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Noncommutative polynomials nonnegative on a variety intersect a convex set

Article ID Journal Published Year Pages File Type
4590474 Journal of Functional Analysis 2014 69 Pages PDF
Abstract

This paper gives a precise algebraic certificate for a noncommutative polynomial to be nonnegative on a free convex semialgebraic set intersect the variety of a free left ideal.

Keywords
Semidefinite programming (SDP)Linear matrix inequality (LMI)
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Noncommutative polynomials nonnegative on a variety intersect a convex set
Authors
J. William Helton, Igor Klep, Christopher S. Nelson,
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Journal
Journal of Functional Analysis
Journal: Journal of Functional Analysis
Related Categories
Semidefinite programming (SDP)
Linear matrix inequality (LMI)
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
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