Analysis of Symmetric Matrix Valued Functions
DOI10.1080/01630560701380999zbMath1129.15023OpenAlexW2070933524MaRDI QIDQ5297956
Publication date: 16 July 2007
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630560701380999
Fréchet differentiabilityeigenvaluessymmetric functionspectral functionspectral decompositionLipschitz continuitycontinuous differentiabilitydirectional differentiabilitysymmetric matrix valued function
Symmetric functions and generalizations (05E05) Eigenvalues, singular values, and eigenvectors (15A18) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Matrices over function rings in one or more variables (15A54)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- First- and second-order epi-differentiability in eigenvalue optimization
- On analyticity of functions involving eigenvalues
- Non-interior continuation methods for solving semidefinite complementarity problems
- A nonsmooth version of Newton's method
- Twice Differentiable Spectral Functions
- Matrix Analysis
- Semismooth and Semiconvex Functions in Constrained Optimization
- Variational Analysis
- Analysis of Nonsmooth Symmetric-Matrix-Valued Functions with Applications to Semidefinite Complementarity Problems
- Strong Semismoothness of Eigenvalues of Symmetric Matrices and Its Application to Inverse Eigenvalue Problems
- Semismoothness of Spectral Functions
- Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations
- Derivatives of Spectral Functions
- Semidefinite Programs: New Search Directions, Smoothing-Type Methods, and Numerical Results
- Convex Analysis on the Hermitian Matrices
- Semismooth Matrix-Valued Functions
- Second-order directional derivatives of all eigenvalues of a symmetric matrix
This page was built for publication: Analysis of Symmetric Matrix Valued Functions