Estimate the minimum point given any function

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May 2013-10-11

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https://ww2.mathworks.cn/matlabcentral/answers/89927-estimate-the-minimum-point-given-any-function

回答： Matt J 2013-10-11

Dear all, would like to get your help on this question!

Given any function input as a m-file,

(For example

function y = f(x)

% This is an continuous function defined on [1,2]

% where you are required to find the minimum.

y= cos(x)^2;

end )

How would you estimate the minimum point such that the estimate is within the error tolerance of 0.01?

I was thinking along this.. I can calculate the real exact value of the minimum point, but I need to use a method to estimate the minimum point so that the error between the real and the estimate is less than 0.01. But not sure what method I need to use to estimate the minimum point.

So far, Ive learnt bisection method, newton mtd, secant method in school.

THANK YOU

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Answer 1

A Jenkins 2013-10-11

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/89927-estimate-the-minimum-point-given-any-function#answer_99368

FMINBND Single-variable bounded nonlinear function minimization.

X = FMINBND(FUN,x1,x2) attempts to find a local minimizer X of the function FUN in the interval x1 < X < x2. FUN is a function handle. FUN accepts scalar input X and returns a scalar function value F evaluated at X.

http://www.mathworks.com/help/optim/ug/fminbnd.html

Unless your professor wants you to write your own...