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.
引用
收藏
页码：66 / 82
页数：17
相关论文
共 50 条
  • [41] Cocyclic Butson Hadamard matrices and codes over Zn via the trace map
    Pinnawala, N.
    Rao, A.
    FINITE FIELDS AND APPLICATIONS, 2008, 461 : 213 - 228
  • [42] A New Class of Ternary Cocyclic Hadamard Codes
    K. J. Horadam
    P. Udaya
    Applicable Algebra in Engineering, Communication and Computing, 2003, 14 : 65 - 73
  • [43] On block cocyclic pairs of nonnegative matrices
    Yang, SJ
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1998, 282 (1-3) : 131 - 143
  • [44] A new class of ternary cocyclic Hadamard codes
    Horadam, KJ
    Udaya, P
    ISIT: 2002 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, PROCEEDINGS, 2002, : 175 - 175
  • [45] New skew-Hadamard matrices of order 4.59 and new D-optimal designs of order 2.59
    Fletcher, RJ
    Koukouvinos, C
    Seberry, J
    DISCRETE MATHEMATICS, 2004, 286 (03) : 251 - 253
  • [46] Quantum LDPC Codes Based on Cocyclic Block Matrices
    Li, Yuan
    Guo, Ying
    ENTROPY, 2023, 25 (09)
  • [47] Cocyclic jacket matrices and its application to cryptography systems
    Hou, J
    Lee, MH
    INFORMATION NETWORKING: CONVERGENCE IN BROADBAND AND MOBILE NETWORKING, 2005, 3391 : 662 - 668
  • [48] On the Perron Eigenvalue of a Block Cocyclic Pair of Nonnegative Matrices
    Dept. de Matemàtica Aplicada, Univ. Politecnica de Valencia, 46071 València, Spain
    不详
    不详
    Linear Algebra Its Appl, (231-243):
  • [49] On the Perron eigenvalue of a block cocyclic pair of nonnegative matrices
    Bru, R
    Climent, JJ
    Johnson, CR
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1996, 236 : 231 - 243
  • [50] D-optimal designs
    deAguiar, PF
    Bourguignon, B
    Khots, MS
    Massart, DL
    PhanThanLuu, R
    CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS, 1995, 30 (02) : 199 - 210
12345