Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I can think of a visual example s.t. f in $\mathbf C^2$ ($\mathbf R^2$) has a single local minimum stationary point that is not a global minimum but I can't give it a concrete equation... If anyone can think of a better example (i.e. one with a simpler equation) that would be even better! Thanks. My example

share|improve this question
    
Oops, I have left out the y-axis in the sketch, but it is obvious where it should be... –  Brooke Knight Jul 27 '11 at 15:15
add comment

1 Answer 1

up vote 3 down vote accepted

How about just subtracting a Gaussian from an exponential, e.g.

$$f(x) = e^y - \frac 3 4 e^{-x^2-y^2}$$

share|improve this answer
    
Of course, silly me. Thanks! –  Brooke Knight Jul 27 '11 at 15:31
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.