A Nonmonotone Adaptive Trust Region Method Based on Conic Model for Unconstrained Optimization

Table 1

Numerical comparisons.

Problems	QTR	CTR	NAQTR	MACTR	NACTR
	𝑁𝑖/𝑁𝑓	𝑁𝑖/𝑁𝑓	𝑁𝑖/𝑁𝑓	𝑁𝑖/𝑁𝑓	𝑁𝑖/𝑁𝑓
Helical Valley	62/74	43/53	56/61	32/45	29/42
Gaussian	7/12	3/8	3/5	3/5	3/5
Box 3-D	41/45	33/37	36/41	30/35	30/33
Var. Dimen.	17/26	11/11	18/27	12/18	13/21
Waston	72/78	66/73	62/81	54/98	48/86
Penalty I	18/21	16/17	18/24	15/20	15/18
Penalty II	21/26	21/24	23/31	17/26	16/25
Brown-Dennis	62/66	78/84	62/75	55/67	53/58
Gulf R.D.	88/83	96/98	66/46	38/42	46/47
Trigonometric	46/52	38/39	45/48	32/39	34/36
Ex. Ros.	91/124	Failed	48/62	33/46	35/48