What does a pseudoconvex function look like?

Question

A convex function is one where if you draw a secant line, the graph is below that. A quasiconvex function is a function where if you draw a (well larger of two) horizontal line the graph is below that. I know what those look like.

A horizontal line is above a secant line always. Pseudoconvex is between full and quasi.

What does pseudoconvex look like?

score 4 · Accepted Answer · edited Mar 12 '20 at 21:27

4

Here is an example, alongside other types of functions:

Pseudoconvex function is a function that behaves like a convex function with respect to finding its local minima, but need not actually be convex. Informally, a differentiable function is pseudoconvex if it is increasing in any direction where it has a positive directional derivative.

edited Mar 12 '20 at 21:27

Royi

8,711

answered Mar 12 '20 at 16:35

Qqq

255

What does a pseudoconvex function look like?

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