Differential properties of the spectral abscissa and the spectral radius for analytic matrix-valued mappings

DOI10.1016/0362-546X(94)90090-6zbMath0815.47007OpenAlexW2036881208MaRDI QIDQ4316978

Michael L. Overton, James V. Burke

Publication date: 19 December 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)90090-6

zbMATH Keywords

Puiseux-Newton diagramspectral radius functionsanalytic matrix-valued mapping

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items

Stability analysis of systems with stochastically varying delays ⋮ Variational analysis of convexly generated spectral max functions ⋮ Pareto optimal structures producing resonances of minimal decay under \(L^1\)-type constraints ⋮ An SL/QP Algorithm for Minimizing the Spectral Abscissa of Time Delay Systems ⋮ Worst‐case stability and performance with mixed parametric and dynamic uncertainties ⋮ Minimizing memory effects of a system ⋮ Nonsmooth analysis on smooth manifolds ⋮ Nonsmooth bundle trust-region algorithm with applications to robust stability

Cites Work

• Analytic perturbation theory for matrices and operators. Licensed ed
• Recent directions in matrix stability
• Stable perturbations of nonsymmetric matrices
• Remarks on the perturbation of analytic matrix functions. III
• Calculus of Dini subdifferentials of functions and contingent coderivatives of set-valued maps
• Extensions of subgradient calculus with applications to optimization
• THE BOUNDARY OF A SET OF STABLE MATRICES
• Structured and simultaneous Lyapunov functions for system stability problems
• On Minimizing the Special Radius of a Nonsymmetric Matrix Function: Optimality Conditions and Duality Theory
• ON MATRICES DEPENDING ON PARAMETERS
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