A conjugate gradient algorithm for large-scale unconstrained optimization problems and nonlinear equations

Yuan, Gonglin; Hu, Wujie

doi:10.1186/s13660-018-1703-1

Journal of Inequalities and Applications

Table 4 Numerical results

From: A conjugate gradient algorithm for large-scale unconstrained optimization problems and nonlinear equations

NO	Dim	Algorithm 5.1			Algorithm 6
NO	Dim	NI	NFG	CPU	NI	NFG	CPU
1	3000	161	162	3.931225	146	147	4.149627
1	6000	126	127	12.760882	115	116	11.122871
1	9000	111	112	22.464144	99	100	19.515725
2	3000	5	76	1.185608	5	76	1.060807
2	6000	6	91	4.758031	5	76	4.009226
2	9000	5	62	6.926444	5	62	6.754843
3	3000	33	228	3.276021	18	106	1.778411
3	6000	40	275	15.490899	18	106	6.084039
3	9000	40	285	33.243813	18	106	12.54248
4	3000	4	61	0.842405	4	61	0.936006
4	6000	4	47	2.698817	4	61	3.322821
4	9000	4	47	5.226033	4	61	6.817244
5	3000	23	237	3.244821	23	237	3.354022
5	6000	25	263	14.133691	25	263	13.930889
5	9000	26	278	30.186193	26	278	30.092593
6	3000	1999	29986	382.951255	1999	29986	365.369942
6	6000	88	1307	68.141237	1999	29986	1484.240314
6	9000	65	962	101.806253	1999	29986	3113.998361
7	3000	4	47	0.748805	3	46	0.624004
7	6000	4	47	2.589617	3	46	2.386815
7	9000	4	47	5.257234	3	46	5.054432
8	3000	25	156	2.854818	17	142	1.872012
8	6000	32	189	10.826469	18	162	8.377254
8	9000	28	192	21.512538	19	174	18.938521
9	3000	10	151	1.934412	5	76	1.014007
9	6000	4	61	3.510023	5	76	3.884425
9	9000	4	61	6.614442	6	91	9.609662
10	3000	1999	29986	386.804479	1999	29986	359.816306
10	6000	1999	29986	1523.068963	1999	29986	1469.59182
10	9000	1999	29986	3164.339884	1999	29986	3087.712193
11	3000	498	7457	98.32743	499	7472	93.101397
11	6000	498	7457	385.026068	499	7472	367.787958
11	9000	498	7457	794.07629	498	7457	774.825767
12	3000	1999	2000	51.059127	1999	2000	46.238696
12	6000	1999	2000	199.322478	1999	2000	185.71919
12	9000	1999	2000	405.680601	1999	2000	391.234908
13	3000	1	2	0.0312	1	2	0.0624
13	6000	1	2	0.156001	1	2	0.187201
13	9000	1	2	0.140401	1	2	0.249602
14	3000	1999	29972	400.220565	1999	29973	362.671125
14	6000	1999	29972	1544.316299	1999	29973	1460.294161
14	9000	1999	29972	3197.287295	1999	29973	3105.168705
15	3000	4	61	0.733205	4	61	0.733205
15	6000	4	61	3.790824	4	61	3.026419
15	9000	4	61	6.552042	4	61	6.146439
16	3000	5	62	1.060807	5	62	0.858006
16	6000	5	62	3.400822	5	62	3.291621
16	9000	5	62	6.942044	5	62	6.25564
17	3000	6	77	1.326009	6	91	1.216808
17	6000	6	77	4.243227	6	91	4.570829
17	9000	6	77	8.548855	6	91	9.40686
18	3000	5	76	0.936006	5	76	0.920406
18	6000	5	76	3.900025	5	76	3.775224
18	9000	5	76	8.533255	5	76	7.86245
19	3000	108	1060	15.5689	141	1272	17.565713
19	6000	81	788	44.429085	114	1029	53.820345
19	9000	63	628	70.512452	100	903	99.715839

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