Classes of Positive Definite Unimodular
Circulants
All matrices considered here have rational integral elements. In particular some circulants of this nature are investigated. An n × n circulant is of the formThe 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.
1988 ◽
Vol 30
(1)
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pp. 75-85
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1969 ◽
Vol 21
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pp. 1309-1318
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1935 ◽
Vol 54
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pp. 12-16
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1990 ◽
Vol 115
(3-4)
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pp. 231-242
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1968 ◽
Vol 64
(1)
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pp. 161-166
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1969 ◽
Vol 10
(3-4)
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pp. 367-384
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Keyword(s):