On the subdifferential regularity of max root functions for polynomials

DOI10.1016/j.na.2011.01.021zbMath1236.49078OpenAlexW1999954852MaRDI QIDQ654060

Julia Eaton, James V. Burke

Publication date: 21 December 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.01.021

zbMATH Keywords

spectral radiusspectral abscissamax polynomial root functionspolynomial root functionssubdifferential regularity

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Regularity of solutions in optimal control (49N60)

Related Items (2)

Polynomial root radius optimization with affine constraints ⋮ Variational analysis of convexly generated spectral max functions

Cites Work

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• On singularities of the boundary of a stability region
• Variational analysis of the abscissa mapping for polynomials via the Gauss-Lucas theorem
• Variational analysis of functions of the roots of polynomials
• Variational Analysis of the Abscissa Mapping for Polynomials
• Optimizing matrix stability
• Variational Analysis
• A Generalization of a Theorem of Bôcher

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