EMBEDDING COCYCLIC D-OPTIMAL DESIGNS IN COCYCLIC HADAMARD MATRICES

被引：0
作者：
Alvarez, Victor [1 ]
Andres Armario, Jose [1 ]
Dolores Frau, Maria [1 ]
Guidiel, Felix [1 ]
机构：
[1] Univ Seville, Dept Appl Math 1, E-41012 Seville, Spain
来源：
ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2012年 / 24卷
关键词：
D-optimal Designs; Cocyclic Hadamard matrices; Embedded matrices; Gaussian elimination pivots; GROWTH;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A method for embedding cocyclic submatrices with "large" determinants of orders 2t in certain cocyclic Hadamard matrices of orders 4t is described (t an odd integer). If these determinants attain the largest possible value, we are embedding D-optimal designs. Applications to the pivot values that appear when Gaussian elimination with complete pivoting is performed on these cocyclic Hadamard matrices are studied.
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页码：66 / 82
页数：17
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