Spectral (isotropic) manifolds and their dimension

DOI10.1007/s11854-016-0013-0zbMath1337.53010OpenAlexW2290543689MaRDI QIDQ279771

Aris Daniilidis, Hristo S. Sendov, Jérôme Malick

Publication date: 29 April 2016

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-016-0013-0

zbMATH Keywords

locally symmetric submanifoldsspectral mappingvector of eigenvalues

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items

A Unified Approach to Spectral and Isotropic Functions, The inverse eigenvalue problem of a graph: multiplicities and minors, Spectral Operators of Matrices: Semismoothness and Characterizations of the Generalized Jacobian

Uses Software

• LMIRank

Cites Work

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• A Newton-like method for solving rank constrained linear matrix inequalities
• The higher-order derivatives of spectral functions
• On the \(C^\infty\) Chevalley's theorem
• On the differentiability of O(n) invariant functions of symmetric matrices
• On analyticity of functions involving eigenvalues
• Sensitivity analysis of all eigenvalues of a symmetric matrix
• Nonsmooth analysis of eigenvalues
• Differentiability properties of isotropic functions
• Optimization and dynamical systems
• Twice Differentiable Spectral Functions
• Orthogonal Invariance and Identifiability
• Designing structured tight frames via an alternating projection method
• Derivatives of Spectral Functions
• Prox-regular functions in variational analysis