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.

Let f(x) be strongly-convex. Can its minimizer be unbounded? I suspect not. Can we obtain a bound on it in relation to the strong-convexity constant?

I believe an equivalent formulation of this question is: Is the minimizer, $x^\star$, of a strongly-convex function, $f(x)$, in a compact or bounded subset of $\mathbb{R}^n$?

Thank you!

share|improve this question

Your Answer

 
discard

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

Browse other questions tagged or ask your own question.