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
  • [31] Constructing cocyclic Hadamard matrices of order 4p
    Acevedo, Santiago Barrera
    Cathain, Padraig O.
    Dietrich, Heiko
    JOURNAL OF COMBINATORIAL DESIGNS, 2019, 27 (11) : 627 - 642
  • [32] Cocyclic Generalised Hadamard Matrices and Central Relative Difference Sets
    Perera A.A.I.
    Horadam K.J.
    Designs, Codes and Cryptography, 1998, 15 (2) : 187 - 200
  • [33] A Heuristic Procedure with Guided Reproduction for Constructing Cocyclic Hadamard Matrices
    Alvarez, V.
    Frau, M. D.
    Osuna, A.
    ADAPTIVE AND NATURAL COMPUTING ALGORITHMS, 2009, 5495 : 150 - 160
  • [34] Rooted Trees Searching for Cocyclic Hadamard Matrices over D4t
    Alvarez, Victor
    Andres Armario, Jose
    Dolores Frau, Maria
    Gudiel, Felix
    Osuna, Amparo
    APPLIED ALGEBRA, ALGEBRAIC ALGORITHMS, AND ERROR-CORRECTING CODES, 2009, 5527 : 204 - 214
  • [35] D-optimal designs embedded in Hadamard matrices and their effect on the pivot patterns
    Mitrouli, M.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 434 (07) : 1761 - 1772
  • [36] D-OPTIMAL DESIGNS WITH HADAMARD MATRIX
    CHOW, KL
    LII, KS
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 179 (01) : 76 - 90
  • [37] Cocyclic Hadamard matrices from forms over finite Frobenius rings
    McGuire, Gary
    Ward, Harold N.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 430 (07) : 1730 - 1738
  • [38] A Simple Cocyclic Jacket Matrices
    Lee, Moon Ho
    Feng, Gui-Liang
    Chen, Zhu
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2008, 2008
  • [39] Cocyclic Hadamard codes from semifields
    Udaya, P
    Horadam, K
    2000 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, PROCEEDINGS, 2000, : 31 - 31
  • [40] A new class of ternary cocyclic Hadamard codes
    Horadam, KJ
    Udaya, P
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2003, 14 (01) : 65 - 73
12345