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
  • [1] D-optimal (0,1)-weighing designs for 10 objects
    Lopez, Eloy A.
    Neubauer, Michael G.
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2010, 58 (02): : 151 - 171
  • [2] D-optimal weighing designs for six objects
    Michael G. Neubauer
    William Watkins
    Joel Zeitlin
    [J]. Metrika, 2000, 52 : 185 - 211
  • [3] D-optimal weighing designs for six objects
    Neubauer, MG
    Watkins, W
    Zeitlin, J
    [J]. METRIKA, 2000, 52 (03) : 185 - 211
  • [4] D-Optimal Chemical Balance Weighing Designs with N ≡ 0 (mod 4) and 3 Objects
    Katulska, Krystyna
    Smaga, Lukasz
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2012, 41 (13-14) : 2445 - 2455
  • [5] D-OPTIMAL WEIGHING DESIGNS AND OPTIMAL CHEMICAL BALANCE WEIGHING DESIGNS FOR ESTIMATING THE TOTAL WEIGHT
    WEI, FF
    NOTZ, WI
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1992, 21 (03) : 667 - 678
  • [6] D-optimal weighing designs for n-1 (mod 4) objects and a large number of weighings
    Abrego, BM
    Fernández-Merchant, S
    Neubauer, MG
    Watkins, W
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 374 : 175 - 218
  • [7] On certain d-optimal spring balance weighing designs
    Katulska K.
    Przybył K.
    [J]. Journal of Statistical Theory and Practice, 2007, 1 (3-4) : 393 - 404
  • [8] Trace-minimal graphs and D-optimal weighing designs
    Abrego, BM
    Fernández-Merchant, S
    Neubauer, MG
    Watkins, W
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 412 (2-3) : 161 - 221
  • [9] CONSTRUCTION OF D-OPTIMAL WEIGHING DESIGNS WITH MINIMAL NUMBER OF OBSERVATIONS
    BRODSKII, VZ
    GOLIKOVA, TI
    [J]. TEORIYA VEROYATNOSTEI I YEYE PRIMENIYA, 1972, 17 (03): : 578 - &
  • [10] D-optimal chemical balance weighing designs with autoregressive errors
    Krystyna Katulska
    Łukasz Smaga
    [J]. Metrika, 2013, 76 : 393 - 407
12345