Solving the quadratic eigenvalue problem expressed in non-monomial bases by the tropical scaling

• Published in: Advances in computational mathematics Vol. 50; no. 6
• Main Authors: Chen, Hongjia, Wang, Teng, Zhang, Chun-Hua, Wang, Xiang
• Format: Journal Article
• Language: English
• Published: New York Springer Nature B.V 01.12.2024
• Subjects: Eigenvalues; Error analysis; Linearization; Scaling; Upper bounds

In this paper, we consider the quadratic eigenvalue problem (QEP) expressed in various commonly used bases, including Taylor, Newton, and Lagrange bases. We propose to investigate the backward errors of the computed eigenpairs and condition numbers of eigenvalues for QEP solved by a class of block K...