The Hybrid BFGS-CG Method in Solving Unconstrained Optimization Problems

Table 1

A list of problem functions.

Test problem	𝑛-dimensional	Sources
Powell badly scaled	2	Moré et al. [20]
Beale	2	Moré et al. [20]
Biggs Exp 6	6	Moré et al. [20]
Chebyquad	4, 6	Moré et al. [20]
Colville polynomial	4	Michalewicz [19]
Variably dimensioned	4, 8	Moré et al. [20]
Freudenstein and Roth	2	Moré et al. [20]
Goldstein price polynomial	2	Michalewicz [19]
Himmelblau	2	Andrei [18]
Penalty 1	2, 4	Moré et al. [20]
Extended Powell singular	4, 8	Moré et al. [20]
Extended Rosenbrock	2, 10, 100, 200, 500, 1000	Andrei [18]
Trigonometric	6	Andrei [18]
Watson	4, 8	Moré et al. [20]
Six-hump camel back polynomial	2	Michalewicz [19]
Extended shallow	2, 4, 10, 100, 200, 500, 1000	Andrei [18]
Extended strait	2, 4, 10, 100, 200, 500, 1000	Andrei [18]
Scale	2	Michalewicz [19]
Raydan 1	2, 4	Andrei [18]
Raydan 2	2, 4	Andrei [18]
Diagonal 3	2	Andrei [18]
Cube	2, 10, 100, 200	Moré et al. [20]