D-optimal weighing designs for six objects |
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| Authors: | Michael G. Neubauer William Watkins Joel Zeitlin |
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| Affiliation: | (1) Department of Mathematics, California State University Northridge, Northridge, CA 91330, USA (e-mail: bill.watkins@csun.edu), US |
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| Abstract: | For all integers m≥6, we determine the maximum value of det X T X, where X is an m×6 (0, 1)-matrix, and exhibit (D-optimal) matrices X for which the maximum occurs. For D-optimal matrices X, the uniqueness of the Gram matrix X T X is discussed. Received: May 2000 |
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| Keywords: | AMS Classification: Primary: 62K05 05B05. Secondary: 05B20 15A15 |
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