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KRON matrix function


KRON(A,B) Returns the Kronecker tensor product of matrices A and B.

If A is an m × n matrix and B is a p × q matrix, then the Kronecker tensor product of A and B is a mp × nq matrix formed by multiplying each element of A with matrix B.

$$ \mathbf{A}\otimes\mathbf{B} = \begin{bmatrix} a_{11} \mathbf{B} & \cdots & a_{1n}\mathbf{B} \\ \vdots & \ddots & \vdots \\ a_{m1} \mathbf{B} & \cdots & a_{mn} \mathbf{B} \end{bmatrix} $$


KRON(  ,  

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Matrix Algebra Useful for Statistics
Shayle R. Searle, Andre I. Khuri

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This book addresses matrix algebra that is useful in the statistical analysis of data as well as within statistics as a whole. The material is presented in an explanatory style rather than a formal theorem-proof format and is self-contained.