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Table. 1.

Problems 1 and 2 with k=0.01

(a) Total iterations and elapsed time

Problem 1 Problem 2
M [5] [6] HSOR [5] [6] HSOR
ltotal 256 1168 610 317 1479 796 404
512 2326 1194 610 2926 1563 796
1024 4578 2310 1194 5784 3055 1563
2048 10401 4826 2310 11514 6080 3055
4096 27312 10673 4826 22449 11996 6080
s 256 2.26 1.14 0.55 1.64 1.06 0.57
512 3.84 2.73 1.73 3.68 2.82 1.37
1024 15.51 8.53 3.54 15.21 10.72 3.69
2048 56.32 34.31 8.64 77.35 50.64 11.82
4096 338.54 137.42 38.03 282.64 152.91 44.49

(b) Absolute errors

M
Method Prob. 256 512 1024 2048 4096
[5] 2.9743e-6 2.9754e-6 2.9746e-6 2.9643e-6 2.8339e-6
[6] 1 2.9725e-6 2.9769e-6 2.9772e-6 2.9771e-6 2.9761e-6
HSOR 2.9576e-6 2.9726e-6 2.9764e-6 2.9770e-6 2.9751e-6
[5] 8.3876e-5 8.3876e-5 8.3876e-5 8.3876e-5 8.3876e-5
[6] 2 8.3875e-5 8.3875e-5 8.3876e-5 8.3876e-5 8.3876e-5
HSOR 8.3874e-5 8.3875e-5 8.3876e-5 8.3876e-5 8.3876e-5
Kyungpook Mathematical Journal 2022;62:699~713 https://doi.org/10.5666/KMJ.2022.62.4.699
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