Reinhard Nabben
Reinhard Nabben
Professor der Mathemtik, TU Berlin
Verified email at math.tu-berlin.de
TitleCited byYear
Comparison of two-level preconditioners derived from deflation, domain decomposition and multigrid methods
JM Tang, R Nabben, C Vuik, YA Erlangga
Journal of scientific computing 39 (3), 340-370, 2009
1132009
A comparison of deflation and coarse grid correction applied to porous media flow
R Nabben, C Vuik
SIAM Journal on Numerical Analysis 42 (4), 1631-1647, 2004
1062004
Algebraic theory of multiplicative Schwarz methods
M Benzi, A Frommer, R Nabben, DB Szyld
Numerische Mathematik 89 (4), 605-639, 2001
982001
A comparison of deflation and the balancing preconditioner
R Nabben, C Vuik
SIAM Journal on Scientific Computing 27 (5), 1742-1759, 2006
852006
A note on comparison theorems for splittings and multisplittings of Hermitian positive definite matrices
R Nabben
Linear Algebra and its Applications 233, 67-80, 1996
841996
A linear algebra proof that the inverse of a strictly ultrametric matrix is a strictly diagonally dominant Stieltjes matrix
R Nabben, RS Varga
SIAM Journal on Matrix Analysis and Applications 15 (1), 107-113, 1994
771994
Decay rates of the inverse of nonsymmetric tridiagonal and band matrices
R Nabben
SIAM Journal on Matrix Analysis and Applications 20 (3), 820-837, 1999
751999
On a multilevel Krylov method for the Helmholtz equation preconditioned by shifted Laplacian
YA Erlangga, R Nabben
Electronic Transactions on Numerical Analysis 31 (403-424), 3, 2008
702008
A framework for deflated and augmented Krylov subspace methods
A Gaul, MH Gutknecht, J Liesen, R Nabben
SIAM Journal on Matrix Analysis and Applications 34 (2), 495-518, 2013
602013
A comparison of two-level preconditioners based on multigrid and deflation
JM Tang, SP MacLachlan, R Nabben, C Vuik
SIAM Journal on Matrix Analysis and Applications 31 (4), 1715-1739, 2010
582010
Deflation and balancing preconditioners for Krylov subspace methods applied to nonsymmetric matrices
YA Erlangga, R Nabben
SIAM Journal on Matrix Analysis and Applications 30 (2), 684-699, 2008
572008
Multilevel projection-based nested Krylov iteration for boundary value problems
YA Erlangga, R Nabben
SIAM Journal on Scientific Computing 30 (3), 1572-1595, 2008
512008
Generalized ultrametric matrices—a class of inverse M-matrices
R Nabben, RS Varga
Linear Algebra and its Applications 220, 365-390, 1995
481995
Two-sided bounds on the inverses of diagonally dominant tridiagonal matrices
R Nabben
Linear Algebra and its Applications 287 (1-3), 289-305, 1999
471999
Orthogonal bases that lead to symmetric nonnegative matrices
L Elsner, R Nabben, M Neumann
Linear Algebra and its Applications 271 (1-3), 323-343, 1998
421998
A comparison of abstract versions of deflation, balancing and additive coarse grid correction preconditioners
R Nabben, C Vuik
Numerical Linear Algebra with Applications 15 (4), 355-372, 2008
362008
Convergence theory of restricted multiplicative Schwarz methods
R Nabben, DB Szyld
SIAM Journal on Numerical Analysis 40 (6), 2318-2336, 2002
312002
Comparisons between multiplicative and additive Schwarz iterations in domain decomposition methods
R Nabben
Numerische Mathematik 95 (1), 145-162, 2003
292003
On Green's matrices of trees
R Nabben
SIAM Journal on Matrix Analysis and Applications 22 (4), 1014-1026, 2001
242001
On symmetric ultrametric matrices
RS Varga, R Nabben
Numerical linear algebra, 193-199, 1993
241993
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Articles 1–20