Journal of Advances in Mathematics and Computer Science

Compounding Commuting Matrices

Ronald P. Nordgren *

Brown School of Engineering, Rice University, USA.

*Author to whom correspondence should be addressed.

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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.

Keywords: Commuting matrices, matrix compounding, Circulant Matrices, Latin squares, Jordan Form, SVD

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