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Block Kronecker products and the vecb operator. (English) Zbl 0722.15031

This paper is concerned with two generalizations of the Kronecker product and two related generalizations of the vecb operator. The authors define a less restricted generalized Kronecker product AB of two matrices A and B. Whereas the product studied before is based on the partitioning of both matrices A and B, they presuppose in this paper a partition of B only. Researchers can partition A according to their needs and wishes.

In Section 1 the authors discuss the case of balanced partitioning. In Section 2 they elaborate the general case of unbalanced partitioning. Finally, in Section 3 they apply some of the techniques discussed.

MSC:
15A69Multilinear algebra, tensor products
15A30Algebraic systems of matrices