Jacobi matrix——A gradient description method for vector equations

1 Introduction

Jacobi matrix (Jacobi matrix) is a gradient description of vector equations;

2 Objects described by Jacobian matrix-vector mapping function $\mathbf{f}$

First let's take a look at the definition of the Jacobian matrix (from Wikipedia):

You can see that the object described by the Jacobian matrix is ​​the vector $\mathbb{R}^n$ maps to $\mathbb{R}^m$a function of${}^m$ $\mathbf{f}$；