“Jacobian matrix”的概念、定义、习题解题方法及翻译-数学辞典

单词

Jacobian matrix

释义

Jacobian matrix

For m functions in n variables, fi(x1,x2,…,xn) where 1 ≤ i ≤ m, the Jacobian matrix is the m×n matrix whose element in the i‐th row and j‐th column is the partial derivative $inline$

This Jacobian is denoted $inline$ Jacobians satisfy a chain rule, namely:

when each xi is a function of u1,u2,…,uk. See differential (multivariate), jacobian.

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