# Hessian Matrix

> Source: https://sukruyusufkaya.com/en/glossary/hessian-matrisi
> Updated: 2026-05-13T21:07:29.724Z
> Type: glossary
> Category: matematik-istatistik-optimizasyon
**TLDR:** A matrix of second-order derivatives that helps describe the curvature of a function.

<p>The Hessian matrix helps us understand not only the slope of a function, but also its curvature. In other words, it reveals whether the surface is sharp, flat, or geometrically complex by using second-order derivatives. It is used in advanced optimization methods, stability analysis, and in studying local minima and maxima. Although it can be computationally expensive in large models, it is theoretically a powerful tool for understanding optimization surfaces. The Hessian exposes the deeper geometric structure of model behavior.</p>