Reduction of joint \(c\)-numerical ranges

DOI10.1016/j.amc.2014.01.067zbMath1410.15043OpenAlexW1970953177MaRDI QIDQ1646089

Hiroshi Nakazato, Mao-Ting Chien

Publication date: 22 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.067

zbMATH Keywords

robust controlreductioncompound matrixjoint \(c\)-numerical range

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Related Items (2)

Convexity and star-shapedness of matricial range ⋮ Curves of geodesic centers and Poncelet ellipses

Cites Work

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• Reduction of the \(c\)-numerical range to the classical numerical range
• Detecting rigid convexity of bivariate polynomials
• Boundary generating curves of the \(c\)-numerical range
• Convexity of the joint numerical range: Topological and differential geometric viewpoints.
• Gradient flows computing the C-numerical range with applications in NMR spectroscopy
• An Extension of the Hausdorff-Toeplitz Theorem on the Numerical Range
• Linear matrix inequality representation of sets
• Matrix Analysis
• m-form numerical range and the computation of the structured singular value
• Stability of linear predictors and numerical range of shift operators in normal spaces
• A theorem on numerical range
• Elementary proofs for some results on the circular symmetry of the numerical range
• A Survey of the S-Lemma
• Inequalities: theory of majorization and its applications
• The Toeplitz-Hausdorff theorem and robust stability theory.

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