Algorithm 4 Set non-linear equation system to solve.
1: functionSet $f_1,\dots ,f_v$($a_0,a_{j,k},W,Q,v$)
2:     $j,k$	▹ Temporary variables
3:     for $(j=1;j<v;j++)$ do
4:         for $(k=1;k<v;k++)$ do
5:            $l\left[k\right]+=\left(a\right[j\left]\right[k\left]\right)\left(w\right[j\left]\right)$
6:         end for
7:         $l\left[k\right]+=a_0\left[j\right]$	▹ The system of auxiliary equations is obtained $l_k(w_1,\dots ,w_v)$
8:     end for
9:     for $(k=1;k<v-1;k++)$ do
10:         $f\left[k\right]=l\left[k\right]$
11:     end for
12:     $f[k+1]=l\left[k\right]+W-Q$
13:     return f	▹ Returns $f_1,\dots ,f_v$
14: end function