Linear preserves of the permanent on symmetric matrices

DOI10.1080/03081089608818455zbMath0871.15007OpenAlexW2158401947MaRDI QIDQ4336761

M. Purificação Coelho

Publication date: 26 June 1997

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

Full work available at URL: https://doi.org/10.1080/03081089608818455

zbMATH Keywords

symmetric matricespermanentlinear preserves

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Linear transformations, semilinear transformations (15A04)

Related Items (10)

Unnamed Item ⋮ Permanent Polya problem for additive surjective maps ⋮ Linear preservers of immanants on skew-symmetric matrices ⋮ Immanant conversion on symmetric matrices ⋮ Converting immanants on skew-symmetric matrices ⋮ Linear preservers of the permanent on skew-symmetric matrices ⋮ Linear immanant converters on skew-symmetric matrices of order 4 ⋮ On the Relation Between the Determinant and the Permanent on Symmetric Matrices ⋮ On the Conversion of an Immanant into Another on Symmetric Matrices ⋮ The multilinear algebra of José Dias da Silva and the Portuguese school of mathematics

Cites Work

• Linear transformations on symmetric matrices that preserve the permanent
• Linear transformations that preserve immanants
• The Permanent Function

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