3
$\begingroup$

Usually Jacobian matrix encapsulate partial derivatives of a vector f w.r.t. another vector v.

More generally how to define/get the Jacobian matrix of a matrix F w.r.t another matrix V?

Is it just taking the elements of F and V and arranging them as vectors and getting the usual Jacobian matrix of 2 vectors?

1 Answers 1

3

The Jacobian is defined for a real function depending on a vector. You can replace the vector by a matrix by considering the matrix as a vector, or by using a four-dimensional tensor instead of a two-dimensional matrix.

  • 1
    thanks. Regar$d$ing the second option do you know any good online reference.2011-01-15