## newton_system1_pseudocode.txt

function newton_system1 ( )

Input: f(), fp(), x, xtol, ftol, itmax

it = 0

Begin loop

  it = it + 1
  Evaluate F(X) and DF(X)
  Solve DF * DX = - F for DX
  Set X = X + DX

  if ||DX|| is less than xtol and ||F(X)|| is less than ftol, success
  if it > itmax, failure

End loop
  
Output: values of updated X and it