Pseudospectra, stability radii and their relationship with backward error for structured nonlinear eigenvalue problems
From MaRDI portal
Publication:6560040
DOI10.1002/MMA.9976MaRDI QIDQ6560040
Gyan Swarup Nag, Sk. Safique Ahmad
Publication date: 21 June 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
perturbation theorynonlinear eigenvalue problemskew-HermitianHermitianeigenvalue backward errorstructured mapping problem
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Stability radius of implicit dynamic equations with constant coefficients on time scales
- Stability radius for structured perturbations and the algebraic Riccati equation
- On backward errors of structured polynomial eigenproblems solved by structure preserving linearizations
- Eigenvalues, pseudospectrum and structured perturbations
- Pseudospectra and stability radii for analytic matrix functions with application to time-delay systems
- Stability radii of differential algebraic equations with structured perturbations
- On the computation of structured singular values and pseudospectra
- Stability radii of linear systems
- A note on the numerical solution of complex Hamiltonian and skew-Hamiltonian eigenvalue problems
- A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils
- Pseudospectra for matrix pencils and stability of equilibria
- Real and complex stability radii of polynomial matrices
- More on pseudospectra for polynomial eigenvalue problems and applications in control theory
- Polynomial eigenvalue problems with Hamiltonian structure
- Perturbation theory for homogeneous polynomial eigenvalue problems
- A note on structured pseudospectra.
- Structure-preserving methods for computing eigenpairs of large sparse skew-Hamiltonian/Hamiltonian pencils
- Structured pseudospectra for polynomial eigenvalue problems, with applications
- The quadratic eigenvalue problem
- Backward errors and pseudospectra for structured nonlinear eigenvalue problems
- Structured eigenvalue backward errors of matrix pencils and polynomials with Hermitian and related structures
- On Pseudospectra, Critical Points, and Multiple Eigenvalues of Matrix Pencils
- μ-Values and Spectral Value Sets for Linear Perturbation Classes Defined by a Scalar Product
- Robust stability of linear systems described by higher-order dynamic equations
- Mathematical Systems Theory I
- NLEVP
- Structured Mapping Problems for Matrices Associated with Scalar Products. Part I: Lie and Jordan Algebras
- Structured Backward Errors and Pseudospectra of Structured Matrix Pencils
- A Chart of Numerical Methods for Structured Eigenvalue Problems
- Structured Backward Error and Condition of Generalized Eigenvalue Problems
- Generalized Epsilon-Pseudospectra
- An eigenvalue based approach for the robust stabilization of linear time-delay systems
- Numerical Solution of Quadratic Eigenvalue Problems with Structure-Preserving Methods
- The nonlinear eigenvalue problem
- Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods
- Robust Stability of Differential-Algebraic Equations
- Structured Eigenvalue Backward Errors of Matrix Pencils and Polynomials with Palindromic Structures
- Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations
- Structured Eigenvalue Condition Numbers
- Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
- Modern Error Analysis
- On the Theory of Automorphic Functions of a Matrix Variable I-Geometrical Basis
This page was built for publication: Pseudospectra, stability radii and their relationship with backward error for structured nonlinear eigenvalue problems
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6560040)