The invariance of elementary symmetric functions

DOI10.1080/03081087608817153zbMath0353.15005OpenAlexW2017405088MaRDI QIDQ4123452

Henryk Minc

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1080/03081087608817153

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

Linear transformations on symmetric matrices, Operators that preserve semiring matrix functions, Chapter 4:algebraic sets, polynomials, and other functions, Combinatorial analysis. (Matrix problems, choice theory), Nonlinear maps preserving the elementary symmetric functions

Cites Work

• Transformations on tensor product spaces
• The invariance of symmetric functions of singular values
• Linear transformations on nonnegative matrices
• Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions
• The Permanent Function
• Linear Transformations on Matrices: the Invariance of the Third Elementary Symmetric Function