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Embedding cocylic D-optimal designs in cocylic Hadamard matrices

2012
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The Electronic Journal of Linear Algebra
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A method for embedding cocyclic submatrices with "large" determinants of orders 2t in certain cocyclic Hadamard matrices of orders 4t is described (t an odd integer). If these determinants attain the largest possible value, we are embedding D-optimal designs. Applications to the pivot values that appear when Gaussian elimination with complete pivoting is performed on these cocyclic Hadamard matrices are studied. http://math.technion.ac.il/iic/ela In 1969, Cryer [7] conjectured that if A is a

doi:10.13001/1081-3810.1580
fatcat:kwvybo2ug5gendly4wyo373fvy