Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Remote Access
Green Open Access
Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

On Hadamard matrices constructible by circulant submatrices


Author: C. H. Yang
Journal: Math. Comp. 25 (1971), 181-186
MSC: Primary 05.25
Corrigendum: Math. Comp. 28 (1974), 1183-1184.
Corrigendum: Math. Comp. 28 (1974), 1183-1184.
MathSciNet review: 0288037
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 05.25

Retrieve articles in all journals with MSC: 05.25


Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1971-0288037-7
PII: S 0025-5718(1971)0288037-7
Keywords: Construction of Hadamard matrices, circulant matrices, standard type H-matrices, Williamson type H-matrices, recursive method for H-matrices, table for some H-matrices
Article copyright: © Copyright 1971 American Mathematical Society