Permanents of d-dimensional matrices

DOI10.1016/0024-3795(87)90311-9zbMath0614.15003OpenAlexW2079848585MaRDI QIDQ1820218

Stephen J. Dow, Peter M. Gibson

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90311-9

zbMATH Keywords

permanent functionhigher dimensional matrices

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48) Stochastic matrices (15B51)

Related Items (9)

Values of the permanent function on multidimensional \((0,1) \)-matrices ⋮ Permanents of multidimensional matrices: Properties and applications ⋮ On partly and nearly decomposable tensors ⋮ A range of the multidimensional permanent on (0, 1)-matrices ⋮ An efficient tree decomposition method for permanents and mixed discriminants ⋮ Nonnegative tensors revisited: plane stochastic tensors ⋮ The permanent functions of tensors ⋮ Multidimensional permanents of polystochastic matrices ⋮ Computing the Partition Function for Perfect Matchings in a Hypergraph

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the nonexistence of certain M.D.S. codes and projective planes
• Proof of the van der Waerden conjecture regarding the permanent of a doubly stochastic matrix
• The solution of van der Waerden's problem for permanents
• Extremal plane stochastic matrices of dimension three
• Some inequalities for multidimensional (0,1)-matrices
• Extremal configurations and decomposition theorems. I
• A Metrization for Power-Sets with Applications to Combinatorial Analysis
• Matrices of zeros and ones
• Permanents
• Orthogonal Arrays of Index Unity

This page was built for publication: Permanents of d-dimensional matrices