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Econometrics
Volume 9
Issue 2
10.3390/econometrics9020018
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Article

Multidimensional Arrays, Indices and Kronecker Products

by
D. Stephen G. Pollock
Department of Economics, University of Leciceter, Leciceter LE1 7RH, UK
Econometrics 2021, 9(2), 18; https://doi.org/10.3390/econometrics9020018
Submission received: 18 November 2020 / Revised: 30 March 2021 / Accepted: 27 April 2021 / Published: 28 April 2021
Versions Notes

Abstract

Much of the algebra that is associated with the Kronecker product of matrices has been rendered in the conventional notation of matrix algebra, which conceals the essential structures of the objects of the analysis. This makes it difficult to establish even the most salient of the results. The problems can be greatly alleviated by adopting an orderly index notation that reveals these structures. This claim is demonstrated by considering a problem that several authors have already addressed without producing a widely accepted solution.
Keywords: multilinear algebra; Kronecker products; tensor products; index notation multilinear algebra; Kronecker products; tensor products; index notation

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MDPI and ACS Style

Pollock, D.S.G. Multidimensional Arrays, Indices and Kronecker Products. Econometrics 2021, 9, 18. https://doi.org/10.3390/econometrics9020018

AMA Style

Pollock DSG. Multidimensional Arrays, Indices and Kronecker Products. Econometrics. 2021; 9(2):18. https://doi.org/10.3390/econometrics9020018

Chicago/Turabian Style

Pollock, D. Stephen G. 2021. "Multidimensional Arrays, Indices and Kronecker Products" Econometrics 9, no. 2: 18. https://doi.org/10.3390/econometrics9020018

APA Style

Pollock, D. S. G. (2021). Multidimensional Arrays, Indices and Kronecker Products. Econometrics, 9(2), 18. https://doi.org/10.3390/econometrics9020018

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