A Simple Sufficient Descent Method for Unconstrained Optimization

Table 1

Test results for SSD method.

Problem	Dim	Iter	Nf	Time	Fv	Norm-2	Norm-0
ARGLINA	200	2	3	0.01	0.2000000𝐸+03	0.15350𝐸−12	0.28232𝐸−23
ARWHEAD	5000	12	34	0.03	0.5550005𝐸−12	0.80345𝐸−05	0.89063𝐸−10
BROWNAL	200	3175	5126	1.40	0.1475222𝐸−08	0.29801𝐸−05	0.93967𝐸−10
BROYDN7D	5000	5986	9664	20.09	0.1815779𝐸+04	0.17731𝐸−05	0.20076𝐸−10
BRYBND	5000	105	160	0.28	0.3534654𝐸−11	0.29153𝐸−05	0.29287𝐸−10
DIXMAANA	3000	140	190	0.11	0.1000000𝐸+01	0.24750𝐸−06	0.93362𝐸−10
DIXMAANB	3000	130	179	0.10	0.1000000𝐸+01	0.30449𝐸−06	0.61730𝐸−10
DIXMAANC	3000	120	166	0.10	0.1000000𝐸+01	0.10046𝐸−05	0.86335𝐸−10
DIXMAAND	3000	139	188	0.11	0.1000000𝐸+01	0.15385𝐸−05	0.77064𝐸−10
QDRTIC	5000	1095	1757	1.72	0.2290216𝐸−10	0.95704𝐸−05	0.94807𝐸−10
DQRTIC	5000	196	282	0.11	0.3480734𝐸−06	0.68218𝐸−06	0.46755𝐸−10
EDENSCH	2000	87	136	0.06	0.1200328𝐸+05	0.38002𝐸−05	0.97655𝐸−10
ENGVAL1	5000	70	120	0.12	0.5548668𝐸+04	0.37840𝐸−05	0.82778𝐸−10
FLETCBV2	5000	0	1	0.00	−0.5002682𝐸+00	0.79960𝐸−07	0.19455𝐸−10
MANCINO	100	26	56	0.71	0.3102390𝐸−17	0.91840𝐸−06	0.23394𝐸−10
QUARTC	5000	196	282	0.11	0.3480734𝐸−06	0.68218𝐸−06	0.46755𝐸−10
SCHMVETT	5000	255	386	1.12	−0.1499400𝐸+05	0.68017𝐸−05	0.67249𝐸−10
SENSORS	100	56	184	0.85	−0.2101781𝐸+04	0.46106𝐸−05	0.35706𝐸−10
SPMSRTLS	4999	3489	5629	8.74	0.1833147𝐸−08	0.90139𝐸−05	0.96204𝐸−10
TOINTGSS	5000	91	132	0.11	0.1000400𝐸+02	0.76757𝐸−05	0.60378𝐸−10
VARDIM	200	1	2	0.00	0.1479114𝐸−30	0.44409𝐸−15	0.59165𝐸−30
VAREIGVL	50	67	106	0.00	0.1042896𝐸−10	0.38234𝐸−05	0.87845𝐸−10
EG2	1000	4	5	0.00	−0.9989474𝐸+03	0.13514𝐸−05	0.18263𝐸−11
MOREBV	5000	172	279	0.22	0.1462269𝐸−08	0.42417𝐸−05	0.88342𝐸−10
TOINTGOR	50	1432	2303	0.02	0.1373905𝐸+04	0.49818𝐸−05	0.88106𝐸−10
TOINTQOR	50	247	376	0.00	0.1175472𝐸+04	0.55492𝐸−05	0.88045𝐸−10