Table 1 Numerical comparisons between different algorithms for \(p=q=500\)
rr | spr | sr | Method | Iter. | Time | \(\frac{\|L^{k}-L^{*}\|}{\|L^{*}\|}\) | \(\frac{\|S^{k}-S^{*}\|}{\|S^{*}\|}\) |
|---|---|---|---|---|---|---|---|
0.05 | 0.05 | 0.9 | FJD-ALM | 97 | 7.42 | 5.7325e−04 | 9.7830e−05 |
PPPSM | 133 | 14.70 | 2.4034e−04 | 3.6358e−05 | |||
MHD-ALM | 44 | 5.17 | 7.5910e−04 | 1.5025e−04 | |||
0.05 | 0.05 | 0.6 | FJD-ALM | 120 | 11.03 | 1.6528e−03 | 1.3102e−04 |
PPPSM | 181 | 17.62 | 5.4329e−04 | 5.1513e−05 | |||
MHD-ALM | 75 | 6.76 | 1.7148e−03 | 1.1343e−04 | |||
0.1 | 0.1 | 0.9 | FJD-ALM | 127 | 11.39 | 2.2566e−03 | 2.2374e−04 |
PPPSM | 175 | 17.79 | 5.2215e−04 | 6.1755e−05 | |||
MHD-ALM | 80 | 6.86 | 1.5097e−03 | 1.5994e−04 | |||
0.1 | 0.1 | 0.8 | FJD-ALM | 188 | 17.45 | 4.2439e−03 | 2.7536e−04 |
PPPSM | 222 | 20.78 | 1.2697e−03 | 9.5339e−05 | |||
MHD-ALM | 119 | 10.15 | 2.8338e−03 | 1.9242e−04 | |||
0.1 | 0.15 | 0.9 | FJD-ALM | 209 | 20.18 | 3.9031e−03 | 2.3423e−04 |
PPPSM | 222 | 25.95 | 1.3444e−03 | 9.5133e−05 | |||
MHD-ALM | 120 | 12.37 | 3.2420e−03 | 2.0704e−04 |