On the positivity of symmetric polynomial functions. II: Lattice general results and positivity criteria for degrees 4 and 5

DOI10.1016/j.jmaa.2004.09.055zbMath1058.05065OpenAlexW2032214842MaRDI QIDQ1772385

Vlad Timofte

Publication date: 18 April 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.09.055

zbMATH Keywords

Bounded extremumExtremal inequalityHomogeneous symmetric polynomialTopological ordered vector space

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05)

Related Items

Bounding the equivariant Betti numbers of symmetric semi-algebraic sets ⋮ A class of mechanically decidable problems beyond Tarski's model ⋮ On the positivity of symmetric polynomial functions. III: Extremal polynomials of degree 4 ⋮ A Simple Quantifier-Free Formula of Positive Semidefinite Cyclic Ternary Quartic Forms ⋮ On algorithms testing positivity of real symmetric polynomials

Cites Work

• Even symmetric sextics
• Extremal positive semidefinite forms
• On the positivity of symmetric polynomial functions. I: General results
• Real even symmetric ternary forms
• Notions of convexity
• Unnamed Item