Jacobian of a Matrix

Question

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?

score 3 · Accepted Answer · answered Jan 14 '11 at 23:50

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.

answered Jan 14 '11 at 23:50

Yuval Filmus

57,953

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thanks. Regarding the second option do you know any good online reference. – 911 Jan 15 '11 at 00:50

Jacobian of a Matrix

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