Research Article
Global Convergence of a Modified Spectral Conjugate Gradient Method
Table 1
Comparison of efficiency with the other methods.
| Function | Algorithm | Dim | GV | NI | NF | CT(s) |
| Rrosenbrock | mfr | 2 | | 328 | 7069 | 0.2970 | prp | 2 | | 760 | 41189 | 1.4370 | mprp | 2 | | 124 | 2816 | 0.0940 | msprp | 2 | | 122 | 2597 | 0.1400 |
| Freudenstein and Roth | mfr | 2 | | 236 | 5110 | 0.2190 | prp | 2 | | 331 | 18798 | 0.6250 | mprp | 2 | | 67 | 1904 | 0.0940 | msprp | 2 | | 62 | 1437 | 0.0780 |
| Brown badly | mfr | 2 | — | — | — | — | prp | 2 | — | — | — | — | mprp | 2 | | 105 | 10279 | 0.2030 | msprp | 2 | | 70 | 7117 | 0.2660 |
| Beale | mfr | 2 | | 74 | 714 | 0.0780 | prp | 2 | | 292 | 12568 | 0.4370 | mprp | 2 | | 130 | 1539 | 0.0940 | msprp | 2 | | 91 | 877 | 0.0470 |
| Powell singular | mfr | 4 | | 4122 | 10578 | 0.6870 | prp | 4 | — | — | — | — | mprp | 4 | | 13565 | 218964 | 5.2660 | msprp | 4 | | 11893 | 169537 | 7.2500 |
| Wood | mfr | 4 | | 263 | 5787 | 0.2660 | prp | 4 | | 1284 | 69501 | 2.3440 | mprp | 4 | | 280 | 6432 | 0.1720 | msprp | 4 | | 404 | 9643 | 0.4070 |
| Extended Powell singular | mfr | 4 | | 4122 | 10578 | 0.6800 | prp | 4 | — | — | — | — | mprp | 4 | | 13565 | 218964 | 5.5310 | msprp | 4 | | 11893 | 169537 | 7.4070 |
| Broyden tridiagonal | mfr | 4 | | 53 | 784 | 0.0630 | prp | 4 | | 87 | 4460 | 0.1180 | mprp | 4 | | 39 | 430 | 0.0320 | msprp | 4 | | 52 | 785 | 0.0780 |
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