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D-optimal (0,1)-weighing designs for 10 objects
Authors:
Eloy A. Lopez a;
Michael G. Neubauer a
| Affiliation: | a Department of Mathematics, California State University Northridge, Northridge, CA, USA |
DOI:
10.1080/03081080701872069
Publication Frequency:
8 issues per year
Published in:
Linear and Multilinear Algebra
First Published on:
23 January 2009
Linear and Multilinear Algebra
Subjects:
Algebra;
Fields & Rings;
Linear & Multilinear Algebra;
Numerical Algebra;
Vector & Tensor Analysis;
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Abstract
Let Mm,n(0, 1) be the set of m
 n (0, 1)-matrices and G(m, n) = max det WTW| W ∈ Mm,n(0, 1) . A matrix W ∈ Mm,n(0, 1) with det WTW = G(m, n) is called D-optimal. Here we determine G(m, 10) for m large. Furthermore, we show that D-optimal examples are unique up to the action of a group.
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| Keywords: D-optimal design; weighing design; threshold partition |
| AMS Classification: Primary: 62K05, 05B05; Secondary: 05B20, 15A15 |
| view references (25) |
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