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About: Khatri–Rao product     Goto   Sponge   NotDistinct   Permalink

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In mathematics, the Khatri–Rao product of matrices defined as in which the ij-th block is the mipi × njqj sized Kronecker product of the corresponding blocks of A and B, assuming the number of row and column partitions of both matrices is equal. The size of the product is then (Σi mipi) × (Σj njqj). For example, if A and B both are 2 × 2 partitioned matrices e.g.: we obtain: This is a submatrix of the Tracy–Singh productof the two matrices (each partition in this example is a partition in a corner of the Tracy–Singh product) and also may be called the block Kronecker product.