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Kronecker products and shuffle algebra

IEEE Transactions on Computers, 1981
Summary: 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 ...
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Fast Transformation and Kronecker Products

1984
While on the subject of fast computational algorithms based on the Chinese Remainder Theorem and primitive roots (discussed in the preceding chapter), we will now take time out for a glance at another basic principle of fast computation: decomposition into direct or Kronecker products.
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Equivalence of a matrix product to the Kronecker product.

2000
The authors give an interesting proof of the permutation equivalence of the Tracy-Singh product for partitioned matrices[\textit{D. S. Tracy} and \textit{R. P. Singh}, Stat. Neerl. 26, 143--157 (1972; Zbl 0267.15009); \textit{S. Liu}, Linear Algebra Appl. 289, No. 1-3, 267--277 (1999; Zbl 0937.15015)] to the Kronecker product.
Wei, Yimin, Zhang, Fuzhen
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Kronecker product

2012
The Kronecker product is a classical and an extremely convenient tool in multivariate analysis. We briefly define this product, and describe some of its main algebraic properties. We also briefly review the role of Kronecker products in the traditional assumption of separability of covariance functions in spatiotemporal models.
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Kronecker Product

2021
J. Vasundhara Devi   +2 more
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Compressing RNNs to Kilobyte Budget for IoT Devices Using Kronecker Products

ACM Journal on Emerging Technologies in Computing Systems, 2021
Urmish Thakker
exaly  

Algorithm 993

ACM Transactions on Mathematical Software, 2019
Paul L Fackler
exaly  

Kronecker Products in ANOVA—A First Step

American Statistician, 1984
Gerald S Rogers
exaly  

Super connectivity of Kronecker products of graphs

Information Processing Letters, 2010
Chengfu Qin, Litao Guo
exaly  

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