A relation between the determinant and the permanent on singular matrices

DOI10.1016/j.laa.2012.12.029zbMath1270.15003OpenAlexW1982592046MaRDI QIDQ1947127

Maria Antónia Duffner, Henrique F. da Cruz

Publication date: 12 April 2013

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.12.029

zbMATH Keywords

linear transformationdeterminantspermanentslinear preserver problems

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Linear transformations, semilinear transformations (15A04) Max-plus and related algebras (15A80)

Related Items (2)

The number of matrices with nonzero permanent over a finite field ⋮ On the linear preservers of Schur matrix functionals

Cites Work

• On the Pólya permanent problem over finite fields
• On the relation between the determinant and the permanent
• The Permanent Function
• On the Relation Between the Determinant and the Permanent on Symmetric Matrices
• On the Conversion of the Determinant into the Permanent
• Unnamed Item

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