Projected Adaptive Cubic Regularization Algorithm with Derivative-Free Filter Technique for Box Constrained Optimization

Table 1

The information of test problems.

Problems	n	l	u
HS05	2	[−1.5, −3]	[4, 3]
HS18	2	[2, 0]	[50, 50]
HS19	2	[13, 0]	[100, 100]
HS21	2	[2, −50]	[50, 50]
HS23	3	[−50, −50]	[50, 50]
HS30	3	[1, −10, −10]	[10, 10, 10]
HS31	3	[−10, 1, −10]	[10, 10, 1]
HS34	3	[0, 0, 0]	[100, 100, 100]
HS36	3	[0, 0, 0]	[20, 11, 42]
HS37	3	[0, 0, 0]	[42, 42, 42]
HS38	4	[−10, −10, −10, −10]	[10, 10, 10, 10]
HS41	4	[0, 0, 0, 0]	[1, 1, 1, 2]
HS45	5	[0, 0, 0, 0, 0]	[1, 2, 3, 4, 5]
HS53	5	[−10, …, −10]	[10, …, 10]
HS59	2	[0, 0]	[75, 65]
HS60	3	[−10, −10, −10]	[10, 10, 10]
HS62	3	[0, 0, 0]	[1, 1, 1]
HS65	3	[−5, −5, −5]	[5, 5, 5]
HS66	3	[0, 0, 0]	[100, 100, 1]
HS68	4	[0.0001, 0, 0, 0]	[100, 100, 2, 2]
HS71	4	[1, 1, 1, 1]	[5, 5, 5, 5]
HS80	5	[−2.3, −2.3, −3.2, −3.2, −3.2]	[2.3, 2.3, 3.2, 3.2, 3.2]
HS83	5	[78, 33, 27, 27, 27]	[102, 45, 45, 45, 45]
HS110	10	[2.001, …, 2.001]	[9.999, …, 9.999]