Noncommutative convexity arises from linear matrix inequalities

DOI10.1016/j.jfa.2006.03.018zbMath1135.47005OpenAlexW2063191289MaRDI QIDQ860776

Victor Vinnikov, J. William Helton, Scott A. McCullough

Publication date: 9 January 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2006.03.018

zbMATH Keywords

linear matrix inequalitiesdeterminantal representationsnoncommutative polynomialsnoncommutative rational functions

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Positive matrices and their generalizations; cones of matrices (15B48) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Algebraic methods (93B25) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Semialgebraic sets and related spaces (14P10)

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Uses Software

• SeDuMi
• LMI toolbox
• NCAlgebra

Cites Work

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