\begin{tabular}{|ccc|cc|cc|cc|} \hline
\multicolumn{3}{|c||}{Dim, Density, \& $\kappa(A)$} & \multicolumn{2}{|c|}{\% Reduction in $\kappa$} & \multicolumn{2}{|c|}{PCG Iterations} &\multicolumn{2}{|c|}{PCG CPU Time}\cr\cline{1-3}\cline{3-9}
  $n$ & density & $\kappa(A)$ & Alg. in \cite{doi:10.1287/opre.2022.0592} & Alg. C.1 & Alg. in \cite{doi:10.1287/opre.2022.0592} & Alg C.1 & Alg. in \cite{doi:10.1287/opre.2022.0592} & Alg. C.1 \cr\hline
 1000 & 3.3e-03 & 1.0e+09 & -2.6e+01 & 3.7e+01 & 115340 & 97612 & 1.02 & 0.90 \cr\hline
 1300 & 2.5e-03 & 1.3e+09 & -2.6e+01 & 6.8e+01 & 150922 & 89341 & 1.71 & 1.02 \cr\hline
 1600 & 2.0e-03 & 1.6e+09 & -4.3e+01 & 3.1e+01 & 178520 & 154553 & 2.46 & 2.13 \cr\hline
 1900 & 1.7e-03 & 1.9e+09 & -3.5e+01 & 7.0e+01 & 202601 & 120176 & 3.29 & 1.98 \cr\hline
 2200 & 1.4e-03 & 2.2e+09 & -4.9e+01 & 7.1e+01 & 246489 & 128340 & 4.84 & 2.53 \cr\hline
 2500 & 1.2e-03 & 2.5e+09 & -2.3e+01 & 2.5e+01 & 251249 & 220359 & 5.62 & 4.95 \cr\hline
 2800 & 1.1e-03 & 2.8e+09 & -4.2e+01 & 1.6e+01 & 290864 & 253696 & 7.19 & 6.28 \cr\hline
 3100 & 9.9e-04 & 3.1e+09 & -2.9e+01 & 6.6e+01 & 305755 & 177081 & 8.33 & 4.84 \cr\hline
 3400 & 9.0e-04 & 3.4e+09 & -3.3e+01 & 5.2e+01 & 327618 & 222784 & 9.76 & 6.62 \cr\hline
 3700 & 8.3e-04 & 3.7e+09 & -2.5e+01 & 1.7e+01 & 330854 & 306415 & 10.72 & 9.89 \cr\hline
 4000 & 7.6e-04 & 4.0e+09 & -4.4e+01 & 5.7e+01 & 365179 & 235355 & 12.76 & 8.20 \cr\hline
 4300 & 7.1e-04 & 4.3e+09 & -2.9e+01 & 5.3e+01 & 376541 & 257040 & 14.15 & 9.69 \cr\hline
 4600 & 6.6e-04 & 4.6e+09 & -4.2e+01 & 3.8e+01 & 401636 & 307104 & 16.18 & 12.34 \cr\hline
 4900 & 6.2e-04 & 4.9e+09 & -1.1e+01 & 8.7e+00 & 403730 & 383093 & 17.33 & 16.48 \cr\hline
 5200 & 5.8e-04 & 5.2e+09 & -3.7e+01 & 4.9e+01 & 458830 & 302912 & 20.81 & 13.77 \cr\hline
 5500 & 5.5e-04 & 5.5e+09 & -3.3e+01 & 3.8e+01 & 460970 & 343189 & 22.21 & 16.50 \cr\hline
 5800 & 5.2e-04 & 5.8e+09 & -3.2e+01 & 4.5e+01 & 467859 & 337635 & 23.68 & 17.05 \cr\hline
 6100 & 4.9e-04 & 6.1e+09 & -5.0e+01 & 4.4e+01 & 507732 & 352004 & 26.98 & 18.66 \cr\hline
 6400 & 4.7e-04 & 6.4e+09 & -2.2e+01 & 4.3e+01 & 487284 & 358570 & 27.18 & 20.07 \cr\hline
 6700 & 4.4e-04 & 6.7e+09 & -4.0e+01 & 4.1e+01 & 525544 & 379455 & 30.70 & 22.17 \cr\hline
 7000 & 4.2e-04 & 7.0e+09 & -2.9e+01 & 3.9e+01 & 529965 & 394440 & 32.41 & 24.04 \cr\hline
 7300 & 4.1e-04 & 7.3e+09 & -5.3e+01 & 2.7e+00 & 569603 & 512406 & 36.14 & 32.53 \cr\hline
 7600 & 3.9e-04 & 7.6e+09 & -2.9e+01 & 7.4e-13 & 556700 & 528549 & 36.83 & 34.94 \cr\hline
 7900 & 3.7e-04 & 7.9e+09 & -2.2e+01 & 3.6e+01 & 571141 & 437729 & 39.26 & 30.09 \cr\hline
 8200 & 3.6e-04 & 8.2e+09 & -6.6e+01 & 3.5e+01 & 614096 & 449955 & 43.92 & 32.18 \cr\hline
 8500 & 3.5e-04 & 8.5e+09 & -2.8e+01 & 3.5e+01 & 570400 & 455269 & 42.29 & 33.78 \cr\hline
 8800 & 3.3e-04 & 8.8e+09 & -3.6e+01 & 3.4e+01 & 626901 & 476385 & 48.30 & 36.86 \cr\hline
 9100 & 3.2e-04 & 9.1e+09 & -1.8e+01 & 2.0e+01 & 599788 & 528119 & 47.93 & 41.95 \cr\hline
 9400 & 3.1e-04 & 9.4e+09 & -2.0e+01 & 8.8e+00 & 630375 & 577302 & 51.57 & 47.41 \cr\hline
 9700 & 3.0e-04 & 9.7e+09 & -2.9e+01 & 3.1e+01 & 640995 & 508810 & 54.60 & 43.39 \cr\hline
10000 & 2.9e-04 & 1.0e+10 & -4.5e+01 & 3.1e+01 & 685653 & 519018 & 60.32 & 45.62 \cr\hline
10300 & 2.8e-04 & 1.0e+10 & -2.5e+01 & 2.9e+01 & 667930 & 540192 & 94.18 & 73.77 \cr\hline
10600 & 2.8e-04 & 1.1e+10 & -4.4e+01 & 2.9e+01 & 715141 & 546513 & 100.73 & 72.12 \cr\hline
10900 & 2.7e-04 & 1.1e+10 & -3.9e+01 & 1.9e+01 & 724046 & 590975 & 122.17 & 103.60 \cr\hline
11200 & 2.6e-04 & 1.1e+10 & -2.4e+01 & 2.8e+01 & 697926 & 564635 & 123.62 & 98.01 \cr\hline
11500 & 2.5e-04 & 1.1e+10 & -8.9e+00 & 2.4e+01 & 674744 & 591017 & 123.21 & 105.38 \cr\hline
11800 & 2.5e-04 & 1.2e+10 & -3.9e+01 & 1.7e+01 & 759543 & 631727 & 126.21 & 101.22 \cr\hline
12100 & 2.4e-04 & 1.2e+10 & -2.9e+01 & 2.6e+01 & 753466 & 602102 & 124.03 & 102.56 \cr\hline
12400 & 2.3e-04 & 1.2e+10 & -4.3e+01 & 2.5e+01 & 776591 & 613785 & 123.09 & 90.23 \cr\hline
12700 & 2.3e-04 & 1.3e+10 & -3.3e+01 & 2.5e+01 & 776271 & 621762 & 137.31 & 106.14 \cr\hline
13000 & 2.2e-04 & 1.3e+10 & -3.2e+01 & 1.1e+01 & 770468 & 683497 & 138.04 & 122.07 \cr\hline
13300 & 2.2e-04 & 1.3e+10 & -2.7e+01 & 2.4e+01 & 763526 & 646019 & 138.30 & 116.34 \cr\hline
13600 & 2.1e-04 & 1.4e+10 & -3.5e+01 & 1.7e+01 & 814873 & 680430 & 141.08 & 118.19 \cr\hline
13900 & 2.1e-04 & 1.4e+10 & -5.5e+01 & 2.3e+01 & 865682 & 654026 & 160.41 & 125.69 \cr\hline
14200 & 2.0e-04 & 1.4e+10 & -4.4e+01 & 2.3e+01 & 857069 & 666636 & 162.56 & 130.88 \cr\hline
14500 & 2.0e-04 & 1.5e+10 & -4.3e+01 & 1.1e+01 & 872791 & 729504 & 173.93 & 141.72 \cr\hline
14800 & 2.0e-04 & 1.5e+10 & -3.0e+01 & 8.5e+00 & 833167 & 747884 & 166.70 & 150.00 \cr\hline
\end{tabular}
