Jacobi Matrix Eine Matrix mit allen partiellen Ableitungen jeder Komponentenfunktion. Jf(a)=(df1dx1(a)df1dx2(a)⋯df1dxn(a)⋮⋮⋱⋮dfmdx1(a)dfmdx2(a)⋯dfmdxn(a))J_{f}(a)=\left(\begin{array}{cccc} \frac{d f_{1}}{d x_{1}}(a) & \frac{d f_{1}}{d x_{2}}(a) & \cdots & \frac{d f_{1}}{d x_{n}}(a) \\ \vdots & \vdots & \ddots & \vdots \\ \frac{d f_{m}}{d x_{1}}(a) & \frac{d f_{m}}{d x_{2}}(a) & \cdots & \frac{d f_{m}}{d x_{n}}(a) \end{array}\right)Jf(a)=dx1df1(a)⋮dx1dfm(a)dx2df1(a)⋮dx2dfm(a)⋯⋱⋯dxndf1(a)⋮dxndfm(a)