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.

Calculator for System of Nonlinear Equations