New backward error bounds of Rayleigh–Ritz projection methods for quadratic eigenvalue problem

DOI10.1080/03081087.2022.2160946MaRDI QIDQ6198698

Mei Feng, Xiang Wang, Teng Wang, Hongjia Chen

Publication date: 23 February 2024

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

zbMATH Keywords

linearizationquadratic eigenvalue problembackward errorRayleigh-Ritz projection

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Cites Work

• Backward error and condition of polynomial eigenvalue problems
• A projection method for nonlinear eigenvalue problems using contour integrals
• Improving the numerical stability of the Sakurai-Sugiura method for quadratic eigenvalue problems
• NLEVP
• Backward Error of Polynomial Eigenproblems Solved by Linearization
• Backward error analysis for linearizations in heavily damped quadratic eigenvalue problem
• SOAR: A Second-order Arnoldi Method for the Solution of the Quadratic Eigenvalue Problem
• An Algorithm for Generalized Matrix Eigenvalue Problems

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