Pólya convertibility problem for symmetric matrices

DOI10.1134/S0001434612110053zbMath1268.15004OpenAlexW2069821933MaRDI QIDQ1946423

Alexander E. Guterman, Gregor Dolinar, Bojan Kuzma

Publication date: 15 April 2013

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

Full work available at URL: https://doi.org/10.1134/s0001434612110053

zbMATH Keywords

determinantsymmetric matricespermanent

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (3)

Arithmetic matrix operations that preserve conversion ⋮ Convertible subspaces that arise from different numberings of the vertices of a graph ⋮ Construction of nonconvertible \((0,1)\) matrices

Cites Work

• Unnamed Item
• On the Pólya permanent problem over finite fields
• On the relation between the determinant and the permanent
• Immanant preserving and immanant converting maps
• An exploration of the permanent-determinant method
• Pólya's permanent problem
• A characterization of convertible (0,1)-matrices
• Subspaces where an immanant is convertible into its conjugate^∗
• The statistics of dimers on a lattice
• On the Relation Between the Determinant and the Permanent on Symmetric Matrices
• On the Conversion of an Immanant into Another on Symmetric Matrices
• Dimer problem in statistical mechanics-an exact result
• On the Conversion of the Determinant into the Permanent
• An Identity Between Permanents and Determinants
• Conversion of the Permanent into the Determinant

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