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Eingereichte Arbeiten

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

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Andriyevskyy, Volodymyr and Eiermann, Michael and Freund, Roland and Li, Jing and Mehrmann, Volker and Nabben, Reinhard and Reichel, Lothar and Szyld, Daniel B. (2009/10). Special volume dedicated to Richard S. Varga on the occasion of his eightieth birthday [8]. Electron. Trans. Numer. Anal., vii.


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 [9]. SIAM J. Matrix Anal. Appl., 1715–1739.

Link to publication [10]

Erlangga, Yogi A. and Nabben, Reinhard (2009). Algebraic multilevel Krylov methods [11]. SIAM J. Sci. Comput., 3417–3437.

Link to publication [12]

Tang, J. M. and Nabben, R. and Vuik, C. and Erlangga, Y. A. (2009). Comparison of two-level preconditioners derived from deflation, domain decomposition and multigrid methods [13]. J. Sci. Comput., 340–370.

Link to publication [14]

Erlangga, Yogi A. and Nabben, Reinhard (2008). On a multilevel Krylov method for the Helmholtz equation preconditioned by shifted Laplacian [15]. Electron. Trans. Numer. Anal., 403–424.


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 [16]. Electron. Trans. Numer. Anal., xii–xiii.


Mense, Christian and Nabben, Reinhard (2008). On algebraic multilevel methods for non-symmetric systems–-convergence results [17]. Electron. Trans. Numer. Anal., 323–345.


Mense, C. and Nabben, R. (2008). On algebraic multi-level methods for non-symmetric systems–-comparison results [18]. Linear Algebra Appl., 2567–2588.

Link to publication [19]

Loisel, Sébastien and Nabben, Reinhard and Szyld, Daniel B. (2008). On hybrid multigrid-Schwarz algorithms [20]. J. Sci. Comput., 165–175.

Link to publication [21]

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 [22]. SIAM J. Matrix Anal. Appl., 925–938.

Link to publication [23]

Erlangga, Yogi A. and Nabben, Reinhard (2008). Deflation and balancing preconditioners for Krylov subspace methods applied to nonsymmetric matrices [24]. SIAM J. Matrix Anal. Appl., 684–699.

Link to publication [25]

Nabben, R. and Vuik, C. (2008). A comparison of abstract versions of deflation, balancing and additive coarse grid correction preconditioners [26]. Numer. Linear Algebra Appl., 355–372.

Link to publication [27]

Erlangga, Yogi A. and Nabben, Reinhard (2008). Multilevel projection-based nested Krylov iteration for boundary value problems [28]. SIAM J. Sci. Comput., 1572–1595.

Link to publication [29]

Mehrmann, Volker and Nabben, Reinhard and Virnik, Elena (2008). Generalisation of the Perron-Frobenius theory to matrix pencils [30]. Linear Algebra Appl., 20–38.

Link to publication [31]

Nabben, Reinhard (2007). On relationships between several classes of $Z$-matrices, $M$-matrices and nonnegative matrices [32]. Linear Algebra Appl., 417–439.

Link to publication [33]

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