A new filter QP-free method for the nonlinear inequality constrained optimization problem

Journal of Inequalities and Applications

Table 1 Numerical results on the NFQPIM for some constrained optimization problems

Problem	n	m	NIT	NG	NF
hs001	2	1	65	43	40
hs002	2	1	15	19	18
hs003	2	1	3	5	4
hs004	2	2	4	6	5
hs005	2	4	9	11	9
hs006	2	1	5	9	8
hs007	2	1	16	25	21
hs008	2	2	3	6	5
hs009	2	1	10	13	12
hs010	2	1	27	43	33
hs011	2	1	13	23	15
hs012	2	1	13	19	16
hs013	2	1	3	6	4
hs014	2	2	4	7	4
hs015	2	2	7	11	7
hs016	2	5	5	8	7
hs017	2	5	14	19	16
hs018	2	6	20	24	23
hs019	2	6	4	7	6
hs020	2	5	5	8	6
hs021	2	5	4	7	5
hs022	2	2	5	8	5
hs023	2	9	3	4	4
hs024	2	5	7	13	10
hs025	3	6	4	6	6
hs026	3	1	24	33	27
hs027	3	1	28	34	31
hs028	3	1	6	12	9
hs029	3	1	21	37	31
hs030	3	7	9	11	10
hs031	3	7	12	17	14
hs032	3	5	8	14	12
hs033	3	6	11	16	24
hs034	3	8	8	12	10
hs035	3	4	7	11	10
hs036	3	7	10	13	11
hs037	3	8	13	18	15
hs038	4	8	83	111	98
hs039	4	2	21	35	32
hs040	4	3	11	16	14
hs041	4	9	13	17	15
hs042	4	2	11	14	12
hs043	4	3	15	23	20
hs044	4	10	16	23	21
hs045	5	10	5	7	7
hs046	5	10	29	37	33
hs047	5	3	26	33	30
hs048	5	2	10	15	13
hs049	5	2	36	46	40
hs050	5	3	35	43	39
hs051	5	3	9	13	11
hs052	5	3	7	14	12
hs053	5	3	5	7	7
hs054	6	13	9	13	10
hs055	6	14	8	14	11
hs056	7	4	12	14	12
hs057	2	3	6	9	8
hs059	2	7	28	33	30
hs060	3	7	13	23	21
hs061	3	2	59	68	58
hs062	3	7	24	33	28
hs063	3	5	15	23	20
hs064	3	4	36	43	37
hs065	3	7	21	29	27
hs066	3	8	13	23	19
hs067	3	41	65	53	47
hs099	7	16	65	43	40
hs100	7	4	65	43	40
hs101	7	20	65	43	40
hs102	7	20	65	43	40
hs103	7	20	65	43	40
hs104	8	22	65	43	40
hs105	8	17	65	43	40
hs106	8	22	65	43	40
hs107	9	14	65	43	40
hs108	9	14	33	30
hs110	10	20	25	43	40
hs111	10	23	61	73	68
hs112	10	13	51	73	67
hs113	10	8	55	65	61
hs114	10	31	56	73	68
hs116	13	41	123	143	140
hs117	15	20	511	63	60
hs118	15	59	67	81	77
hs119	16	40	68	83	78