Global Convergence of a Modified Two-Parameter Scaled BFGS Method with Yuan-Wei-Lu Line Search for Unconstrained Optimization

Table 1

The test problems.

No.	Test problem
1	Extended Freudenstein and Roth function
2	Extended trigonometric function
3	Extended Rosenbrock function
4	Extended White and Holst function
5	Extended Beale function
6	Extended penalty function
7	Perturbed quadratic function
8	Raydan 1 function
9	Raydan 2 function
10	Diagonal 1 function
11	Diagonal 2 function
12	Diagonal 3 function
13	Hager function
14	Generalized tridiagonal 1 function
15	Extended tridiagonal 1 function
16	Extended three exponential terms function
17	Generalized tridiagonal 2 function
18	Diagonal 4 function
19	Diagonal 5 function
20	Extended Himmelblau function
21	Generalized PSC1 function
22	Extended PSC1 function
23	Extended Powell function
24	Extended block diagonal BD1 function
25	Extended Maratos function
26	Extended Cliff function
27	Quadratic diagonal perturbed function
28	Extended Wood function
29	Extended Hiebert function
30	Quadratic function QF1 function
31	Extended quadratic penalty QP1 function
32	Extended quadratic penalty QP2 function
33	A quadratic function QF2 function
34	Extended EP1 function
35	Extended tridiagonal 2 function
36	BDQRTIC function (CUTE)
37	TRIDIA function (CUTE)
38	ARWHEAD function (CUTE)
39	NONDIA function (CUTE)
40	NONDQUAR function (CUTE)
41	DQDRTIC function (CUTE)
42	EG2 function (CUTE)
43	DIXMAANA function (CUTE)
44	DIXMAANB function (CUTE)
45	DIXMAANC function (CUTE)
46	DIXMAANE function (CUTE)
47	Partial perturbed quadratic function
48	Broyden tridiagonal function
49	Almost perturbed quadratic function
50	Tridiagonal perturbed quadratic function
51	EDENSCH function (CUTE)
52	VARDIM function (CUTE)
53	STAIRCASE S1 function
54	LIARWHD function (CUTE)
55	DIAGONAL 6 function
56	DIXON3DQ function (CUTE)
57	DIXMAANF function (CUTE)
58	DIXMAANG function (CUTE)
59	DIXMAANH function (CUTE)
60	DIXMAANI function (CUTE)
61	DIXMAANJ function (CUTE)
62	DIXMAANK function (CUTE)
63	DIXMAANL function (CUTE)
64	DIXMAAND function (CUTE)
65	ENGVAL1 function (CUTE)
66	FLETCHCR function (CUTE)
67	COSINE function (CUTE)
68	Extended DENSCHNB function (CUTE)
69	Extended DENSCHNF function (CUTE)
70	SINQUAD function (CUTE)
71	BIGGSB1 function (CUTE)
72	Partial perturbed quadratic PPQ2 function
73	Scaled quadratic SQ1 function
74	Scaled quadratic SQ2 function