suivant: Approximate computation of the
monter: Numerical algorithms
précédent: Numerical algorithms
Table des matières
Index
Approximate solution of an equation : newton
newton takes as arguments : an expression ex,
the variable
name of this expression (by default x), and three values a (by
default a=0), eps (by default eps=1e-8) and nbiter
(by default nbiter=12).
newton(ex,x,a,eps,nbiter) computes an approximate
solution x of the equation ex=0
using the Newton algorithm with starting point
x=a. The maximum number of iterations is nbiter
and the precision is eps.
Input :
newton(x^
2-2,x,1)
Output :
1.41421356237
Input :
newton(x^
2-2,x,-1)
Output :
-1.41421356237
Input :
newton(cos(x)-x,x,0)
Output :
0.739085133215
giac documentation written by Renée De Graeve and Bernard Parisse