Conservation of the numbers of characteristic values of polynomial and entire matrix pencils inside and outside a circle under perturbations
From MaRDI portal
Publication:4985418
DOI10.1142/S1793557120500977OpenAlexW2912046967MaRDI QIDQ4985418
Publication date: 23 April 2021
Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793557120500977
Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Eigenvalue problems for linear operators (47A75) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bounds for eigenvalues of matrix polynomials with applications to scalar polynomials
- A primer of Perron--Frobenius theory for matrix polynomials
- Asymptotes of singular values of entire matrix-valued sine-type functions
- An introduction to operator polynomials
- On the perturbation of analytic matrix functions
- On bounds for spectra of operator pencils in a Hilbert space
- Stability of delay differential equations via delayed matrix sine and cosine of polynomial degrees
- Remarks on the perturbation of analytic matrix functions. III
- Meromorphic functions and linear algebra
- Stabilisation of matrix polynomials
- The C-numerical range of perturbations matrix polynomials
- Spectral Bounds for Matrix Polynomials with Unitary Coefficients
- On the Stability Radius of Matrix Polynomials
- On perturbations of matrix pencils with real spectra, a revisit
- BOUNDS FOR THE SPECTRUM OF ANALYTIC QUASINORMAL OPERATOR PENCILS
- Matrix Polynomials, Similar Operators, and the Imaginary Axis Eigenvalues of a Matrix Delay Equation
- Operator Functions and Operator Equations
- Intermediate Hamiltonian via Glazman's splitting and analytic perturbation for meromorphic matrix‐functions
This page was built for publication: Conservation of the numbers of characteristic values of polynomial and entire matrix pencils inside and outside a circle under perturbations