Equal Angle Distribution of Polling Directions in Direct-Search Methods

Table 1

List of test problems where S: smooth, N: nonsmooth, and C: constrained.

Function	𝑛	type
Brown almost-linear [15]	15,40,55	S
Discrete boundary value [15]	10,30,60	S
Discretized variational problem [16]	15,55	S
Extended Rosenbrock [15]	20,40,60	S
Penalty 1 [15]	30,55	S
Trigonometric [15]	35,45	S
Watson [15]	10,25	S
Chained CB3 I [17]	25,40,50	N
Chained Cragg and Levy [16]	20,40,56	N
Chained crescent II [17]	26,34,60	N
Chained Mifflin 2 [17]	15,30,55	N
Generalized Broyden tridiagonal [16]	25,35,50	N
MXHILB [17]	20,40,50	N
Number of active faces [17]	20,35,50	N
Polak 2 [18]	10	N
Schwefel [19]	15,30,45	N
Sparse signomial [16]	20,40,60	N
Watson [18]	15,25,30	N
Wong 3 [18]	20	N
Brown with tridiagonal II [17]	16,34,56	C
Crescent with tridiagonal II [17]	30,44,56	C
Hypersphere problem [2]	15,40,60	C
MAD 8 [18]	20	C
Mifflin 2 with P20 II [17]	15,35,50	C
Number of active faces with P20 I [17]	20,35,55	C
Problem 7.29 [20]	30,45,55	C
Wong 3 [18]	20	C
Broyden tridiagonal [15]	20,50	S
Discrete integral equation [15]	20,35,50	S
Extended Powell singular [15]	16,32,44	S
Generalized Brown function I [16]	24,40	S
Penalty 2 [15]	10,35,50	S
Variably dimensioned [15]	24,45,60	S
Ackley [19]	25,45,60	N
Chained CB3 II [17]	10,45,60	N
Chained crescent I [17]	30,44	N
Chained LQ [17]	15,35,50	N
Generalized Broyden banded [16]	30,45,55	N
Generalized Maxq [17]	30,46,54	N
N generalized Brown [17]	26,40,60	N
Osborne 2 [18]	11	N
Polak 3 [18]	11	N
Shell dual [18]	15	N
Steiner 2 [18]	12	N
Wong 2 [18]	10	N
Yang [19]	34,56,60	N
CB3 with MAD1 I [17]	25,40,50	C
HS114 [18]	9	C
LQ with MAD1 I [17]	25,40,50	C
Maxq with MAD1 II [17]	10,30,50	C
MXHILB with P20 II [17]	20,45,60	C
Problem 7.26 [20]	16,24,60	C
Wong 2 [18]	10	C