1 more source
Finite Basin's Area Fractal via Complex Newton's Method [PDF]
Kirkuk Journal of Science, 2018 In this study, we explain that when we applied Newton’s method on , the basins of roots have finite area when , where and . Using MATLAB we obtained nice fractals in order to prove the finite basins area when .
Zainab Weli Murad
doaj +1 more source
Modified Quaternion Newton Methods [PDF]
, 2014 We revisit the quaternion Newton method for computing roots of a class of quaternion valued functions and propose modified algorithms for finding multiple roots of simple polynomials. We illustrate the performance of these new methods by presenting several numerical experiments.
Fernando Miranda, M. Irene Falcão
openaire +2 more sources
On an application of Newton's Method to Nonlinear Operators with w-Conditioned Second Derivative. [PDF]
, 2002 We present a new approach to study the convergence of Newton's method in Banach spaces, which relax the conditions appearing in the usual studies. The approach is based on the bound required for the second derivative of the operator involved.
Ezquerro, J.A. [0000-0001-8120-167X] +1 more
core +1 more source
International Journal of Mathematics and Mathematical Sciences, 2001 In 1977 Hubbard developed the ideas of Cayley (1879) and solved in particular the Newton-Fourier imaginary problem. We solve the Newton-Fourier and the Chebyshev-Fourier imaginary problems completely.
Anna Tomova
doaj +1 more source
Converging Newton’s Method With An Inflection Point of A Function
Jurnal Matematika Integratif, 2017 For long periods of time, mathematics researchers struggled in obtaining the appropriate starting point when implementing root finding methods, and one of the most famous and applicable is Newton’s method.
Ridwan Pandiya, Ismail Bin Mohd
doaj +1 more source
GalilæanaThis essay examines Celestino Cominale’s (1722–1785) self-proclaimed ‘anti-Newtonianism’. Between 1754 and 1770, Cominale published four volumes under the title of Anti-Newtonianismi, in which he launched a sustained attack on Newton’s natural ...
Steffen Ducheyne, Bianca Burani
doaj +1 more source
On the local convergence of Newton's method under generalized conditions of Kantorovich [PDF]
, 2013 Following an idea similar to that given by Dennis and Schnabel (1996) in [2], we prove a local convergence result for Newton's method under generalized conditions of Kantorovich type. © 2013 Elsevier Ltd.
González, D. [0000-0001-5282-7251] +2 more
core +1 more source