On the conditioning for heavily damped quadratic eigenvalue problem solved by linearizations
Author:
Funder
national natural science foundation of china
natural science foundation of jiangxi province
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Engineering
Link
https://link.springer.com/content/pdf/10.1007/s13160-021-00492-w.pdf
Reference18 articles.
1. Tisseur, F., Meerbergen, K.: The quadratic eigenvalue problem. SIAM Rev. 43(2), 235–286 (2001)
2. Taslaman, L.: Strongly damped quadratic matrix polynomials. SIAM J. Matrix Anal. Appl. 36(2), 461–475 (2015)
3. Moler, C.B., Stewart, G.W.: An algorithm for generalized matrix eigenvalue problems. SIAM J. Numer. Anal. 10(2), 241–256 (1973)
4. Van Beeumen, R., Meerbergen, K., Michiels, W.: Compact rational Krylov methods for nonlinear eigenvalue problems. SIAM J. Matrix Anal. Appl. 36(2), 820–838 (2015)
5. Ruhe, A.: Rational Krylov: a practical algorithm for large sparse nonsymmetric matrix pencils. SIAM J. Sci. Comput. 19(5), 1535–1551 (1998)
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