If you know the standard English meaning of the words convex and concave, you can remember that for a convex function it is the epigraph that is convex, and for a concave function it is the …

Concave (inward-curved) lenses are the opposite of convex lenses, so there is a pre-existing word for "not convex" or "convex in the opposite direction". Convex has an absolutely entrenched …

May 14, 2018 · So, is there a way to distinguish convexity and strict convexity just by visual inspection of the graph of a function? And, if so, how? What can be the specific characteristic …

Mar 27, 2017 · Are all quadratic functions convex and vice versa or are quadratic functions just one type of convex function? If so, could someone please provide examples of functions that …

but the inverse of $-x^3$ is concave in the second quadrant. Does the result you mentioned only work for functions which are convex throughout?

Is taking the inverse of a matrix a convex operation? Ask Question Asked 12 years, 3 months ago Modified 10 months ago

Mar 8, 2022 · It is true that the exponential function is convex and quasi-concave. It is also quasi-convex. There is no contradiction.

Jan 11, 2018 · 0 I have a simple question because I want to optimize an objective function which is non-linear and convex but is limited by 3 non-linear constraints, two of them are convex but …

PREVIOUS ANSWER: For any twice differentiable function, it is strictly convex if and only if, the Hessian matrix is positive definite. You can find it from any standard textbook on convex …

Jun 14, 2014 · 9 Convex optimization involves minimizing a convex objective function (or maximizing a concave objective function) over a convex set of constraints. Linear …