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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

Mehrmann, Volker and Nabben, Reinhard and Virnik, Elena (2008). Generalisation of the Perron-Frobenius theory to matrix pencils. Linear Algebra Appl., 20–38.

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McDonald, J. J. and Nabben, R. and Neumann, M. and Schneider, H. and Tsatsomeros, M. J. (1998). Inverse tridiagonal $Z$-matrices. Linear and Multilinear Algebra, 75–97.

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Luce, R. and Nabben, R. and Duintjer Tebbens, J. and Groetschel, M. and Koch, T. and Liesen, J. and Schenk, O. (2009). On the Factorization of Simplex Basis Matrices.


Loisel, Sébastien and Nabben, Reinhard and Szyld, Daniel B. (2008). On hybrid multigrid-Schwarz algorithms. J. Sci. Comput., 165–175.

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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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Frommer, A. and Nabben, R. and Szyld, D. B. (2002). An algebraic convergence theory for restricted additive and multiplicative Schwarz methods. Domain decomposition methods in science and engineering (Lyon, 2000). Internat. Center Numer. Methods Eng. (CIMNE), Barcelona, 371–377.


Frommer, A. and Nabben, R. Szyld, D.B. (). Restricted Additive and Multiplicative Schwarz Methods. Proceedings of the 13th International Conference on Domain Decomposition in Lyon, France, 369-375.


Friedland, Shmuel and Nabben, Reinhard (2002). On Cheeger-type inequalities for weighted graphs. J. Graph Theory, 1–17.

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Friedland, Shmuel and Nabben, Reinhard (1997). On the second real eigenvalue of nonnegative and $Z$-matrices. Linear Algebra Appl., 303–313.

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Ernst, Oliver and Greenbaum, Anne and Gutknecht, Martin and Kressner, Daniel and Nabben, Reinhard and Strakovs, Zdenvek (2008). Special volume on Computational Methods with Applications. Electron. Trans. Numer. Anal., xii–xiii.


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). On a multilevel Krylov method for the Helmholtz equation preconditioned by shifted Laplacian. Electron. Trans. Numer. Anal., 403–424.


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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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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Elsner, Ludwig and Frommer, Andreas and Nabben, Reinhard and Schneider, Hans and Szyld, Daniel B. (2003). Conditions for strict inequality in comparisons of spectral radii of splittings of different matrices. Linear Algebra Appl., 65–80.

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