System of Nonlinear Equations
Given a system of nonlinear equations in the form: \[ \begin{array}{lll} f_1(x_1,x_2,\ldots,x_n) & = & 0 \\ f_2(x_1,x_2,\ldots,x_n) & = & 0 \\ \cdots \\ f_m(x_1,x_2,\ldots,x_n) & = & 0 \end{array} \] where $f_i(x_1,x_2,\ldots,x_n)$ is continuous and have at least first order derivatives, this application solves the system of nonlinear equations by finding $\mathrm{x}^*$ so that $f_i(\mathrm{x}^*)=0$ if $m=n$ or solves the nonlinear least-squares problmes if $m>n$.
Input Data
This calculator solves the problems with iterative methods so it requires from users two inputs: $f_1(x_1,x_2,\ldots,x_n),\ldots,f_m(x_1,x_2,\ldots,x_n)$ and initial values $\mathrm{x}_0$. The first input is in the same format as described in Jacobian Calculator. The second is optional and it will be generated automatically if no data is entered.