An inequality for positive definite matrices with applications to combinatorial matrices

zbMath0884.15013MaRDI QIDQ1373316

Michael G. Neubauer

Publication date: 10 March 1998

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

nonnegative matricesincidence matrices\((0,1)\)-matricesdeterminant inequalitypositive definite\((-1,+1)\)-matrices\((n,k,\lambda\)-design

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45) Matrices of integers (15B36) Proceedings of conferences of general interest (00B20)

Related Items (3)

Bounds on graph energy and Randic energy ⋮ A note on D-optimal chemical balance weighing designs with autocorrelated observations ⋮ D-optimal \((0,1)\)-weighing designs for eight objects

Cites Work

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• Optimality of some weighing and \(2^n\) fractional factorial designs
• D-optimum weighing designs
• Supplementary difference sets and optimal designs
• The maximum determinant of \(\pm 1\) matrices
• Maximal \(j\)-simplices in the real \(d\)-dimensional unit cube
• Determinantenabschätzung für binäre Matrizen mit \(n\equiv 3\bmod 4\)
• Determinantenabschätzungen für binäre Matrizen. (Estimation of determinants for binary matrices)
• Maximal Determinants In Combinatorial Investigations
• Combinatorial Properties of Matrices of Zeros and Ones
• On Determinants with Elements ±1, II
• On Hadamard's inequality for the determinants of order non-divisible by 4
• Determinants with Elements ± 1

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