Determinants of matrices of conference type

F.C. Bussemaker, I. Kaplansky, B. McKay, J.J. Seidel

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)275-292
JournalLinear Algebra and Its Applications
Volume261
Issue number1-3
DOIs
Publication statusPublished - 1997

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