TY - JOUR
T1 - Determinants of matrices of conference type
AU - Bussemaker, F.C.
AU - Kaplansky, I.
AU - McKay, B.
AU - Seidel, J.J.
PY - 1997
Y1 - 1997
N2 - An n by n conference type matrix has 0's on the main diagonal and ±1's elsewhere. We investigate the largest possible determinant of such a matrix. The literature is extensive for n even, but for n odd the question has not been previously studied. We determine the maxima up to n = 11: for n = 3, 5, 7, 9, 11 they are 2, 22, 394, 8760, 240786. It will require a new idea or a huge computation to go beyond n = 11.
AB - An n by n conference type matrix has 0's on the main diagonal and ±1's elsewhere. We investigate the largest possible determinant of such a matrix. The literature is extensive for n even, but for n odd the question has not been previously studied. We determine the maxima up to n = 11: for n = 3, 5, 7, 9, 11 they are 2, 22, 394, 8760, 240786. It will require a new idea or a huge computation to go beyond n = 11.
U2 - 10.1016/S0024-3795(96)00412-0
DO - 10.1016/S0024-3795(96)00412-0
M3 - Article
SN - 0024-3795
VL - 261
SP - 275
EP - 292
JO - Linear Algebra and Its Applications
JF - Linear Algebra and Its Applications
IS - 1-3
ER -