“Griewank function”的意思、由来-开放百科全书

词条

Griewank function

释义

First-order Griewank function
Second-order Griewank function
Third order Griewank function
References

In mathematics, the Griewank function is often used in testing of optimization, it is defined as follow^[1]

The following paragraphs display the special cases of first, second and third order

Griewank function, and their plots.

First-order Griewank function

First order Griewank function has multiple maxima and minima.^[2]

Let the derivative of Griewank function be zero：

Find its roots in the interval [−100..100] by means of numerical method,

In the interval [−10000,10000], the Griewank function has 6365 critical points.

Second-order Griewank function

Third order Griewank function

References

1. ^Griewank, A. O. "Generalized Decent for Global Optimization." J. Opt. Th. Appl. 34, 11–39, 1981
2. ^Locatelli, M. "A Note on the Griewank Test Function." J. Global Opt. 25, 169–174, 2003

1 : Special functions

随便看

开放百科全书收录14589846条英语、德语、日语等多语种百科知识，基本涵盖了大多数领域的百科知识，是一部内容自由、开放的电子版国际百科全书。