BOUNDS ON MINORS OF BINARY MATRICES

DOI10.1017/S000497271200086XzbMath1276.05018arXiv1208.3330WikidataQ56938953 ScholiaQ56938953MaRDI QIDQ2865131

Richard P. Brent, Judy-anne H. Osborn

Publication date: 28 November 2013

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.3330

zbMATH Keywords

Hadamard matricesbinary matricesminorsmean squareCauchy-Binet formula\(\{+1,-1\}\)-matrices

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Determinants, permanents, traces, other special matrix functions (15A15) Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.) (05D40) Boolean and Hadamard matrices (15B34)

Cites Work

• Unnamed Item
• Exotic complex Hadamard matrices and their equivalence
• Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley
• An algorithm to find formulae and values of minors for Hadamard matrices. II
• On random ±1 matrices: Singularity and determinant
• $(1,-1)$-Matrices with Near-Extremal Properties
• An algorithm to find formulae and values of minors for Hadamard matrices

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