Functions and Variables for mnewton
===================================

 -- Option variable: newtonepsilon
     Default value: 10.0^(-fpprec/2)

     Precision to determine when the mnewton function has converged towards the solution.

     See also mnewton.

 -- Option variable: newtonmaxiter
     Default value: 50

     Maximum number of iterations to stop the mnewton function if it does not converge or if it converges too slowly.

     See also mnewton.

 -- Function: mnewton (FUNCLIST,VARLIST,GUESSLIST)
     Multiple nonlinear functions solution using the Newton method. FUNCLIST is the list of functions to solve, VARLIST is the list of variable names, and GUESSLIST is the list of initial approximations.

     The solution is returned in the same format that solve() returns. If the solution isn't found, [] is returned.

     This function is controlled by global variables newtonepsilon and newtonmaxiter.

          (%i1) load("mnewton")$

          (%i2) mnewton([x1+3*log(x1)-x2^2, 2*x1^2-x1*x2-5*x1+1],
                        [x1, x2], [5, 5]);
          (%o2) [[x1 = 3.756834008012769, x2 = 2.779849592817897]]
          (%i3) mnewton([2*a^a-5],[a],[1]);
          (%o3)             [[a = 1.70927556786144]]
          (%i4) mnewton([2*3^u-v/u-5, u+2^v-4], [u, v], [2, 2]);
          (%o4) [[u = 1.066618389595407, v = 1.552564766841786]]

     To use this function write first load("mnewton"). See also newtonepsilon and newtonmaxiter.