Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Let $\vec g(\vec x)\in\mathbb R^N$ be the gradient of a convex function $L: \mathbb R^N\mapsto \mathbb R$ and $\vec h(\vec x)$ such that $$ \vec h(\vec x)^T\vec g(\vec x) \geq 0\quad\quad \forall \vec x\in\mathbb R^N. $$ Than, under weak conditions, a gradient ascent in direction $\vec h$ will lead to the maximum of $L$.

Question: What is the correct mathematical expression or "buzzword" for $\vec h$? "Quasigradient"? "Approximate gradient"? The concept is so trivial yet I can't figure out the appropriate name.


share|cite|improve this question
"an ascending direction"? – Hagen von Eitzen May 2 '13 at 22:13

Your Answer


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

Browse other questions tagged or ask your own question.