Geometric computation of the numerical radius of a matrix

DOI10.1007/s11075-009-9276-1zbMath1178.65041OpenAlexW2150685691MaRDI QIDQ1039275

Frank Uhlig

Publication date: 27 November 2009

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-009-9276-1

zbMATH Keywords

numerical examplesdiscrete dynamical systemnumerical radiusgeometric computationMATLAB codeHermitean matrix eigenvalue/eigenvector evaluations

Mathematics Subject Classification ID

Related Items (11)

Convergence Rate Analysis and Improved Iterations for Numerical Radius Computation ⋮ Bounds for \(\mathbb{A} \)-numerical radius based on an extension of \(A\)-Buzano inequality ⋮ An extension of the \(a\)-numerical radius on \(C^\ast\)-algebras ⋮ On computing the generalized Crawford number of a matrix ⋮ Variational Characterization of Monotone Nonlinear Eigenvector Problems and Geometry of Self-Consistent Field Iteration ⋮ An experimental comparison of methods for computing the numerical radius ⋮ Eigenvalue characterization of some structured matrix pencils under linear perturbation ⋮ Numerical radius for the asymptotic stability of delay differential equations ⋮ On Numerical Radius Inequalities for Operator Matrices ⋮ Partial Smoothness of the Numerical Radius at Matrices Whose Fields of Values are Disks ⋮ A Subspace Method for Large-Scale Eigenvalue Optimization

Uses Software

• Matlab
• Chebfun

Cites Work

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• Geometry of the numerical range of matrices
• Differential topology of numerical range
• Detecting a definite Hermitian pair and a hyperbolic or elliptic quadratic eigenvalue problem, and associated nearness problems
• Computing the numerical radius
• Numerical Determination of the Field of Values of a General Complex Matrix
• An algorithm for computing the numerical radius
• Algorithms for the computation of the pseudospectral radius and the numerical radius of a matrix

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