Results 11 to 20 of about 11,225 (259)

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   +3 more sources

Newton’s Method for Convex Operators and Applications

International Journal of Analysis and Applications, 2013
This review work presents the general statement of a variant of Newton’s method for convex monotone operators and its applications. We consider the estimation of the absolute error too. One makes the connection to the contraction principle.
Octav Olteanu
doaj   +3 more sources

Attracting cycles for the relaxed Newton’s method [PDF]

, 2011
We study the relaxed Newton’s method applied to polynomials. In particular, we give a technique such that for any n≥2, we may construct a polynomial so that when the method is applied to a polynomial, the resulting rational function has an attracting ...
Romero, N. [0000-0002-0653-560X], Plaza, S., Plaza, Sergio, Romero, Natalia, Natalia Romero, Sergio Plaza   +5 more
core   +1 more source

Can we know what Newton's scientific method is? [PDF]

روش شناسی علوم انسانی, 2020
I have tried to retrieve Newton’s scientific method. To do so, I raise two principal questions: 1. What is Newton’s evolving scientific method that he devised in The Principia and Opticks during a period of fifty years? 2.
saeid zibakalam
doaj   +1 more source

Optimal traffic engineering via Newton’s method [PDF]

, 2008
—Recently, it has been proven that the minimum-cost multicommodity flow can be realized by a link-state routing protocol, PEFT, using uneven traffic splitting [1].
Dahai Xu
core   +1 more source

Increasing the order of convergence of multistep methods for solving systems of equations under weak conditions

Annals of the West University of Timisoara: Mathematics and Computer Science, 2019
In the present paper, we consider a construction proposed in Xiao and Yin (2016) to improve the order of convergence of the method from p to p + 2m under weaker assumptions.
Argyros Ioannis K., George Santhosh, Erappa Shobha M.   +2 more
doaj   +1 more source

An iterative method based on the average quadrature formula [PDF]

Computational Algorithms and Numerical Dimensions
In our research, a new third-order iterative method has been introduced. This method involves the creation of a new quadrature formula by averaging Simpson's 1/3 rd and Trapezoidal rules.
Tusar Singh, Dwiti Behera, Shno Othman Ahmed, Rostam Saeed   +3 more
doaj   +1 more source

An optimal fourth-order family of modified Cauchy methods for finding solutions of nonlinear equations and their dynamical behavior

Open Mathematics, 2019
In this paper, we derive and analyze a new one-parameter family of modified Cauchy method free from second derivative for obtaining simple roots of nonlinear equations by using Padé approximant.
Liu Tianbao, Qin Xiwen, Li Qiuyue
doaj   +1 more source

Newton's method in Riemannian manifolds

Journal of Numerical Analysis and Approximation Theory, 2008
Using more precise majorizing sequences than before [1], [8], and under the same computational cost, we provide a finer semilocal convergence analysis of Newton's method in Riemannian manifolds with the following advantages: larger convergence domain ...
Ioannis K. Argyros
doaj   +2 more sources