A Novel Value for the Parameter in the Dai-Liao-Type Conjugate Gradient Method

Table 3

Summary results of EDL, MHSDL3, MHSDL4, MHSDL5, and MHSDL6 methods with respect to CPU time (sec).

Test function	MHSDL3	MHSDL4	MHSDL5	EDL	MHSDL6
Extended penalty	29.75	34.11	31.42	18.30	24.27
Perturbed quadratic	40532.66	24358.20	24947.84	8335.80	13225.80
Raydan 1	3054.67	1904.48	1692.06	690.91	1184.86
Raydan 2	6.77	1.58	1.66	0.31	0.77
Diagonal 1	7834.03	5106.41	4592.28	1476.89	486.09
Diagonal 2	885.13	1428.05	1447.02	2352.11	1513.50
Diagonal 3	13614.27	8416.77	9064.30	3132.02	1916.30
Hager	586.63	325.75	333.41	142.06	198.13
Generalized tridiagonal 1	66.14	35.59	34.42	15.19	21.63
Extended TET	20.50	78.34	82.94	41.23	31.45
Diagonal 4	134.53	77.86	87.88	30.41	55.34
Diagonal 5	18.06	134.73	121.09	0.56	1.84
Extended Himmelblau	11.13	44.47	44.36	6.19	18.30
Perturbed quadratic diagonal	91655.55	58226.16	60920.06	32179.38	36383.83
Quadratic QF1	62610.50	31552.48	28679.91	8832.11	8465.34
Extended quadratic penalty QP1	7.56	7.25	6.98	4.98	4.94
Extended quadratic penalty QP2	3814.16	2128.86	2288.55	671.52	1204.72
Extended quadratic exponential EP1	9.11	10.23	8.55	8.00	8.02
Extended tridiagonal 2	11.13	8.83	6.95	4.08	5.25
ARWHEAD (CUTE)	2709.42	2336.92	2369.28	1266.80	1689.80
ENGVAL1 (CUTE)	19.47	11.33	11.81	4.03	6.70
INDEF (CUTE)	2.44	2.89	10.70	1.92	774.34
QUARTC (CUTE)	3106.56	4818.58	4808.70	7138.72	4735.39
Diagonal 6	6.75	1.92	2.03	0.38	1.34
Generalized quartic	7.16	11.53	21.05	7.53	9.78
Diagonal 7	5.98	8.20	8.28	4.56	6.25
Diagonal 8	6.17	8.20	8.08	4.72	7.69
Full Hessian FH3	30.08	66.45	79.48	35.77	43.42