A note on extrema of linear combinations of elementary symmetric functions

DOI10.1080/03081087.2011.588438zbMath1271.14089arXiv1103.0430OpenAlexW3104939324MaRDI QIDQ2879649

Salma Kuhlmann, Alexander Kovačec, Cordian Riener

Publication date: 29 March 2012

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

Full work available at URL: https://arxiv.org/abs/1103.0430

zbMATH Keywords

elementary symmetric functionhyperbolic polynomiallocal extremum

Mathematics Subject Classification ID

Real polynomials: location of zeros (26C10) Real algebraic and real-analytic geometry (14P99) Real polynomials: analytic properties, etc. (26C05) Computational aspects in algebraic geometry (14Q99)

Related Items (5)

Bounding the equivariant Betti numbers of symmetric semi-algebraic sets ⋮ Linear slices of hyperbolic polynomials and positivity of symmetric polynomial functions ⋮ Bounds on elementary symmetric functions ⋮ On the Choi-Lam analogue of Hilbert's 1888 theorem for symmetric forms ⋮ Effective cycles on the symmetric product of a curve, I: the diagonal cone

Cites Work

• On the positivity of symmetric polynomial functions. I: General results
• A theorem on optimum allocation for a class of symmetric multilinear return functions
• ON global extrema for a class of symmetric functions
• Remarks on the van der Waerden conjecture. II
• Do Symmetric Problems Have Symmetric Solutions?
• An inequality on elementary symmetric functions
• On the relative extrema of a linear combination of elementary symmetric functions

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