Hessian Matrix to analyze the convexity of a Function

Hessian Matrix can be easily used to determine the convexity of a function. Which is great for optimization problems.

A example using 2 variables (x&y) is executed.

variables can be changed in "Syms"

function can be changed in "f "

ref:

1.https://math.libretexts.org/Bookshelves/Analysis/Tasty_Bits_of_Several_Complex_Variables_(Lebl)/02%3A_Convexity_and_Pseudoconvexity/2.02%3A_Tangent_Vectors_the_Hessian_and_Convexity

2. https://www.youtube.com/watch?v=F3YoC5A6Avg&ab_channel=YongWang