Bounds for eigenvalues of matrix polynomials with applications to scalar polynomials

Author:

Melman A.

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference15 articles.

1. NLEVP: a collection of nonlinear eigenvalue problems;Betcke;ACM Trans. Math. Software,2013

2. Locating the eigenvalues of matrix polynomials;Bini;SIAM J. Matrix Anal. Appl.,2013

3. Sur la résolution des équations numériques et sur la théorie de l'élimination;Cauchy,1829

4. Analysis of parameterized quadratic eigenvalue problems in computational acoustics with homotopic deviation theory;Chaitin-Chatelin;Numer. Linear Algebra Appl.,2006

5. Iterative system solvers for the frequency analysis of linear mechanical systems;Feriani;Comput. Methods Appl. Mech. Engrg.,2000

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1. An efficient approximation to the Cauchy radius;Numerical Algorithms;2023-08-09

2. Annulus containing all the eigenvalues of a matrix polynomial;Indian Journal of Pure and Applied Mathematics;2022-02-03

3. Polynomial eigenvalue estimation: numerical radii versus norms;Linear and Multilinear Algebra;2021-11-29

4. Directional bounds for polynomial zeros and eigenvalues;Journal of Mathematical Analysis and Applications;2020-02

5. Conservation of the numbers of characteristic values of polynomial and entire matrix pencils inside and outside a circle under perturbations;Asian-European Journal of Mathematics;2019-04-04

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