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Selected Works

Selected Works

Professor Jennifer Seberry

D-optimal designs

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Values Of Minors Of An Infinite Family Of D-Optimal Designs And Their Application To The Growth Problem, C. Koukouvinos, M. Mitrouli, Jennifer Seberry May 2008

Values Of Minors Of An Infinite Family Of D-Optimal Designs And Their Application To The Growth Problem, C. Koukouvinos, M. Mitrouli, Jennifer Seberry

Professor Jennifer Seberry

We obtain explicit formulae for the values of the 2v ā€” j minors, j = 0, 1, 2 of D-optimal designs of order 2v = x2 + y2, v odd, where the design is constructed using two circulant or type 1 incidence matrices of either two SBIBD(2s2 + 2s + 1, s2, s2-s/2) or 2 ā€” {2s2 + 2s + 1; s2, s2; s(sā€“1)} sds. This allows us to obtain information on the growth problem for families of matrices with moderate growth. Some of our theoretical formulae imply growth greater than 2(2s2 + 2s + 1) but experimentation has not ā€¦


New D-Optimal Designs Of Order 110, R. J. Fletcher, Jennifer Seberry May 2008

New D-Optimal Designs Of Order 110, R. J. Fletcher, Jennifer Seberry

Professor Jennifer Seberry

We give two new D-optimal designs of order 110.