D-optimal (0,1)-weighing designs for eight objects

被引：5
|
作者：
Neubauer, Michael G. [2 ]
Pace, Richard G. [1 ]
机构：
[1] IBM Corp, Agoura Hills, CA 91301 USA
[2] Calif State Univ Northridge, Dept Math, Northridge, CA 91330 USA
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2010年 / 432卷 / 10期
关键词：
D-optimal design; DETMAX; Weighing design; Threshold graph; OPTIMAL WEIGHING DESIGNS; MOD-4; OBJECTS; LARGE NUMBER; CONSTRUCTION; INEQUALITY;
D O I：
10.1016/j.laa.2009.12.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let G(m, n) = max{det (WW)-W-T vertical bar W is an element of M-m,M-n(0, 1)}. A matrix W is an element of M-m,M-n(0, 1) with det (WW)-W-T = G(m, n) is called D-optimal. Here we determine G(m, 8) for m large with the help of a variation of Mitchell's DETMAX algorithm, and describe the D-optimal examples. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：2634 / 2657
页数：24
相关论文
共 50 条
12345