Kronecker Square Roots and The Block vec Matrix
classification
🧮 math.GM
keywords
matrixkroneckerblockproductsquarealgorithmicconditionconsequence
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Using the block vec matrix, I give a necessary and sufficient condition for factorization of a matrix into the Kronecker product of two other matrices. As a consequence, I obtain an elementary algorithmic procedure to decide whether a matrix has a square root for the Kronecker product.
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