Global Convergence of a Nonlinear Conjugate Gradient Method

Table 2

The numerical results of the VPRP method.

Problem	Dim	NI	NF	NG	CPU
ROSE	2	24	111	85	0.1585
FROTH	2	12	78	59	0.0698
BADSCP	2	99	394	336	0.4000
BADSCB	2	13	30	19	0.0448
BEALE	2	12	48	35	0.0402
HELIX	3	74	203	175	0.5000
BRAD	3	30	100	80	0.2027
GAUSS	3	3	7	4	0.0085
MEYER	3	1	1	1	0.0058
GULF	3	1	2	2	0.0052
BOX	3	1	1	1	0.0561
SING	4	101	341	289	0.7000
WOOD	4	174	482	417	0.6000
KOWOSB	4	71	234	203	0.3000
BD	4	42	161	125	0.2451
OSB1	5	1	1	1	0.0063
BIGGS	6	113	375	330	0.8000
OSB2	11	264	667	603	1.5000
JENSAM	6	9	33	17	0.0696
	7	11	39	17	0.1137
	8	10	42	19	0.0883
	9	17	90	57	0.1850
	10	17	124	84	0.1435
	11	6	76	46	0.1111
VARDIM	3	4	40	26	0.0290
	5	6	57	38	0.0203
	6	5	65	43	0.0273
	8	7	72	47	0.036
	9	7	78	50	0.0715
	10	7	81	52	0.0458
	12	7	90	58	0.0672
	15	8	92	60	0.0622
WATSON	5	193	535	473	1.4000
	6	342	1002	890	2.2000
	7	1451	4157	3678	5.0000
	8	6720	19530	17300	20.0000
	10	NaN	NaN	NaN	NaN
	12	3507	10432	9234	13.0000
	15	5271	15817	14006	24.0000
	20	NaN	NaN	NaN	NaN
PEN2	5	129	499	434	1.0000
	10	90	379	328	0.3000
	15	434	1467	1298	2.2000
	20	941	2959	2612	3.0000
	30	771	2531	2193	3.0000
	40	248	978	860	1.6000
	50	952	2788	2511	3.0000
	60	927	2822	2435	4.0000
PEN1	5	32	151	124	0.3752
	10	90	383	324	0.8000
	20	28	160	121	0.1119
	30	76	334	279	0.3000
	50	64	344	280	0.5000
	100	23	160	122	0.2212
	200	21	174	128	0.4081
	300	28	192	143	1.0207
TRIG	10	36	82	71	0.4048
	20	56	125	114	0.6413
	50	45	93	85	0.3426
	100	58	120	113	0.4573
	200	64	135	128	2.0248
	300	52	102	99	12.4258
	400	60	132	125	52.5691
	500	59	127	116	101.6207
ROSEX	100	24	111	85	0.2798
	200	24	111	85	0.2808
	300	24	111	85	0.3136
	400	24	111	85	0.4271
	500	24	111	85	0.6181
	1000	24	111	85	2.1821
	1500	24	111	85	4.7644
	2000	24	111	85	8.8878
SINGX	100	169	562	483	0.6000
	200	199	676	576	1.4000
	300	365	1181	1031	3.7000
	400	627	2025	1756	9.0000
	500	129	431	367	2.5000
	1000	229	788	675	16.9000
	1500	100	329	280	16.0000
	2000	128	428	363	36.0000
BV	200	NaN	NaN	NaN	NaN
	300	7278	12990	12989	55.0000
	400	3837	6707	6706	42.0000
	500	1842	3236	3235	26.0000
	600	898	1562	1561	17.6000
	1000	133	232	231	6.2000
	1500	19	36	35	2.0484
	2000	2	6	5	0.5156
IE	200	7	15	8	0.3596
	300	7	15	8	0.7986
	400	7	15	8	1.4202
	500	7	15	8	2.2147
	600	7	15	8	3.1811
	1000	7	15	8	8.8316
	1500	7	15	8	19.7838
	2000	7	15	8	34.7553
TRID	200	33	75	71	0.3758
	300	35	79	75	0.3654
	400	35	78	74	0.3912
	500	35	78	74	0.5188
	600	37	82	78	0.7388
	1000	34	76	72	1.6832
	1500	37	86	81	4.1950
	2000	37	86	80	7.5255