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A framework for deflated and augmented Krylov subspace methods, jointly with A. Gaul, M. Gutknecht, and J. Liesen
Multilevel methods, C.B.S. constants and spectral equivalence, jointly with F. Goßler
Deflation and Projection Methods applied to positive semidefinite systems, jointly with E. Ludwig, and J. Tang

Publikationen

Erlangga, Yogi A. and Nabben, Reinhard (2009). Algebraic multilevel Krylov methods. SIAM J. Sci. Comput., 3417–3437.

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Erlangga, Yogi A. and Nabben, Reinhard (2008). Multilevel projection-based nested Krylov iteration for boundary value problems. SIAM J. Sci. Comput., 1572–1595.

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Nabben, R. and Vuik, C. (2006). A comparison of deflation and the balancing preconditioner. SIAM J. Sci. Comput., 1742–1759 (electronic).

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Nabben, R. and Vuik, C. (2004). A comparison of deflation and coarse grid correction applied to porous media flow. SIAM J. Numer. Anal., 1631–1647 (electronic).

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Nabben, Reinhard and Szyld, Daniel B. (2002). Convergence theory of restricted multiplicative Schwarz methods. SIAM J. Numer. Anal., 2318–2336 (electronic) (2003).

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Tang, J. M. and MacLachlan, S. P. and Nabben, R. and Vuik, C. (2009/10). A comparison of two-level preconditioners based on multigrid and deflation. SIAM J. Matrix Anal. Appl., 1715–1739.

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Frommer, Andreas and Nabben, Reinhard and Szyld, Daniel B. (2008). Convergence of stationary iterative methods for Hermitian semidefinite linear systems and applications to Schwarz methods. SIAM J. Matrix Anal. Appl., 925–938.

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Erlangga, Yogi A. and Nabben, Reinhard (2008). Deflation and balancing preconditioners for Krylov subspace methods applied to nonsymmetric matrices. SIAM J. Matrix Anal. Appl., 684–699.

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Nabben, Reinhard and Szyld, Daniel B. (2006/07). Schwarz iterations for symmetric positive semidefinite problems. SIAM J. Matrix Anal. Appl., 98–116 (electronic).

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Nabben, Reinhard (2001). On Green's matrices of trees. SIAM J. Matrix Anal. Appl., 1014–1026 (electronic).

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Nabben, Reinhard (2000). Improved upper bounds for the real part of nonmaximal eigenvalues of nonnegative matrices. SIAM J. Matrix Anal. Appl., 574–579 (electronic).

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Nabben, Reinhard (1999). Decay rates of the inverse of nonsymmetric tridiagonal and band matrices. SIAM J. Matrix Anal. Appl., 820–837 (electronic).

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Benzi, Michele and Frommer, Andreas and Nabben, Reinhard and Szyld, Daniel B. (2001). Algebraic theory of multiplicative Schwarz methods. Numer. Math., 605–639.


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