Article
Hadamard matrices, Sequences, and Block Designs
Faculty of Informatics - Papers (Archive)
Publication Date
1-1-1992
Abstract
One hundred years ago, in 1893, Jacques Hadamard [31] found square matrices of orders 12 and 20, with entries ±1, which had all their rows (and columns) pairwise orthogonal. These matrices, X = (Xij), satisfied the equality of the following inequality,
|detX|2 ≤ ∏ ∑ |xij|2,
and so had maximal determinant among matrices with entries ±1. Hadamard actually asked the question of finding the maximal determinant of matrices with entries on the unit disc, but his name has become associated with the question concerning real matrices.
Disciplines
Citation Information
Jennifer Seberry and Mieko Yamada. "Hadamard matrices, Sequences, and Block Designs" (1992) Available at: http://works.bepress.com/jseberry/246/
Jennifer Seberry and Mieko Yamada, Hadamard matrices, Sequences, and Block Designs, Contemporary Design Theory – A Collection of Surveys, (D. J. Stinson and J. Dinitz, Eds.)), John Wiley and Sons, (1992), 431-560.