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

Table 1

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

Test function	MHSDL3	MHSDL4	MHSDL5	EDL	MHSDL6
Extended penalty	1466	2243	2231	1259	1371
Perturbed quadratic	1203710	754291	746557	305622	423037
Raydan 1	159055	110587	106586	55477	75154
Raydan 2	1636	441	441	70	209
Diagonal 1	116788	78844	73512	30978	20332
Diagonal 2	176983	270434	271595	515000	271295
Diagonal 3	150328	98647	104417	47155	37711
Hager	8666	5219	5157	3234	3625
Generalized tridiagonal 1	1862	1471	1485	639	877
Extended TET	1357	5954	5915	4030	2664
Diagonal 4	30693	19589	19332	8040	12012
Diagonal 5	1721	25120	25120	60	216
Extended Himmelblau	1777	8023	7946	1376	3682
Perturbed quadratic diagonal	2940970	2115659	2027128	1136414	1352704
Quadratic QF1	1270802	799192	786032	309509	325415
Extended quadratic penalty QP1	770	594	575	560	543
Extended quadratic penalty QP2	399671	240530	245254	96620	137799
Extended quadratic exponential EP1	462	606	606	513	526
Extended tridiagonal 2	3119	2176	2177	1132	1455
ARWHEAD (CUTE)	88824	69868	67413	40713	48669
ENGVAL1 (CUTE)	2323	1407	1415	552	820
INDEF (CUTE)	20	31	1080	23	36240
QUARTC (CUTE)	173913	262291	262291	524299	262181
Diagonal 6	1824	508	508	70	227
Generalized quartic	1208	1403	2846	1265	1154
Diagonal 7	3217	655	655	653	580
Diagonal 8	511	698	698	686	596
Full Hessian FH3	1456	5353	5350	2523	3176