23.3.1 Newton method

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, ε, a small number (by default 1e-8)
  • Optionally, nbiter (by default 12).
• newton(ex ⟨,var,a,ε,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 ε.

Examples