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Rosenbrock Function


RosenbrockFunction

The function

 f(x,y)=(1-x)^2+100(y-x^2)^2

that is often used as a test problem for optimization algorithms (where a variation with 100 replaced by 105 is sometimes used; Germundsson 2000). It has a global minimum of 0 at the point (1, 1).


See also

Griewank Function

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References

Germundsson, R. "Mathematica Version 4." Mathematica J. 7, 497-524, 2000.Rosenbrock, H. H. "An Automatic Method for Finding the Greatest or Least Value of a Function." Computer J. 3, 175-184, 1960.

Referenced on Wolfram|Alpha

Rosenbrock Function

Cite this as:

Weisstein, Eric W. "Rosenbrock Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RosenbrockFunction.html

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