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pro vyhledávání: '"Seberry, Jennifer"'
Autor:
Seberry, Jennifer, Balonin, N. A.
\textit{Propus} (which means twins) is a construction method for orthogonal $\pm 1$ matrices based on a variation of the Williamson array called the \textit{propus array} \[ \begin{matrix*}[r] A& B & B & D B& D & -A &-B B& -A & -D & B D& -B & B &-A.
Externí odkaz:
http://arxiv.org/abs/1512.01732
We give some very interesting matrices which are orthogonal over groups and, as far as we know, referenced, but in fact undocumented. This note is not intended to be published but available for archival reasons.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/1510.06816
Autor:
Balonin, N. A., Seberry, Jennifer
A $Cretan(4t+1)$ matrix, of order $4t+1$, is an orthogonal matrix whose elements have moduli $\leq 1$. The only $Cretan(4t+1)$ matrices previously published are for orders 5, 9, 13, 17 and 37. This paper gives infinitely many new $Cretan(4t+1)$ matri
Externí odkaz:
http://arxiv.org/abs/1510.05736
Autor:
Balonin, N. A., Seberry, Jennifer
Cretan matrices are orthogonal matrices with elements $\leq 1$. These may have application in forming some new materials. There is a search for Cretan matrices, especially with high determinant, for all orders. These have been found by both mathemati
Externí odkaz:
http://arxiv.org/abs/1502.01082
Autor:
Seberry, Jennifer, Balonin, N. A.
We study orthogonal matrices whose elements have moduli $\leq 1$. This paper shows that the existence of two such families of matrices is equivalent. Specifically we show that the existence of an Hadamard matrix of order $4t$ is equivalent to the exi
Externí odkaz:
http://arxiv.org/abs/1501.07012
Publikováno v:
Special Matrices, Vol 6, Iss 1, Pp 155-165 (2018)
Hadamard matrices have many applications in several mathematical areas due to their special form and the numerous properties that characterize them. Based on a recently developed relation between minors of Hadamard matrices and using tools from calcu
Externí odkaz:
https://doaj.org/article/f4c14e91968840d1bcf7b81ba4c8b288
Publikováno v:
In Linear Algebra and Its Applications 1 April 2012 436(7):2054-2066
Autor:
BALONIN, N. A.1 korbendfs@mail.ru, SEBERRY, JENNIFER2 jennifer_seberry@uow.edu.au
Publikováno v:
Mathematical Scientist. Dec2018, Vol. 43 Issue 2, p137-143. 7p.