Improving the numerical stability of the Sakurai-Sugiura method for quadratic eigenvalue problems

DOI10.14495/jsiaml.9.17OpenAlexW2589361075MaRDI QIDQ3121476

Françoise Tisseur, Yasuyuki Maeda, Hongjia Chen, Akira Imakura, Tetsuya Sakurai

Publication date: 18 March 2019

Published in: JSIAM Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14495/jsiaml.9.17

zbMATH Keywords

quadratic eigenvalue problembackward errorSS-RR method

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

Related Items (3)

New backward error bounds of Rayleigh–Ritz projection methods for quadratic eigenvalue problem ⋮ The infinite Lanczos method for symmetric nonlinear eigenvalue problems ⋮ Backward error analysis of linearizing-balancing strategies for heavily damped quadratic eigenvalue problem

Uses Software

• NLEVP
• quadeig

Cites Work

• A projection method for generalized eigenvalue problems using numerical integration.
• Backward error and condition of polynomial eigenvalue problems
• The Quadratic Eigenvalue Problem
• A Backward Stable Algorithm for Quadratic Eigenvalue Problems
• A projection method for nonlinear eigenvalue problems using contour integrals
• NLEVP
• An algorithm for the complete solution of quadratic eigenvalue problems
• Tropical Scaling of Polynomial Matrices
• Backward Error of Polynomial Eigenproblems Solved by Linearization
• Scaling, sensitivity and stability in the numerical solution of quadratic eigenvalue problems
• Normwise Scaling of Second Order Polynomial Matrices

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