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arxiv: 1601.06872 · v1 · pith:PKUKEMTNnew · submitted 2016-01-26 · 🧮 math.RA

Double Circulant Matrices

classification 🧮 math.RA
keywords circulantdoublematricesintroducedmatrixcomputeconsecutiveexhibited
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Double circulant matrices are introduced and studied. A formula to compute the rank r of a double circulant matrix is exhibited; and it is shown that any consecutive r rows of the double circulant matrix are linearly independent. As a generalization, multiple circulant matrices are also introduced. Two questions on square double circulant matrices are suggested.

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