Joiţa, D.; Năstăsescu, L. On an extended Hadamard maximum determinant problem. (English) Zbl 1231.15011 Math. Inequal. Appl. 14, No. 4, 927-934 (2011). 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 \(a_{m,n}\). Reviewer: Chen Sheng (Harbin) MSC: 15A15 Determinants, permanents, traces, other special matrix functions 15B34 Boolean and Hadamard matrices Keywords:Hadamard maximum determinant problem PDFBibTeX XMLCite \textit{D. Joiţa} and \textit{L. Năstăsescu}, Math. Inequal. Appl. 14, No. 4, 927--934 (2011; Zbl 1231.15011) Full Text: DOI