An Efficient Hybrid Conjugate Gradient Method with the Strong Wolfe-Powell Line Search

Table 1

A list of problem functions used with the SWP condition with and .

Number	Function	Dimension/s	Initial points
1	Extended White & Holst function [23]	500, 1000, 5000, 10000	(−1.2, 1, −1.2, 1, …, −1.2, 1), (5, 5, …, 5), (10, 10, …, 10), (15, 15, …, 15)
2	Extended Rosenbrock function [24]	500, 1000, 5000, 10000	(−1.2, 1, −1.2, 1, …, −1.2, 1), (5, 5, …, 5), (10, 10, …, 10), (15, 15, …, 15)
3	Six-hump function [25]	2	(1, 1), (5, 5), (10, 10), (15, 15)
4	Extended Beale function [23]	500, 1000, 5000, 10000	(−1, −1, …, −1), (0.5, 0.5,..., 0.5), (10, 10, …, 10), (1, 1, …, 1)
5	Three-hump function [25]	2	(1, 1), (5, 5), (10, 10), (15, 15)
6	Extended Himmelblau function [23]	500, 1000, 5000, 10000	(1, 1, …, 1), (5, 5, …, 5), (10, 10, …, 10), (15, 15, …, 15)
7	Diagonal 2 function [23]	500, 1000, 5000, 10000	(0.2, 0.2, …, 0.2), (0.25, 0.25, …, 0.25), (0.5, 0.5, …, 0.5), (1, 1, …, 1)
8	NONSCOMP function [24]	500, 1000, 5000, 10000	(1, 1, …, 1), (−1, −1, …, −1), (−2, −2, …, −2), (−5, −5, …, −5)
9	Extended DENSCHNB function [24]	500, 1000, 5000, 10000	(1, 1, …, 1), (5, 5, …, 5), (10, 10, …, 10), (15, 15, …, 15)
10	Booth function [25]	2	(1, 1), (5, 5), (10, 10), (15, 15)
11	Extended quadratic penalty function QP2 [24]	100, 200, 300, 400	(2, 2, …, 2), (5, 5, …, 5), (10, 10, …, 10), (15, 15, …, 15)
12	DIXMAANA function [24]	1500, 3000, 6000, 9000	(1, 1, …, 1), (2, 2, …, 2), (3, 3, …, 3), (5, 5, …, 5)
13	DIXMAANB function [24]	1500, 3000, 6000, 9000	(1, 1, …, 1), (2, 2, …, 2), (3, 3, …, 3), (5, 5, …, 5)
14	DIXMAANC function [24]	1500, 3000, 6000, 9000	(1, 1, …, 1), (2, 2, …, 2), (3, 3, …, 3), (5, 5, …, 5)
15	DIXMAAND function [24]	1500, 3000, 6000, 9000	(1, 1, …, 1), (2, 2, …, 2), (3, 3, …, 3), (5, 5, …, 5)
16	DIXMAANE function [24]	1500, 3000, 6000, 9000	(1, 1, …, 1), (2, 2, …, 2), (3, 3, …, 3), (5, 5, …, 5)
17	DIXMAANF function [24]	1500, 3000, 6000, 9000	(1, 1, …, 1), (2, 2, …, 2), (3, 3, …, 3), (5, 5, …, 5)
18	DIXMAANG function [24]	1500, 3000, 6000, 9000	(1, 1, …, 1), (2, 2, …, 2), (3, 3, …, 3), (5, 5, …, 5)
19	NONDIA function [24]	500, 1000, 5000, 10000	(−2, −2, …, −2), (−1, −1, …, −1), (0, 0, …, 0), (1, 1, …, 1)
20	Extended Tridiagonal 1 function [24]	500, 1000, 5000, 10000	(1, 1, …, 1), (5, 5, …, 5), (10, 10, …, 10), (15, 15, …, 15)
21	DQDRTIC function [24]	500, 1000, 5000, 10000	(−1, −1, …, −1), (1, 1, …, 1), (2, 2, …, 2), (3, 3, …, 3)
22	Diagonal 4 function [24]	500, 1000, 5000, 10000	(1, 1, …, 1), (5, 5, …, 5), (10, 10, …, 10), (15, 15, …, 15)
23	DQDRTIC function [24]	10, 20, 30, 40	(1, 1, …, 1), (−1, −1, …, −1), (1, 1, …, 1), (2, 2, …, 2)
24	Extended Cliff function [24]	100, 200, 300, 400	(1, 1, …, 1), (5, 5, …, 5), (10, 10, …, 10), (15, 15, …, 15)