Can AA' = (wDD'w)(wDD'w) be written as a Kronecker product?

[Shurid]

Hi everyone,

Please help me with this problem.

Suppose w be a n x n symmetric matrix and D be n x m matrix.

Let A=wDD`w.

Is it possible to write the matrix, AA`= (wDD`w)(wDD`w) as the kronecker product of any two matrices?

Thanks in advance.

 

[arkajad]

Every matrix B is a Kronecker product $X\otimes Y$, where X=B and Y is 1x1 identity matrix.

 

[Shurid]

Thanks a lot Arkazad. You are right. However, what I want is to multiply

(A kronecker product B) by (AA`), where B is also a n x n matrix. You observe that this is not even defined. I don't know may be this is impossible, because I can not change the dimension of AA`.

Any further idea?