Permanents of matrices of signed ones

DOI10.1080/03081080500093990zbMath1085.15006OpenAlexW2021177068WikidataQ56288964 ScholiaQ56288964MaRDI QIDQ5317721

Ian M. Wanless

Publication date: 21 September 2005

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

Full work available at URL: https://doi.org/10.1080/03081080500093990

zbMATH Keywords

Toeplitz matrixHadamard matrixpermanentcounterexamples(1,-1)-matrix

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Determinants, permanents, traces, other special matrix functions (15A15) Matrices of integers (15B36)

Related Items

Kräuter conjecture on permanents is true ⋮ On the divisibility of permanents for \((\pm1)\)-matrices ⋮ On characteristic and permanent polynomials of a matrix ⋮ \( \pm 1\)-matrices with vanishing permanent ⋮ Parameterized complexity of determinant and permanent ⋮ An update on Minc's survey of open problems involving permanents ⋮ Permanents of matrices over roots of unity ⋮ Hadamard Matrices of Order 32 ⋮ On the permanent of random Bernoulli matrices ⋮ Permanent, determinant, and rank of bi-block graphs ⋮ On the permanent of a random symmetric matrix ⋮ Product vectors in the ranges of multi-partite states with positive partial transposes and permanents of matrices

Uses Software

• OEIS
• Hadamard

Cites Work

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• On some questions concerning permanents of \((1,-1)\)-matrices
• On permanents of (1,-1)-matrices
• On (+1,-1)-matrices with vanishing permanent
• Positive diagonals of \(\pm 1\)-matrices
• Theory of permanents 1982–1985
• Theory of permanents 1978–1981