A Mixed Spectral CD-DY Conjugate Gradient Method

Table 1

The performance of the CD method, DY method, CD-DY method, and SFR method.

Problem	Dim	CD	DY	CD-DY	SFR
ROSE	2	88/250/223	64/190/172	60/188/168	64/190/172
FROTH	2	—	42/168/138	38/151/123	—
BADSCP	2	682/1885/1637	—	2704/6550/6438	—
BADSCB	2	272/941/800	—	726/2051/1786	—
BEALE	2	73/177/155	75/186/164	68/175/145	75/186/164
JENSAM	2(𝑚=6)	17/61/43	10/49/26	26/80/57	15/48/32
HELIX	3	56/157/132	37/118/98	50/145/120	37/118/98
BRAD	3	75/224/189	66/208/177	37/120/98	66/208/177
SING	4	454/1074/1009	2286/4555/4545	850/1894/1863	1476/2901/2891
WOOD	4	184/438/399	100/291/240	139/396/337	100/291/240
KOWOSB	4	173/516/449	536/1449/1271	144/421/365	504/1386/1211
BD	4	43/169/132	39/158/121	28/144/113	37/152/116
WATSON	5	89/279/239	127/348/299	158/438/373	128/352/304
BIGGS	6	200/579/509	294/824/712	236/680/599	288/812/703
OSB2	11	3243/5413/5398	7006/11059/11048	584/1262/1226	7013/11102/11091
VAEDIM	5	6/57/38	6/57/38	6/57/38	6/57/38
	10	7/81/52	7/81/52	7/81/52	7/81/52
PEN1	50	2209/2565/2536	1727/2117/2043	116/221/190	1727/2117/2043
	100	62/223/182	31/157/121	31/167/131	31/157/121
TRIG	100	—	305/399/398	88/145/144	305/399/398
	500	—	343/424/423	109/189/188	344/427/425
ROSEX	500	92/267/238	68/207/186	65/205/182	68/207/186
	1000	98/287/255	68/207/186	65/205/182	68/207/186
SINGX	100	682/1593/1517	1488/3139/3073	1159/2366/2614	2411/5326/5084
	1000	511/1245/1135	2092/4451/4321	1374/3104/3064	5213/10042/10032
BV	500	1950/2543/2542	4796/6823/6822	1311/2131/2130	4784/6793/6792
	1000	632/833/832	414/449/448	414/449/448	414/449/448
IE	500	7/15/8	7/15/8	7/15/8	7/15/8
	1000	7/15/8	7/15/8	7/15/8	7/15/8
TRID	500	52/112/107	49/106/101	43/94/89	49/106/101
	1000	70/149/145	64/137/133	55/119/115	64/137/133