×

On an extended Hadamard maximum determinant problem. (English) Zbl 1231.15011

Motivated by the Hadamard maximum determinant problem we study the quantities \(a_{m,n} = \text{maxdet}(AA^T)\) where \(A\) is a \(m\times n\) matrix with entries 1 and \(-1\). We find the exact values of \(a_{2,n}\) and \(a_{3,n}\) and for a general \(m\) we give upper and lower bounds for \(a_{m,n}\).

MSC:

15A15 Determinants, permanents, traces, other special matrix functions
15B34 Boolean and Hadamard matrices
PDFBibTeX XMLCite
Full Text: DOI