Results 91 to 100 of about 7,885 (185)

The theory of Newton's method

open access: yes, 2000
We review the most important theoretical results on Newton's method concerning the convergence properties, the error estimates, the numerical stability and the computational complexity of the algorithm.
Galántai, A.
core   +1 more source

Quasi-Newton preconditioners for the inexact Newton method

open access: yes, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BERGAMASCHI, LUCA   +3 more
openaire   +3 more sources

A Generalization of Newton's Method

open access: yes, 1948
It is our purpose here to investigate the method of solving equations for real roots by Newton's Method and to indicate a generalization arising from this ...
LeBouf, Billy Ruth
core  

Student misconceptions using Newton's method for nonlinear optimization [PDF]

open access: yes, 2001
Newton's Method is used to find roots of differentiable functions, and is easily adapted to find critical points of twice-differentiable functions.
Appleget, Jeffrey, Fox, William P.
core  

Computer Experiments with Newton's Method

open access: yes, 2003
We study the chaotic behaviour of Newton's method with graphic calculators and computers. Through repeated experiments the students can explore the behaviour of the sequence Xn=Nf(Xn)=x-f(x)/f´(x) where f(x) is a quintic polynomial.
Sousa Ramos, J., Orlando Freitas, J.
core  

Newton's Method and Leibniz's Calculus

open access: yes, 2003
A comparison between Newton's method of series and fluxions and Leibniz's ...
GUICCIARDINI CORSI SALVIATI N
core  

Square Roots with Newton's Method

open access: yes, 2016
Estimate square roots using Newton's method to varying accuracy by controlling the number of iterations and the precision of the estimates. Successively better estimations are shownComponente Curricular::Educação Superior::Ciências Exatas e da Terra ...
Mormino, Jon
core   +1 more source

Analysis of cable structures by Newton's method

open access: yes, 1971
The analysis of structures which contain catenary cables is made difficult by the non-linear force-deformation relationships of the cables. For all but the smallest deflections it is not possible to linearize these relationships without causing ...
Miller, Ronald Ian Spencer
core  

Approximations of continuous Newton's method: An extension of Cayley's problem

open access: yesElectronic Journal of Differential Equations, 2007
Continuous Newton's Method refers to a certain dynamical system whose associated flow generically tends to the roots of a given polynomial. An Euler approximation of this system, with step size $h=1$, yields the discrete Newton's method algorithm for ...
Jon Jacobsen, Owen Lewis, Bradley Tennis
doaj  

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