雅可比（Jacobi）矩阵、海塞（Hessan）矩阵July 23, 2023 · 3 min readPuQingAI, CVer, Pythoner, Half-stack Developer一、雅可比（Jacobi）矩阵 对于 nnn 个变元的 mmm 个函数 y1=f1(x1,x2,⋯ ,xn),y2=f2(x1,x2,⋯ ,xn),⋯⋯⋯⋯⋯⋯⋯ym=fm(x1,x2,⋯ ,xn),}\left.\begin{array}{l} y_{1}=f_{1}\left(x_{1}, x_{2}, \cdots, x_{n}\right), \\ y_{2}=f_{2}\left(x_{1}, x_{2}, \cdots, x_{n}\right), \\ \cdots \cdots \cdots \cdots \cdots \cdots \cdots \\ y_{m}=f_{m}\left(x_{1}, x_{2}, \cdots, x_{n}\right), \end{array}\right\}y1=f1(x1,x2,⋯,xn),y2=f2(x1,x2,⋯,xn),⋯⋯⋯⋯⋯⋯⋯ym=fm(x1,x2,⋯,xn),⎭⎬⎫ 它定于于某一 nnn 维区域 D\mathcal{D}D 中，并且在这一区域中有关于一切变元的连续偏导数
