A Conjugate Gradient Method with Global Convergence for Large-Scale Unconstrained Optimization Problems

Table 1

Numerical results.

Problem	Dim	MDL	DL	MHS	DY
ROSE	2	35/349/83	F	38/267/91	63/800/106
FROTH	2	18/88/29	9/25/18	15/84/26	16/38/26
BADSCP	2	28/275/64	36/510/96	42/362/96	F
BADSCB	2	26/446/48	F	28/452/50	F
BEALE	3	16/87/27	11/81/22	14/83/25	47/193/74
JENSAM	2	11/31/21	F	11/31/21	11/31/21
HELIX	3	49/347/81	28/164/54	47/390/73	80/406/126
BARD	3	18/38/26	24/145/37	18/86/26	48/148/77
GAUSS	3	4/9/5	3/7/4	4/9/5	4/9/5
SING	4	134/501/209	78/396/124	111/411/172	650/3254/1104
WOOD	4	102/613/182	179/865/306	207/1352/365	F
KOWOSB	4	39/178/66	46/383/72	53/259/88	462/1760/796
BIGGS	6	18/279/25	85/564/14	20/286/31	210/644/342
OSB2	11	268/1001/445	185/888/293	186/701/310	F
WATSON	20	1455/3587/2274	1426/4240/2255	1922/4843/3018	548/1480/864
ROSEX	8	36/446/90	26/421/62	38/362/93	63/764/100
	50	46/548/101	32/469/84	44/412/101	86/707/146
	100	45/459/99	23/445/57	46/414/102	71/856/112
SINGX	4	134/501/209	78/396/124	111/411/172	650/3254/1104
PEN1	2	5/18/12	12/182/34	5/18/12	5/18/12
PEN2	4	10/82/26	12/89/27	11/133/29	32/167/57
	50	131/764/254	405/1453/683	136/1056/256	121/724/242
VARDIM	2	3/9/7	3/9/7	3/9/7	3/9/7
	50	10/52/36	10/52/36	10/52/36	10/52/36
TRIG	3	13/129/27	11/82/25	15/225/27	162/974/267
	50	38/320/70	38/222/68	38/225/71	206/1662/290
	100	48/340/90	43/425/76	48/294/90	225/3077/286
BV	3	9/17/11	12/25/16	11/20/13	13/27/18
	10	64/171/97	50/148/81	64/172/99	59/163/93
IE	200	5/59/7	6/13/8	5/59/7	6/61/8
	500	5/11/7	6/13/8	6/13/8	6/13/8
TRID	3	14/33/18	10/26/17	14/33/18	15/84/21
	200	31/68/39	30/66/37	31/68/39	36/78/42
BAND	3	7/64/12	9/20/13	7/64/12	7/64/12
	50	19/670/26	15/278/23	19/670/26	F
	100	18/712/27	16/373/26	18/712/27	F
	500	18/677/26	16/339/27	18/677/26	F
LIN	1000	1/3/3	1/3/3	1/3/3	1/3/3
LIN1	10	1/3/3	1/3/3	1/3/3	1/3/3