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

VL - 261

SP - 275

EP - 292

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

SN - 0024-3795

IS - 1-3

ER -