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Research Article Open access CC BY 4.0

Compounding Commuting Matrices

Ronald P. Nordgren

Journal of Advances in Mathematics and Computer Science · pp. 1–8 · Published 24 Dec 2018

10.9734/JAMCS/2019/45969

Abstract

We formulate a method of constructing families of commuting matrices of increasing order by sequential compounding. Formulas are derived for sequentially constructing their Jordan forms and singular-value decompositions. Examples are given to illustrate our methods including construction of commuting Latin squares.

Commuting matrices matrix compounding Circulant Matrices Latin squares Jordan Form SVD

Cited by 5

Compound Lucas magic square matrices

Ronald P. Nordgren · Discrete Mathematics · 2024

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