A New Hybrid PRPFR Conjugate Gradient Method for Solving Nonlinear Monotone Equations and Image Restoration Problems
Table 2
Test results of the PRPFR algorithm.
No.
Dim
PRPFR algorithm
NI/NF
CPU
GN
1
3000
13/135
0.03125
8.02E − 06
9000
17/205
1.71875
9.48E − 06
30000
61/802
13.046875
9.73E − 06
90000
6/91
2.421875
7.17E − 06
2
3000
14/39
0.0625
9.54E − 06
9000
14/39
0.828125
5.50E − 06
30000
13/36
0.984375
6.01E − 06
90000
12/33
1.21875
6.18E − 06
3
3000
19999/20253
33.25
1.46E − 05
9000
19501/19813
425.3125
9.99E − 06
30000
17291/17984
783.796875
1.00E − 05
90000
19518/21490
1765.453125
1.00E − 05
4
3000
24/49
0.0625
7.65E − 06
9000
25/51
0.515625
6.59E − 06
30000
26/53
1.0625
6.00E − 06
90000
27/55
2.734375
5.20E − 06
5
3000
49/192
0.078125
6.04E − 06
9000
60/229
1.140625
9.16E − 06
30000
49/190
3.5
4.52E − 06
90000
46/179
5.25
5.04E − 06
6
3000
28/147
0.109375
7.39E − 06
9000
29/151
1.1875
7.66E − 06
30000
29/154
3.09375
7.03E − 06
90000
33/170
5.171875
3.56E − 06
7
3000
22/46
0.046875
5.78E − 06
9000
23/48
0.234375
5.00E − 06
30000
23/48
1.203125
9.14E − 06
90000
24/50
2.234375
7.91E − 06
8
3000
1/3
0.0625
3.19E − 08
9000
1/3
0
0.00E + 00
30000
1/3
0.03125
0.00E + 00
90000
1/3
0.078125
0.00E + 00
9
3000
626/3337
1.96875
9.89E − 06
9000
1696/10439
71.9375
9.91E − 06
30000
1410/8756
150.765625
9.98E − 06
90000
1374/8779
236.90625
9.99E − 06
10
3000
917/5266
1.53125
9.96E − 06
9000
664/3474
24.890625
9.92E − 06
30000
480/3047
49.15625
9.87E − 06
90000
759/4313
119.015625
9.87E − 06
11
3000
305/1898
0.625
9.96E − 06
9000
276/1714
11.078125
9.69E − 06
30000
333/2069
35.9375
9.91E − 06
90000
283/1759
44.671875
8.69E − 06
12
3000
12/37
0.046875
5.29E − 06
9000
11/34
0.953125
5.99E − 06
30000
10/31
0.75
6.52E − 06
90000
9/28
1.5
7.52E − 06
: the serial number of the problem. : the dimensions of x. : the function evaluation numbers. : the iteration numbers. : the calculation time in seconds. : the final function norm evaluations when the program is stopped.
