10.3.1 Approximating solution of an equation: newton
The newton command uses Newton’s method to approximate a
solution to an equation.
-
newton takes one mandatory argument and four optional arguments:
-
ex, an expression.
- Optionally, var, the variable used in this expression (by default
x).
- Optionally, a, a number (by default 0)
- Optionally, є, a small number (by default 1e-8)
- Optionally, nbiter (by default 12).
- newton(ex, ⟨,var,a,є,nbiter⟨)
returns an approximate solution of the equation ex=0 using
the Newton algorithm with starting point var=a.
The maximum number of iterations is nbiter and
the precision is є.
Examples.
-
Input:
newton(x^2-2,x,1)
Output:
- Input:
newton(x^2-2,x,-1)
Output:
- Input:
newton(cos(x)-x,x,0)
Output: