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Reinhard Nabben

According to our database1, Reinhard Nabben authored at least 28 papers between 1994 and 2023.

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Bibliography

2023
Graph representations for the analysis of multi-agent spatiotemporal sports data.
[BibTeX]
[DOI]
Dominik Raabe
,
Reinhard Nabben
,
Daniel Memmert
Appl. Intell., February, 2023

2020
Projections, Deflation, and Multigrid for Nonsymmetric Matrices.
[BibTeX]
[DOI]
Luis García Ramos
,
René Kehl
,
Reinhard Nabben
SIAM J. Matrix Anal. Appl., 2020

A two-level shifted Laplace preconditioner for Helmholtz problems: Field-of-values analysis and wavenumber-independent convergence.
[BibTeX]
[DOI]
Luis García Ramos
,
Reinhard Nabben
CoRR, 2020

2019
On Optimal Algebraic Multigrid Methods.
[BibTeX]
[DOI]
Luis García Ramos
,
Reinhard Nabben
CoRR, 2019

2018
On the Spectrum of Deflated Matrices with Applications to the Deflated Shifted Laplace Preconditioner for the Helmholtz Equation.
[BibTeX]
[DOI]
L. Garcia Ramos
,
Reinhard Nabben
SIAM J. Matrix Anal. Appl., 2018

2017
On the convergence of two-level Krylov methods for singular symmetric systems.
[BibTeX]
[DOI]
Yogi A. Erlangga
,
Reinhard Nabben
Numer. Linear Algebra Appl., 2017

2016
Accelerating the shifted Laplace preconditioner for the Helmholtz equation by multilevel deflation.
[BibTeX]
[DOI]
Abdul Hanan Sheikh
,
Domenico Lahaye
,
L. Garcia Ramos
,
Reinhard Nabben
,
Cornelis Vuik
J. Comput. Phys., 2016

2013
A Framework for Deflated and Augmented Krylov Subspace Methods.
[BibTeX]
[DOI]
André Gaul
,
Martin H. Gutknecht
,
Jörg Liesen
,
Reinhard Nabben
SIAM J. Matrix Anal. Appl., 2013

2010
A Comparison of Two-Level Preconditioners Based on Multigrid and Deflation.
[BibTeX]
[DOI]
Jok Man Tang
,
Scott P. MacLachlan
,
Reinhard Nabben
,
Cornelis Vuik
SIAM J. Matrix Anal. Appl., 2010

2009
Algebraic Multilevel Krylov Methods.
[BibTeX]
[DOI]
Yogi A. Erlangga
,
Reinhard Nabben
SIAM J. Sci. Comput., 2009

Comparison of Two-Level Preconditioners Derived from Deflation, Domain Decomposition and Multigrid Methods.
[BibTeX]
[DOI]
Jok Man Tang
,
Reinhard Nabben
,
Cornelis Vuik
,
Yogi A. Erlangga
J. Sci. Comput., 2009

2008
Multilevel Projection-Based Nested Krylov Iteration for Boundary Value Problems.
[BibTeX]
[DOI]
Yogi A. Erlangga
,
Reinhard Nabben
SIAM J. Sci. Comput., 2008

Convergence of Stationary Iterative Methods for Hermitian Semidefinite Linear Systems and Applications to Schwarz Methods.
[BibTeX]
[DOI]
Andreas Frommer
,
Reinhard Nabben
,
Daniel B. Szyld
SIAM J. Matrix Anal. Appl., 2008

Deflation and Balancing Preconditioners for Krylov Subspace Methods Applied to Nonsymmetric Matrices.
[BibTeX]
[DOI]
Yogi A. Erlangga
,
Reinhard Nabben
SIAM J. Matrix Anal. Appl., 2008

A comparison of abstract versions of deflation, balancing and additive coarse grid correction preconditioners.
[BibTeX]
[DOI]
Reinhard Nabben
,
Cornelis Vuik
Numer. Linear Algebra Appl., 2008

On Hybrid Multigrid-Schwarz Algorithms.
[BibTeX]
[DOI]
Sébastien Loisel
,
Reinhard Nabben
,
Daniel B. Szyld
J. Sci. Comput., 2008

2006
A Comparison of Deflation and the Balancing Preconditioner.
[BibTeX]
[DOI]
Reinhard Nabben
,
Cornelis Vuik
SIAM J. Sci. Comput., 2006

Schwarz Iterations for Symmetric Positive Semidefinite Problems.
[BibTeX]
[DOI]
Reinhard Nabben
,
Daniel B. Szyld
SIAM J. Matrix Anal. Appl., 2006

2004
A Comparison of Deflation and Coarse Grid Correction Applied to Porous Media Flow.
[BibTeX]
[DOI]
Reinhard Nabben
,
Cornelis Vuik
SIAM J. Numer. Anal., 2004

2003
Comparisons between multiplicative and additive Schwarz iterations in domain decomposition methods.
[BibTeX]
[DOI]
Reinhard Nabben
Numerische Mathematik, 2003

2002
Convergence Theory of Restricted Multiplicative Schwarz Methods.
[BibTeX]
[DOI]
Reinhard Nabben
,
Daniel B. Szyld
SIAM J. Numer. Anal., 2002

On Cheeger-type inequalities for weighted graphs.
[BibTeX]
[DOI]
Shmuel Friedland
,
Reinhard Nabben
J. Graph Theory, 2002

2001
On Green's Matrices of Trees.
[BibTeX]
[DOI]
Reinhard Nabben
SIAM J. Matrix Anal. Appl., 2001

Algebraic theory of multiplicative Schwarz methods.
[BibTeX]
[DOI]
Michele Benzi
,
Andreas Frommer
,
Reinhard Nabben
,
Daniel B. Szyld
Numerische Mathematik, 2001

2000
Improved Upper Bounds for the Real Part of Nonmaximal Eigenvalues of Nonnegative Matrices.
[BibTeX]
[DOI]
Reinhard Nabben
SIAM J. Matrix Anal. Appl., 2000

1999
Decay Rates of the Inverse of Nonsymmetric Tridiagonal and Band Matrices.
[BibTeX]
[DOI]
Reinhard Nabben
SIAM J. Matrix Anal. Appl., 1999

1997
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).
[BibTeX]
[DOI]
Reinhard Nabben
Numer. Linear Algebra Appl., 1997

1994
A Linear Algebra Proof that the Inverse of a Strictly Ultrametric Matrix is a Strictly Diagonally Dominant Stieltjes Matrix.
[BibTeX]
[DOI]
Reinhard Nabben
,
Richard S. Varga
SIAM J. Matrix Anal. Appl., January, 1994


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