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Classes of Positive Definite Unimodular Circulants
Published online by Cambridge University Press: 20 November 2018
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All matrices considered here have rational integral elements. In particular some circulants of this nature are investigated. An n × n circulant is of the form
The following result concerning positive definite unimodular circulants was obtained recently (3 ; 4 ):
Let C be a unimodular n × n circulant and assume that C = AA' where A is an n × n matrix and A' its transpose. Then it follows that C = C1C1', where C1 is again a circulant.
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- Copyright © Canadian Mathematical Society 1957
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