Reinhard Nabben

Publication Activity (10 Years)

Years Active: 1994-2023
Publications (10 Years): 7

Top Topics

Graph Representations

Projection Matrices

Top Venues

SIAM J. Matrix Anal. Appl.

J. Comput. Phys.

Publications

Dominik Raabe, Reinhard Nabben, Daniel Memmert
Graph representations for the analysis of multi-agent spatiotemporal sports data. Appl. Intell. 53 (4) (2023)
Luis García Ramos, Reinhard Nabben
A two-level shifted Laplace preconditioner for Helmholtz problems: Field-of-values analysis and wavenumber-independent convergence. CoRR (2020)
Luis García Ramos, René Kehl, Reinhard Nabben
Projections, Deflation, and Multigrid for Nonsymmetric Matrices. SIAM J. Matrix Anal. Appl. 41 (1) (2020)
Luis García Ramos, Reinhard Nabben
On Optimal Algebraic Multigrid Methods. CoRR (2019)
L. Garcia Ramos, Reinhard Nabben
On the Spectrum of Deflated Matrices with Applications to the Deflated Shifted Laplace Preconditioner for the Helmholtz Equation. SIAM J. Matrix Anal. Appl. 39 (1) (2018)
Yogi A. Erlangga, Reinhard Nabben
On the convergence of two-level Krylov methods for singular symmetric systems. Numer. Linear Algebra Appl. 24 (6) (2017)
A. H. Sheikh, Domenico Lahaye, L. Garcia Ramos, Reinhard Nabben, Cornelis Vuik
Accelerating the shifted Laplace preconditioner for the Helmholtz equation by multilevel deflation. J. Comput. Phys. 322 (2016)
André Gaul, Martin H. Gutknecht, Jörg Liesen, Reinhard Nabben
A Framework for Deflated and Augmented Krylov Subspace Methods. SIAM J. Matrix Anal. Appl. 34 (2) (2013)
Jok Man Tang, Scott P. MacLachlan, Reinhard Nabben, Cornelis Vuik
A Comparison of Two-Level Preconditioners Based on Multigrid and Deflation. SIAM J. Matrix Anal. Appl. 31 (4) (2010)
Jok Man Tang, Reinhard Nabben, Cornelis Vuik, Yogi A. Erlangga
Comparison of Two-Level Preconditioners Derived from Deflation, Domain Decomposition and Multigrid Methods. J. Sci. Comput. 39 (3) (2009)
Yogi A. Erlangga, Reinhard Nabben
Algebraic Multilevel Krylov Methods. SIAM J. Sci. Comput. 31 (5) (2009)
Yogi A. Erlangga, Reinhard Nabben
Deflation and Balancing Preconditioners for Krylov Subspace Methods Applied to Nonsymmetric Matrices. SIAM J. Matrix Anal. Appl. 30 (2) (2008)
Reinhard Nabben, Cornelis Vuik
A comparison of abstract versions of deflation, balancing and additive coarse grid correction preconditioners. Numer. Linear Algebra Appl. 15 (4) (2008)
Andreas Frommer, Reinhard Nabben, Daniel B. Szyld
Convergence of Stationary Iterative Methods for Hermitian Semidefinite Linear Systems and Applications to Schwarz Methods. SIAM J. Matrix Anal. Appl. 30 (2) (2008)
Sébastien Loisel, Reinhard Nabben, Daniel B. Szyld
On Hybrid Multigrid-Schwarz Algorithms. J. Sci. Comput. 36 (2) (2008)
Yogi A. Erlangga, Reinhard Nabben
Multilevel Projection-Based Nested Krylov Iteration for Boundary Value Problems. SIAM J. Sci. Comput. 30 (3) (2008)
Reinhard Nabben, Daniel B. Szyld
Schwarz Iterations for Symmetric Positive Semidefinite Problems. SIAM J. Matrix Anal. Appl. 29 (1) (2006)
Reinhard Nabben, Cornelis Vuik
A Comparison of Deflation and the Balancing Preconditioner. SIAM J. Sci. Comput. 27 (5) (2006)
Reinhard Nabben, Cornelis Vuik
A Comparison of Deflation and Coarse Grid Correction Applied to Porous Media Flow. SIAM J. Numer. Anal. 42 (4) (2004)
Reinhard Nabben
Comparisons between multiplicative and additive Schwarz iterations in domain decomposition methods. Numerische Mathematik 95 (1) (2003)
Reinhard Nabben, Daniel B. Szyld
Convergence Theory of Restricted Multiplicative Schwarz Methods. SIAM J. Numer. Anal. 40 (6) (2002)
Shmuel Friedland, Reinhard Nabben
On Cheeger-type inequalities for weighted graphs. J. Graph Theory 41 (1) (2002)
Michele Benzi, Andreas Frommer, Reinhard Nabben, Daniel B. Szyld
Algebraic theory of multiplicative Schwarz methods. Numerische Mathematik 89 (4) (2001)
Reinhard Nabben
On Green's Matrices of Trees. SIAM J. Matrix Anal. Appl. 22 (4) (2001)
Reinhard Nabben
Improved Upper Bounds for the Real Part of Nonmaximal Eigenvalues of Nonnegative Matrices. SIAM J. Matrix Anal. Appl. 22 (2) (2000)
Reinhard Nabben
Decay Rates of the Inverse of Nonsymmetric Tridiagonal and Band Matrices. SIAM J. Matrix Anal. Appl. 20 (3) (1999)
Reinhard Nabben
Book Review: Matrices of Sign-Solvable Linear Systems by R. A. Brualdi and B. L. Shader. Cambridge University Press, 1995, Cambridge, ISBN: 0 521 48296 8 (hardback) Price #30.00 (US$ 49.95). Numer. Linear Algebra Appl. 4 (5) (1997)
Reinhard Nabben, Richard S. Varga
A Linear Algebra Proof that the Inverse of a Strictly Ultrametric Matrix is a Strictly Diagonally Dominant Stieltjes Matrix. SIAM J. Matrix Anal. Appl. 15 (1) (1994)