CONTOUR PLOT ROSENBROCK FUNCTION MATLAB

With your code, I’m getting this error while calling reshape function. Mathematica Stack Exchange works best with JavaScript enabled. This reduces the possibility of mistakes being made in the final version and really helps with the learning process. Szabolcs Szabolcs k 14 If you have, could you share that? Why not share the loopy code that works for you, then we can vectorize it?

Stack Overflow works best with JavaScript enabled. The example [2] explained how Chebfun computed these results: Why not share the loopy code that works for you, then we can vectorize it? Power functions are often useful for this. Compare the two figures. By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service. Sign up or log in Sign up using Google. Since this function is built from squares, a power of 0.

A value smaller than this makes them denser around the minimum.

The following computation is much faster than before. Stack Overflow works best with JavaScript enabled. Post Your Answer Discard By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies.

Sign up or log in Sign up using Google. KarenJohnson Well, I am not using reshape. The example [2] explained how Chebfun computed these results: Thanks for the nice package you have written! In fact, since Chebfun2 is really working with a 2D representation, we can investigate more deeply.

This reduces the possibility of mistakes being made in the final version and really helps with the learning process.

Chebfun2 uses a different algorithm for locating maxima and minima, and so splitting is not required in this case. While looking at the documentation for FindMinimum I found an example that pretty much solved the problem for me.

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Email Required, but never shown. Post as a guest Name. In the back of my mind I thought that I might also be able to make a nice Wolfram Demonstration from the investigation. Email Required, but never shown. E-Mail will not be published.

The Rosenbrock function in 2D optimisation

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The Rosenbrock function in 2D optimisation (revisited) » Chebfun

It turns out that this is obvious — just use the option. I have just changed the rosenbrock function paste.

April 9th, Categories: There is a Mathematica function called FindMinimum that can handle this funvtion of optimization problem and I wondered how its methods would handle the Rosenbrock function.

Compare the two figures. Mathematica uses equi-spaced contours according to the function value by default. Thanks for the comments. Plor Your Answer Discard By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies.

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One of the things I like about the process of submitting demonstrations to the project is that they are refereed. With your code, I’m getting this error while calling reshape function. Sign up or log in Sign up using Google. Can any body help. By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service.

I just add the code. Why not share the loopy code that works for you, then we can vectorize it? By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject contoir these policies. All that remained was to matlxb this up in a Manipulate statement, make it look pretty, add some controls and submit it to the demonstrations project.

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KarenJohnson Is the linked loopy code the one applicable in your case? Notify me of follow-up comments by email. With loop it can be easily done, but with vectorization I’m getting wrong results. To make the contours denser instead of less dense towards the minimum, you either need to explicitly set a list of Contoursor use a monotonic transformation on the function values.

So why is this innocuous looking function so difficult to minimise?

The vectorized version of rosenbrock function would be. By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. One of the very first Chebfun examples [2] demonstrated how standard 1D Chebfun can do a reasonable job of functioon or maximizing a function defined on a 2D rectangle, such as the Rosenbrock function [1]:.

Home Questions Tags Users Unanswered. You need to specify explicit values in Contours. Rosenbrock, “An automatic method for finding the greatest or least value of a function”, Computer Journal3 How can I fynction Mathematica to depict this? The only other piece of information needed was to find out how to specify the solution method.