An identity between the determinant and the permanent of Hessenberg-type matrices

DOI10.1007/s10587-011-0059-1zbMath1249.15011OpenAlexW1971832285MaRDI QIDQ2881222

Carlos Martins de Fonseca

Publication date: 3 April 2012

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/196299

zbMATH Keywords

treegraphdeterminantpermanentHessenberg matrix

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (6)

Convertible subspaces of Hessenberg-type matrices ⋮ On a closed form for derangement numbers: an elementary proof ⋮ Remarks and open problems on the minimum permanent of acyclic doubly stochastic matrices ⋮ Disproving a conjecture of Thornton on Bohemian matrices ⋮ Convertible subspaces that arise from different numberings of the vertices of a graph ⋮ Root location for the characteristic polynomial of a Fibonacci type sequence

Cites Work

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• On the relation between the determinant and the permanent
• A relationship between determinants and permanents
• Generalized Hessenberg matrices.
• Pólya's permanent problem
• On convertible complex matrices
• A note on generalized Hessenberg matrices
• On convertible (0,1)-matrices
• On the Relation Between the Determinant and the Permanent on Symmetric Matrices
• On the Conversion of the Determinant into the Permanent
• An Identity Between Permanents and Determinants
• Conversion of the Permanent into the Determinant
• Another Solution of an Old Problem of Polya

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