Operations Research Transactions ›› 2022, Vol. 26 ›› Issue (2): 64-72.doi: 10.15960/j.cnki.issn.1007-6093.2022.02.006
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Huiling ZHANG1,*(), Naoerzai SAI1, Xiaoyun WU1
Received:
2020-09-02
Online:
2022-06-15
Published:
2022-05-27
Contact:
Huiling ZHANG
E-mail:zhl02061146@126.com
CLC Number:
Huiling ZHANG, Naoerzai SAI, Xiaoyun WU. Modified PRP conjugate gradient method for unconstrained optimization[J]. Operations Research Transactions, 2022, 26(2): 64-72.
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Function | Dim | PRP方法 | MPRP方法 | |||
NI | CPU/s | NI | CPU/s | |||
Freudenstein & Roth | 3 000 | 926 | 2.24 | 95 | 0.18 | |
5 000 | 354 | 1.35 | 17 | 0.01 | ||
Trigonometric | 3 000 | 29 | 0.07 | 29 | 0.07 | |
5 000 | 29 | 0.08 | 29 | 0.09 | ||
Rosenbrock | 3 000 | 50 | 0.01 | 45 | 0.02 | |
5 000 | 46 | 0.03 | 44 | 0.01 | ||
Beale | 3 000 | 28 | 0.01 | 37 | 0.02 | |
5 000 | 19 | 0.02 | 37 | 0.01 | ||
Perturbed Quadratic | 3 000 | 545 | 0.18 | 542 | 0.17 | |
5 000 | 859 | 0.47 | 970 | 0.52 | ||
Diagonal 2 | 3 000 | 10 001 | 17.55 | 552 | 0.51 | |
5 000 | 10 001 | 28.48 | 512 | 0.88 | ||
Diagonal 3 | 3 000 | 5 529 | 102.89 | 4 924 | 98 | |
5 000 | 10 001 | 353.97 | 2 391 | 30.28 | ||
Hager | 3 000 | 1 110 | 17.95 | 1 066 | 18.26 | |
5 000 | 1 318 | 35.17 | 1 653 | 44.5 | ||
Extended Tridiagonal 1 | 3 000 | 19 | 0.01 | 27 | 0.02 | |
5 000 | 41 | 0.04 | 31 | 0.01 | ||
Generalized Tridiagonal 2 | 3 000 | 73 | 0.03 | 86 | 0.03 | |
5 000 | 62 | 0.04 | 70 | 0.05 | ||
Generalized PSC1 | 3 000 | 10 001 | 20.88 | 876 | 1.07 | |
5 000 | 10 001 | 35.81 | 2 079 | 3.93 | ||
Extended Powell | 3 000 | 142 | 0.03 | 514 | 0.14 | |
5 000 | 283 | 0.14 | 137 | 0.08 | ||
Extended Maratos | 3 000 | 98 | 0.03 | 162 | 0.05 | |
5 000 | 100 | 0.06 | 150 | 0.06 | ||
Extended Cliff | 3 000 | 44 | 0.03 | 40 | 0.03 | |
5 000 | 17 | 0.03 | 17 | 0.03 | ||
Quadratic Diagonal Perturbed | 3 000 | 723 | 0.25 | 486 | 0.17 | |
5 000 | 584 | 0.36 | 579 | 0.38 | ||
Extended Wood | 3 000 | 78 | 0.02 | 34 | 0.01 | |
5 000 | 40 | 0.03 | 224 | 0.11 | ||
Quadratic QF1 | 3 000 | 596 | 0.17 | 580 | 0.22 | |
5 000 | 1 039 | 0.55 | 859 | 0.48 | ||
Extended Quadratic Penalty QP1 | 3 000 | 4 281 | 11.32 | 28 | 0.04 | |
5 000 | 1 337 | 5.83 | 1 090 | 5.75 | ||
Extended Quadratic Penalty QP2 | 3 000 | 65 | 0.1 | 52 | 0.08 | |
5 000 | 56 | 0.12 | 46 | 0.12 | ||
Quadratic QF2 | 3 000 | 653 | 0.22 | 831 | 0.26 | |
5 000 | 10 001 | 913.13 | 870 | 0.52 | ||
TRIDIA (CUTE) | 3 000 | 4 246 | 1.34 | 3 734 | 1.16 | |
5 000 | 2 628 | 1.47 | 4 237 | 2.26 | ||
ARWHEAD (CUTE) | 3 000 | 77 | 0.12 | 33 | 0.02 | |
5 000 | 10 001 | 23.69 | 17 | 0.03 | ||
NONDQUAR (CUTE) | 3 000 | 10 001 | 14.48 | 3 092 | 1.36 | |
5 000 | 10 001 | 24 | 3 777 | 2.72 | ||
DIXMAANE (CUTE) | 3 000 | 482 | 0.38 | 434 | 0.32 | |
5 000 | 10 001 | 26.56 | 606 | 0.78 | ||
Partial Perturbed Quadratic | 3 000 | 414 | 27.12 | 332 | 21.55 | |
5 000 | 119 | 23.61 | 129 | 24.93 | ||
Broyden Tridiagonal | 3 000 | 63 | 0.02 | 72 | 0.01 | |
5 000 | 65 | 0.04 | 68 | 0.05 | ||
Almost Perturbed Quadratic | 3 000 | 651 | 0.21 | 685 | 0.22 | |
5 000 | 991 | 0.48 | 776 | 0.37 | ||
Tridiagonal Perturbed Quadratic | 3 000 | 627 | 0.22 | 641 | 0.22 | |
5 000 | 886 | 0.52 | 881 | 0.51 | ||
EDENSCH (CUTE) | 3 000 | 74 | 0.17 | 59 | 0.15 | |
5 000 | 91 | 0.36 | 64 | 0.21 | ||
LIARWHD (CUTE) | 3 000 | 56 | 0.03 | 63 | 0.04 | |
5 000 | 43 | 0.04 | 29 | 0.01 | ||
DIXMAANG (CUTE) | 3 000 | 10 001 | 16.91 | 680 | 1.35 | |
5 000 | 10 001 | 28.36 | 705 | 2.15 | ||
DIXMAANH (CUTE) | 3 000 | 10 001 | 24.61 | 643 | 2.15 | |
5 000 | 10 001 | 48.65 | 779 | 3.3 | ||
DIXMAANI (CUTE) | 3 000 | 10 001 | 16.28 | 433 | 0.34 | |
5 000 | 10 001 | 26.97 | 641 | 0.94 | ||
DIXMAANJ (CUTE) | 3 000 | 10 001 | 16.46 | 534 | 1.08 | |
5 000 | 10 001 | 27.37 | 1 449 | 5.2 | ||
DIXMAANK (CUTE) | 3 000 | 10 001 | 17.61 | 1 200 | 5.32 | |
5 000 | 10 001 | 28 | 1 766 | 6.7 |
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