Issue No. 02 - Feb. (1981 vol. 30)
ISSN: 0018-9340
pp: 116-125
Marc Davio , Philips Research Laboratory, Brussels, Belgium
ABSTRACT
The paper relates three classical concepts, viz. mixed radix number system, Kronecker product of matrices, and perfect shuffle. It presents an algebra which describes the hardware organization of the computation of a product $m \underline{\underline{\upsilon}}$, where M is a matrix in Kronecker product form and $\underline{\underline{\upsilon}}$ is a vector. The algebraic formalism describes both the blockwise structure of the computation and the various possible connection patterns.
INDEX TERMS
perfect shuffle, Kronecker product of matrices, mixed radix number systems
CITATION
Marc Davio, "Kronecker products and shuffle algebra", IEEE Transactions on Computers, vol. 30, no. , pp. 116-125, Feb. 1981, doi:10.1109/TC.1981.6312174