Multidimensional Arrays, Indices and Kronecker Products

D. Stephen G. Pollock
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D. Stephen G. Pollock: Department of Economics, University of Leciceter, Leciceter LE1 7RH, UK

Econometrics, 2021, vol. 9, issue 2, 1-15

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 (search for similar items in EconPapers)
JEL-codes: B23 C C00 C01 C1 C2 C3 C4 C5 C8 (search for similar items in EconPapers)
Date: 2021
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