Generalized Subdifferentials of Spectral Functions over Euclidean Jordan Algebras
DOI10.1137/19M1245001zbMath1456.49018arXiv1902.05270OpenAlexW2914023361MaRDI QIDQ5148401
Akiko Takeda, Bruno F. Lourenço
Publication date: 4 February 2021
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.05270
spectral functionsgeneralized subdifferentialEuclidean Jordan algebraKurdyka-Łojasiewicz inequalityapproximate subdifferential
Numerical optimization and variational techniques (65K10) Nonsmooth analysis (49J52) Methods involving semicontinuity and convergence; relaxation (49J45) Finite-dimensional structures of Jordan algebras (17C55)
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Cites Work
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- Spectral cones in Euclidean Jordan algebras
- Spectral sets and functions on Euclidean Jordan algebras
- Analysis of nonsmooth vector-valued functions associated with second-order cones.
- Clarke generalized Jacobian of the projection onto symmetric cones
- Convexity and differentiability properties of spectral functions and spectral mappings on Euclidean Jordan algebras
- Nonsmooth analysis of eigenvalues
- DC formulations and algorithms for sparse optimization problems
- Calculus of the exponent of Kurdyka-Łojasiewicz inequality and its applications to linear convergence of first-order methods
- Positive and doubly stochastic maps, and majorization in Euclidean Jordan algebras
- Nonsmooth analysis of singular values. II: Applications
- Smoothing Functions for Second-Order-Cone Complementarity Problems
- Commutation Principle for Variational Problems on Euclidean Jordan Algebras
- Löwner's Operator and Spectral Functions in Euclidean Jordan Algebras
- Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality
- Several Jordan-algebraic aspects of optimization†
- Nonsmooth Analysis of Lorentz Invariant Functions
- Variational Analysis
- Derivatives of Spectral Functions
- Convex Analysis on the Hermitian Matrices
- Commutation Principles in Euclidean Jordan Algebras and Normal Decomposition Systems
- Inequalities: theory of majorization and its applications
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