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

Table 2

Summary results of EDL, MHSDL3, MHSDL4, MHSDL5, and MHSDL6 methods with respect to NFE.

Test function	MHSDL3	MHSDL4	MHSDL5	EDL	MHSDL6
Extended penalty	54876	73764	73429	46820	49791
Perturbed quadratic	56691737	34287604	33885701	13168688	18486375
Raydan 1	5066739	3364983	3236335	1551846	2170553
Raydan 2	6554	1162	1162	159	428
Diagonal 1	5004640	3256274	3022015	1200086	744278
Diagonal 2	353976	540878	543200	1030010	542600
Diagonal 3	6339146	3998904	4229565	1798032	1400076
Hager	192474	107413	106534	59187	69735
Generalized tridiagonal 1	37429	27860	28138	10760	15177
Extended TET	19546	77422	76925	40340	29334
Diagonal 4	713120	425023	418666	155027	242443
Diagonal 5	6874	50460	50460	140	442
Extended Himmelblau	45972	192362	190524	26104	80854
Perturbed quadratic diagonal	135901222	94177165	90238441	48147512	57702654
Quadratic QF1	55972697	33836473	33243711	12316721	12853424
Extended quadratic penalty QP1	17016	12882	12565	11116	10544
Extended quadratic penalty QP2	13015888	7454686	7584960	2743358	4030601
Extended quadratic exponential EP1	14914	18463	18463	14132	15133
Extended tridiagonal 2	36450	22564	22379	9687	12920
ARWHEAD (CUTE)	4296028	3305257	3182138	1846606	2230650
ENGVAL1 (CUTE)	40462	22432	22898	8209	12858
INDEF (CUTE)	1808	2182	5995	2060	104962
QUARTC (CUTE)	347926	524662	524662	1048648	524422
Diagonal 6	7394	1416	1408	159	468
Generalized quartic	14364	21842	48770	16695	14103
Diagonal 7	6454	6838	6838	3891	4521
Diagonal 8	6098	6938	6938	4161	5494
Full Hessian FH3	60792	212799	212701	89890	114962