Test functions for optimization: Difference between revisions

Revision as of 19:18, 22 January 2013

Revision as of 19:24, 22 January 2013

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|| <math>f(x_{1}, \dots, x_{n}) = f(0, \dots, 0) = 0</math>

|| <math>-\infty \le x_{i} \le \infty</math>, <math>1 \le i \le n</math>

|| [[File:Sphere function in 3D.pdf|300px|thumb||Sphere function for n=32]]

|-

| [[Rosenbrock function]]

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</math>

|| <math>-\infty \le x_{i} \le \infty</math>, <math>1 \le i \le n</math>

|| [[File:Rosenbrock's function in 3D.pdf|300px|thumb||Rosenbrock's function for n=32]]

|-

| Beale's function

|| <math>f(x,y) = \left( 1.5 - x + xy \right)^{2} + \left( 2.25 - x + xy^{2}\right)^{2} + \left(2.625 - x+ xy^{3}\right)^{2}.\quad</math>

|| <math>f(3, 0.5) = 0</math>

|| <math>-4.5 \le x,y \le 4.5</math>

|| [[File:Beale's function.pdf|300px|thumb||Beale's function]]

|}