soobench (version 1.9.18)

generate_goldstein_price_function: Generator for the Goldstein-Price function.

Description

The definition used is

Usage

generate_goldstein_price_function()

Value

A soo_function.

Details

$$f(x) = \left(1 + \left(x_1 + x_2 + 1\right)^2 \left(19 - 14x_1 + 13x_1^2 - 14x_2 + 6x_1x_2 + 3x_2^2\right)\right)\left(30 + \left(2x_1 - 3x_2\right)^2\left(18 - 32x_1 + 12x_1^2 + 48x_2 - 36x_1x_2 + 27x_2^2\right)\right)$$

References

Goldstein, A. A. and Price, I. F. On descent from local minima, Mathematics of Computation 25, 569-574, 1971.

Examples

# NOT RUN {
f <- generate_goldstein_price_function()
plot(f, rank=TRUE)

# }