Partial Smoothness of the Numerical Radius at Matrices Whose Fields of Values are Disks
From MaRDI portal
Publication:5146608
DOI10.1137/18M1236289zbMath1456.49017arXiv1901.00050OpenAlexW3042397500MaRDI QIDQ5146608
Michael L. Overton, Adrian S. Lewis
Publication date: 26 January 2021
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.00050
Nonsmooth analysis (49J52) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)
Related Items
Factorization of Singular Matrix Polynomials and Matrices with Circular Higher Rank Numerical Ranges ⋮ Convergence Rate Analysis and Improved Iterations for Numerical Radius Computation ⋮ An experimental comparison of methods for computing the numerical radius
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimality, identifiability, and sensitivity
- Geometric computation of the numerical radius of a matrix
- Survey on the state of systems and control
- Numerical range and accretivity of operator products
- Circularity of the numerical range
- On analyticity of functions involving eigenvalues
- Bounds for analytical functions of matrices
- The nearest definite pair for the Hermitian generalized eigenvalue problem
- Numerical investigation of Crouzeix's conjecture
- Variational analysis of the Crouzeix ratio
- An elementary proof of the power inequality for the numerical radius
- The powers of an operator of numerical radius one
- Some Constants Related to Numerical Ranges
- Handbook of Linear Algebra
- Best Approximation in Numerical Radius
- Generic Optimality Conditions for Semialgebraic Convex Programs
- Semi-Inner-Product Spaces
- Inequalities relating unitarily invariant norms and the numerical radius
- Matrix Completions, Norms, and Hadamard Products
- C-numerical ranges andC-numerical radii
- Variational Analysis
- Active Sets, Nonsmoothness, and Sensitivity
- Grassmannian, central projection, and output feedback pole assignment of linear systems
- Partial Smoothness, Tilt Stability, and Generalized Hessians
- The Numerical Range is a $(1+\sqrt{2})$-Spectral Set
- Difference schemes for hyperbolic equations with high order of accuracy
- Algorithms for the computation of the pseudospectral radius and the numerical radius of a matrix
- Über den Wertevorrat einer Matrix