Table 2 Numerical comparisons between different algorithms for \(p=q=1000\)
rr | spr | sr | Method | Iter. | Time | \(\frac{\|L^{k}-L^{*}\|}{\|L^{*}\|}\) | \(\frac{\|S^{k}-S^{*}\|}{\|S^{*}\|}\) |
|---|---|---|---|---|---|---|---|
0.05 | 0.05 | 0.9 | FJD-ALM | 105 | 93.16 | 2.6808e−04 | 6.1154e−05 |
PPPSM | 129 | 131.08 | 9.9216e−05 | 2.3683e−05 | |||
MHD-ALM | 46 | 46.82 | 3.5053e−04 | 9.5144e−05 | |||
0.05 | 0.05 | 0.6 | FJD-ALM | 139 | 117.67 | 7.1439e−04 | 6.8845e−05 |
PPPSM | 147 | 138.08 | 2.1260e−04 | 3.4427e−05 | |||
MHD-ALM | 57 | 53.31 | 5.9883e−04 | 9.8047e−05 | |||
0.1 | 0.1 | 0.9 | FJD-ALM | 119 | 100.13 | 9.3082e−04 | 1.6381e−04 |
PPPSM | 188 | 179.91 | 2.3296e−04 | 4.2820e−05 | |||
MHD-ALM | 61 | 57.04 | 8.9591e−04 | 1.6198e−04 | |||
0.1 | 0.1 | 0.8 | FJD-ALM | 133 | 114.80 | 1.2760e−03 | 1.8083e−04 |
PPPSM | 192 | 182.46 | 3.7423e−04 | 5.2624e−05 | |||
MHD-ALM | 76 | 67.08 | 1.3497e−03 | 1.6979e−04 | |||
0.1 | 0.15 | 0.9 | FJD-ALM | 139 | 117.89 | 1.9819e−03 | 2.3040e−04 |
PPPSM | 206 | 188.47 | 4.4773e−04 | 5.7452e−05 | |||
MHD-ALM | 84 | 76.34 | 1.6396e−03 | 1.8795e−04 |