## 3 Proposal Methodology
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multicolumn{6}{c}{**Quartic Function**} \\ \hline \multirow{2}{*}{Decades} & \multirow{2}{*}{**ICA**} & \(\beta\)**Inc** & \(\xi\)**Inc** & \(\beta\)**Inc**-\(\xi\)**Dec** \\ \cline{3-6}  & & **1–2** & **0–1** & **1–2 and 0–1** \\ \hline \multirow{3}{*}{**3000**} & **Best** & \(9.62\times 10^{-168}\) & \(1.77\times 10^{-141}\) & \(8.50\times 10^{-169}\) & \(2.74\times 10^{-140}\) \\  & **Worst** & \(5.57\times 10^{-147}\) & \(1.48\times 10^{-128}\) & \(4.20\times 10^{-148}\) & \(1.26\times 10^{-123}\) \\  & **Mean** & \(2.14\times 10^{-148}\) & \(4.98\times 10^{-130}\) & \(1.75\times 10^{-149}\) & \(4.24\times 10^{-125}\) \\ \hline \multirow{3}{*}{**4000**} & **Best** & \(5.26\times 10^{-223}\) & \(8.31\times 10^{-190}\) & \(1.54\times 10^{-231}\) & \(3.06\times 10^{-181}\) \\  & **Worst** & \(1.35\times 10^{-195}\) & \(3.00\times 10^{-161}\) & \(6.16\times 10^{-196}\) & \(1.58\times 10^{-163}\) \\  & **Mean** & \(4.52\times 10^{-197}\) & \(1.00\times 10^{-162}\) & \(2.05\times 10^{-197}\) & \(5.59\times 10^{-165}\) \\ \hline \multirow{3}{*}{**5000**} & **Best** & \(9.13\times 10^{-281}\) & \(2.93\times 10^{-234}\) & \(6.39\times 10^{-282}\) & \(1.16\times 10^{-237}\) \\  & **Worst** & \(1.51\times 10^{-240}\) & \(1.95\times 10^{-195}\) & \(2.50\times 10^{-245}\) & \(7.92\times 10^{-199}\) \\ \cline{1-1}  & **Mean** & \(5.44\times 10^{-242}\) & \(6.52\times 10^{-197}\) & \(8.34\times 10^{-247}\) & \(2.271\times 10^{-200}\) \\ \hline \hline \end{tabular}
\end{table} 
Table 2: _Cont._ \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multicolumn{6}{c}{**Rosenbrock Function**} \\ \hline \multirow{2}{*}{Decades} & \multirow{2}{*}{**ICA**} & \(\beta\)**Inc** & \(\xi\)**Inc** & \(\beta\)**Inc**-\(\xi\)**Dec** \\ \cline{3-6}  & & **1–2** & **0–1** & **1–2 and 0–1** \\ \hline \multirow{3}{*}{**1000**} & **Best** & 1.2316226 & 2.4035099 & 2.8943449 & 1.741879 \\  & **Worst** & 20.229215 & 26.258041 & 26.428196 & 24.244927 \\  & **Mean** & 18.32843 & 17.302077 & 18.708605 & 17.302317 \\ \hline \multirow{3}{*}{**2000**} & **Best** & 0.0182118 & 0.0019663 & 0.0309808 & 0.0212138 \\  & **Worst** & 19.389756 & 15.862588 & 19.380454 & 19.908602 \\  & **Mean** & 10.702829 & 9.026353 & 10.573523 & 115.751011 \\ \hline \multirow{3}{*}{**3000**} & **Best** & \(9.35\times 10^{-6}\) & 0.0154982 & \(2.24\times 10^{-6}\) & 0.0907321 \\  & **Worst** & 13.231482 & 10.229455 & 13.023777 & 15.778142 \\  & **Mean** & 5.0096391 & 3.5266455 & 5.1161619 & 7.0405932 \\ \hline \multirow{3}{*}{**4000**} & **Best** & 1.26E-07 & \(7.56\times 10^{-5}\) & \(6.79\times 10^{-7}\) & 0.0030788 \\  & **Worst** & 7.2442467 & 4.5619828 & 12.048154 & 5.1284706 \\ \cline{1-1}  & **Mean** & 25.18922 & 0.8121844 & 2.5097263 & 1.8056573 \\ \hline \multirow{3}{*}{**5000**} & **Best** & 8.87 \(\times 10^{-7}\) & \(2.49\times 10^{-5}\) & \(7.28\times 10^{-9}\) & 0.0089079 \\ \cline{1-1}  & **Worst** & 9.102693 & 4.0085791 & 10.12155 & 4.1014126 \\ \cline{1-1}  & **Mean** & 2.0320047 & 1.0782768 & 15.795989 & 0.6206618 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Rosenbrock function. Table 5 shows the results of executing the proposed ICA algorithm 30 times with dynamic adaptation of the \(\beta\) and \(\xi\) parameters, where we find the average, best and worst results obtained for the Griewank function. Table 6 shows the results of executing 30 times the proposed ICA algorithm with dynamic adaptation the \(\beta\) and \(\xi\) parameters, where we find the average, best and worst results obtained for the Ackley function.