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

页码：2634 / 2657

页数：24

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