Spectral approximation for polynomial eigenvalue problems

DOI10.1016/j.camwa.2018.06.007zbMath1427.65412OpenAlexW2809275047MaRDI QIDQ2338360

Yan Xu, J. J. W. van der Vegt, Zhongjie Lu

Publication date: 21 November 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.06.007

zbMATH Keywords

essential spectrumspectral approximationrelatively compact perturbationpolynomial eigenvalue problems

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical methods for integral transforms (65R10) Numerical solutions to equations with linear operators (65J10)

Uses Software

• JDQR
• NLEVP
• JDQZ

Cites Work

• Unnamed Item
• Rational eigenvalue problems and applications to photonic crystals
• How many numerical eigenvalues can we trust?
• The local and global parts of the basic zeta coefficient for operators on manifolds with boundary
• The Quadratic Eigenvalue Problem
• Finite element approximation of eigenvalue problems
• NLEVP
• Spectral Approximation for Compact Operators
• On spectral approximation. Part 1. The problem of convergence
• Finite Element Analysis of a Quadratic Eigenvalue Problem Arising in Dissipative Acoustics
• Templates for the Solution of Algebraic Eigenvalue Problems