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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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On Hadamard matrices constructible by circulant submatrices
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by C. H. Yang PDF
Math. Comp. 25 (1971), 181-186 Request permission

Abstract:

Let ${V_{2n}}$ be an H-matrix of order 2n constructible by using circulant $n \times n$ submatrices. A recursive method has been found to construct ${V_{4n}}$ by using circulant $2n \times 2n$ submatrices which are derived from $n \times n$ submatrices of a given ${V_{2n}}$. A similar method can be applied to a given ${W_{4n}}$, an H-matrix of Williamson type with odd n, to construct ${W_{8n}}$. All ${V_{2n}}$ constructible by the standard type, for $1 \leqq n \leqq 16$, and some ${V_{2n}}$, for $n \geqq 20$, are listed and classified by this method.
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Math. Comp. 25 (1971), 181-186
  • MSC: Primary 05.25
  • DOI: https://doi.org/10.1090/S0025-5718-1971-0288037-7
  • MathSciNet review: 0288037