Convergence Analysis of an Improved BFGS Method and Its Application in the Muskingum Model

Table 4

The numerical results for problems 35–51.

N0	Dim	MBFGS-MWWP			BFGS-WWP
		NI	NFG	CPU time	NI	NFG	CPU time
35	300	5	13	0.0625	5	13	0.0625
35	900	5	13	1.0937	5	13	1.0781
35	2700	5	13	19.5937	5	13	18.1093
36	300	45	118	0.8751	45	116	0.9375
36	900	47	122	13.5937	55	145	15.4375
36	2700	64	171	324.6562	64	167	316.7968
37	300	251	507	3.5625	251	507	3.7031
37	900	577	1159	160.8751	577	1159	176.6251
37	2700	869	1741	4684.3281	869	1741	4743.0937
38	300	5	15	0.0625	5	15	0.0625
38	900	5	15	1.0468	5	15	1.1718
38	2700	5	15	19.7343	5	15	18.9218
39	300	19	72	0.2522	19	67	0.3281
39	900	23	87	6.2656	21	81	5.2521
39	2700	34	118	173.1123	35	120	181.7812
40	300	485	1162	7.2187	520	1055	7.4375
40	900	506	1162	143.3437	731	1468	198.0625
40	2700	528	1270	2713.4218	829	1664	4167.6718
41	300	12	34	0.1718	12	34	0.1718
41	900	12	34	2.9062	12	34	3.0468
41	2700	12	34	56.5231	12	34	53.7968
42	300	18	60	0.2187	16	55	0.1875
42	900	4	21	0.0781	4	21	0.0468
42	2700	4	21	0.2968	4	21	0.3125
43	300	15	38	0.2656	15	38	0.2343
43	900	18	44	5.4062	18	44	4.6875
43	2700	19	46	94.0312	20	48	92.6562
44	300	29	71	0.4375	27	70	0.3752
44	900	47	120	13.0937	83	204	22.3593
44	2700	87	203	443.7031	99	224	494.0937
45	300	56	131	0.7812	63	146	0.9531
45	900	75	178	20.8281	90	209	25.4843
45	2700	81	190	414.4218	124	265	615.4062
46	300	70	157	0.9375	90	196	1.67187
46	900	121	276	34.6718	117	258	32.5468
46	2700	174	401	916.8752	199	416	1049.3437
47	300	110	225	2.2968	110	225	2.3752
47	900	219	446	73.8437	219	446	68.9843
47	2700	346	702	1940.3437	346	702	1948.3437
48	300	90	183	1.6252	90	183	1.7031
48	900	75	157	20.5625	75	157	20.0468
48	2700	144	291	741.3751	144	291	716.9375
49	300	197	399	2.6718	197	399	3.0781
49	900	422	849	117.1562	422	849	116.6562
49	2700	882	1766	4726.1875	882	1766	4725.7031
50	300	185	375	4.1718	185	375	4.0312
50	900	395	795	116.1562	395	795	112.3906
50	2700	859	1720	4628.0468	859	1720	4585.6251
51	300	24	58	0.3125	24	58	0.3125
51	900	21	56	5.7031	30	78	8.2523
51	2700	33	80	163.7812	27	72	127.3593