Semialgebraic stellensâtze for matrices

DOI10.1080/00927879008823922zbMath0698.15010OpenAlexW2063112248MaRDI QIDQ3475406

Guangxin Zeng

Publication date: 1990

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879008823922

zbMATH Keywords

eigenvaluespositivitypreordered fieldsemialgebraic Stellensätze

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Positive matrices and their generalizations; cones of matrices (15B48) Algebraic systems of matrices (15A30) Ordered fields (12J15)

Related Items (1)

Stellensätze for matrices over a commutative ring

Cites Work

• An introduction to real algebra
• Positive semi-definite matrices as sums of squares
• A nullstellensatz for ordered fields
• A Nullstellensatz and a Positivstellensatz in semialgebraic geometry
• A Characterization of Preordered Fields with the Weak Hilbert Property

This page was built for publication: Semialgebraic stellensâtze for matrices