A matrix-less and parallel interpolation–extrapolation algorithm for computing the eigenvalues of preconditioned banded symmetric Toeplitz matrices
Author:
Funder
Istituto Nazionale di Alta Matematica ”Francesco Severi”
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s11075-018-0508-0.pdf
Reference20 articles.
1. Ahmad, F., Al-Aidarous, E.S., Alrehaili, D.A., Ekström, S.-E., Furci, I., Serra-Capizzano, S.: Are the eigenvalues of preconditioned banded symmetric Toeplitz matrices known in almost closed form? Numer. Alg. (in press). https://doi.org/10.1007/s11075-017-0404-z
2. Arbenz, P.: Computing the eigenvalues of banded symmetric Toeplitz matrices. SIAM J. Sci. Stat. Comput. 12, 743–754 (1991)
3. Badía, J.M., Vidal, A.M.: Parallel algorithms to compute the eigenvalues and eigenvectors of symmetric Toeplitz matrices. Parallel Algorithms Appl. 13, 75–93 (2000)
4. Bini, D., Di Benedetto, F: Solving the generalized eigenvalue problem for rational Toeplitz matrices. SIAM J. Matrix Anal. Appl. 11, 537–552 (1990)
5. Bini, D., Pan, V: Efficient algorithms for the evaluation of the eigenvalues of (block) banded Toeplitz matrices. Math. Comput. 50, 431–448 (1988)
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