Prescribing the behavior of early terminating GMRES and Arnoldi iterations
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s11075-013-9695-x.pdf
Reference18 articles.
1. Arioli, M., Pták, V., Strakoš, Z.: Krylov sequences of maximal length and convergence of GMRES. BIT 38(4), 636–643 (1998)
2. Arnoldi, W.E.: The principle of minimized iteration in the solution of the matrix eigenvalue problem. Quart. Appl. Math. 9, 17–29 (1951)
3. Beattie, C.A., Embree, M., Sorensen, D.C.: Convergence of polynomial restart Krylov methods for eigenvalue computations. SIAM Rev. 47(3), 492–515 (2005)
4. Brown, P.N.: A theoretical comparison of the Arnoldi and GMRES algorithms. SIAM J. Sci. Stat. Comput. 12(1), 58–78 (1991)
5. Duintjer Tebbens, J., Meurant, G.: Any ritz value behavior is possible for Arnoldi and for GMRES. SIAM J. Matrix Anal. Appl. 33(3), 958–978 (2012)
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