## 3 Proposed ATMALS-GSK Algorithm
### Atmals-Gsk
#### 3.2.6 Overall Operation of ATMALS-GSK
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Fun.** & **GSKK [16]** & **AGSK [46]** & **APGSKK [45]** & **FDBAGSK [36]** & **eGSKK [69]** & **ATMALS-GSKK** \\ \hline
1 & 0.00 \(\pm\) 0.00 & 0.00 \(\pm\) 0.00 & 1.65 \(\times\) 10\({}^{-3}\) \(\pm\) 8.63 \(\times\) 10\({}^{-5}\) & 0.00 \(\pm\) 0.00 & 1.75 \(\times\) 10\({}^{-1}\) \(\pm\) 1.24 & 0.00 \(\pm\) 0.00 \\ \hline
3 & 7.07 \(\times\) 10\({}^{-7}\) \(\pm\) 1.82 \(\times\) 10\({}^{-6}\) & 8.62 \(\times\) 10\({}^{-3}\) \(\pm\) 3.06 \(\times\) 10\({}^{-2}\) & 4.37 \(\times\) 10\({}^{-1}\) \(\pm\) 8.49 \(\times\) 10\({}^{-1}\) & 1.75 \(\times\) 10\({}^{-1}\) \(\pm\) 1.08 & 0.00 \(\pm\) 0.00 & 0.00 \(\pm\) 0.00 \\ \hline
4 & 1.11 \(\times\) 10\({}^{3}\) \(\pm\) 2.17 \(\times\) 10\({}^{3}\) & 8.87 \(\pm\) 1.81 \(\times\) 10\({}^{3}\) & 6.98 \(\pm\) 1.68 \(\times\) 10\({}^{3}\) & 3.07 \(\times\) 10\({}^{3}\) \(\pm\) 3.18 \(\times\) 10\({}^{3}\) & 2.58 \(\pm\) 1.92 & 1.99 \(\pm\) 2.10 \\ \hline
5 & 1.60 \(\times\) 10\({}^{2}\) \(\pm\) 8.87 & 9.21 \(\times\) 10\({}^{3}\) \(\pm\) 1.27 \(\times\) 10\({}^{3}\) & 1.15 \(\times\) 10\({}^{3}\) \(\pm\) 1.33 \(\times\) 10\({}^{3}\) & 7.12 \(\times\) 10\({}^{3}\) \(\pm\) 1.07 \(\times\) 10\({}^{3}\) & 2.31 \(\times\) 10\({}^{3}\) \(\pm\) 8.24 & 1.53 \(\times\) 10\({}^{3}\) \(\pm\) 1.90 \(\times\) 10\({}^{3}\) \\ \hline
6 & 1.52 \(\times\) 10\({}^{-6}\) \(\pm\) 2.36 \(\times\) 10\({}^{-6}\) & 6.98 \(\times\) 10\({}^{-6}\) \(\pm\) 1.80 \(\times\) 10\({}^{-5}\) & 1.11 \(\times\) 10\({}^{3}\) \(\pm\) 3.68 \(\times\) 10\({}^{3}\) & 4.71 \(\times\) 10\({}^{3}\) \(\pm\) 6.80 \(\times\) 10\({}^{3}\) & 3.78 \(\times\) 10\({}^{3}\) \(\pm\) 4.41 \(\times\) 10\({}^{3}\) \(\pm\) 1.15 \(\times\) 10\({}^{3}\) \\ \hline
7 & 1.87 \(\times\) 10\({}^{3}\) \(\pm\) 8.40 & 1.17 \(\times\) 10\({}^{3}\) \(\pm\) 9.96 & 1.53 \(\times\) 10\({}^{3}\) \(\pm\) 1.78 \(\times\) 10\({}^{3}\) & 1.06 \(\times\) 10\({}^{3}\) \(\pm\) 9.57 & 5.31 \(\times\) 10\({}^{3}\) \(\pm\) 8.29 & 4.33 \(\times\) 10\({}^{3}\) \(\pm\) 1.15 \(\times\) 10\({}^{3}\) \\ \hline
8 & 1.55 \(\times\) 10\({}^{3}\) \(\pm\) 1.11 \(\times\) 10\({}^{3}\) & 9.74 \(\times\) 10\({}^{3}\) \(\pm\) 1.35 \(\times\) 10\({}^{3}\) & 1.13 \(\times\) 10\({}^{3}\) \(\pm\) 1.16 \(\times\) 10\({}^{3}\) \(\pm\) 1.19 \(\times\) 10\({}^{3}\) & 2.45 \(\times\) 10\({}^{3}\) \(\pm\) 1.19 \(\times\) 10\({}^{3}\) & 2.45 \(\times\) 10\({}^{3}\) \(\pm\) 8.47 & 1.35 \(\times\) 10\({}^{3}\) \(\pm\) 1.29 \(\times\) 10\({}^{3}\) \(\pm\) 1.29 \(\times\) 10\({}^{3}\) \\ \hline
9 & 0.00 \(\pm\) 0.00 & 7.50 \(\pm\) 7.08 & 3.65 \(\times\) 10\({}^{3}\) \(\pm\) 3.79 \(\times\) 10\({}^{3}\) & 2.22 \(\pm\) 1.54 & 8.91 \(\times\) 10\({}^{3}\) \(\pm\) 6.36 \(\times\) 10\({}^{3}\) \(\pm\) 1.29 \(\times\) 10\({}^{3}\) \(\pm\) 3.77 \(\times\) 10\({}^{3}\) \\ \hline
10 & 6.69 \(\times\) 10\({}^{3}\) \(\pm\) 3.54 \(\times\) 10\({}^{3}\) & 3.31 \(\times\) 10\({}^{3}\) \(\pm\) 1.86 \(\times\) 10\({}^{3}\) & 2.80 \(\times\) 10\({}^{3}\) \(\pm\) 2.40 \(\times\) 10\({}^{3}\) \(\pm\) 2.22 \(\times\) 10\({}^{3}\) \(\pm\) 10\({}^{3}\) \(\pm\) 9.42 \(\times\) 10\({}^{3}\) \(\pm\) 9.42 \(\times\) 10\({}^{3}\) \(\pm\) 10\({}^{3}\) \(\pm\) 9.50 \(\times\) 10\({}^{3}\) \\ \hline
11 & 3.30 \(\times\) 10\({}^{3}\) \(\pm\) 3.83 \(\times\) 10\({}^{3}\) & 3.65 \(\times\) 10\({}^{3}\) \(\pm\) 1.47 \(\times\) 10\({}^{3}\) & 3.19 \(\times\) 10\({}^{3}\) \(\pm\) 1.32 \(\times\) 10\({}^{3}\) \(\pm\) 1.32 \(\times\) 10\({}^{3}\) \(\pm\) 5.74 & 1.33 \(\times\) 10\({}^{3}\) \(\pm\) 2.06 \(\times\) 10\({}^{3}\) \(\pm\) 1.46 \(\times\) 10\({}^{3}\) \(\pm\) 1.73 \(\times\) 10\({}^{3}\) \\ \hline
12 & 6.62 \(\times\) 10\({}^{3}\) \(\pm\) 4.59 \(\times\) 10\({}^{3}\) & 8.86 \(\times\) 10\({}^{3}\) \(\pm\) 3.97 \(\times\) 10\({}^{3}\) & 1.31 \(\times\) 10\({}^{3}\) \(\pm\) 9.01 \(\times\) 10\({}^{3}\) & 1.04 \(\times\) 10\({}^{3}\) \(\pm\) 5.90 \(\times\) 10\({}^{3}\) \(\pm\) 4.24 \(\times\) 10\({}^{3}\) \(\pm\) 4.97 \(\times\) 10\({}^{3}\) & 3.84 \(\times\) 10\({}^{3}\) \(\pm\) 2.62 \(\times\) 10\({}^{3}\) \\ \hline \hline \end{tabular}
\end{table}