One-Dimensional Convex Conjugate Demo

Edit f(x) and move y. The left plot shows f together with the supporting line x ↦ yx - f*(y); the right plot shows the numerically computed graph of f* on a finite window.

Preset family

Convex function f(x)

Dual coordinate y 1.20

Search / plot radius R 4.0

Use syntax such as x^2, abs(x), x log(x), exp(x), x^4/4, or x^2 + 0.4*abs(x).

Primal graph: `f(x)=x^2`

Conjugate graph: `f*(y)`

Primal graph: f(x)=x^2

Conjugate graph: f*(y)

Primal graph: `f(x)=x^2`

Conjugate graph: `f*(y)`