2014

1

J. I. Aliaga, R.M.Badia, M. Barreda, M. Bollhöfer, E. S. Quintana-Orti. Leveraging Task-Parallelism with OmpSs in ILUPACK's Preconditioned CG Method.
Computer Architecture and High Performance Computing (SBAC-PAD), 2014 IEEE 26th International Symposium on, pp.262-269, 2014. ISSN: 1550-6533. DOI:10.1109/SBAC-PAD.2014.24

2

J.I. Aliaga, M. Bollhöfer, E. Dufrechou, P. Ezzatti, E.S. Quintana-Orti. Leveraging data-parallelism in ILUPACK using graphics processors
2014 IEEE 13th International Symposium on Parallel and Distributed Computing, 2014:119-126. DOI: 10.1109/ISPDC.2014.19

3

Andre Bodendiek and Matthias Bollhöfer. Adaptive expansion point selection for rational Arnoldi-type methods in model order reduction of Maxwell's equations.
BIT Numerical Mathematics 54(2):357-380, 2014. ISSN: 0006-3835. DOI:10.1007/s10543-013-0458-9

4

Amin Rafiei, Behnaz Tolue, Matthias Bollhöfer. Complete pivoting strategy for the left-looking Robust Incomplete Factorization preconditioner.
Computers & Mathematics with Applications 67(11):2055-2070, 2014. ISSN: 08981221. DOI:10.1016/j.camwa.2014.04.013

2013

1

M. Bebendorf, M. Bollhöfer, and M. Bratsch. Hierarchical matrix approximation with blockwise constraints. BIT Numerical Mathematics 53(2):311-339, 2013. ISSN: 0006-3835. DOI:10.1007/s10543-012-0413-1

2

Andre Bodendiek and Matthias Bollhöfer. Efficient Krylov subspace methods in moment matching based model order reduction. Technical report, submitted.

3

Andre Bodendiek and Matthias Bollhöfer. A modified adaptive-order rational Arnoldi method for model order reduction.
Proceedings in Applied Mathematics and Mechanics 13(1):415-416, 2013. ISSN: 1617-7061. DOI:10.1002/pamm.201310203

2012

1

J.I. Aliaga, M. Bollhöfer, A. Martin and E. Quintana-Orti. ILUPACK, Invited Book Chapter in Springer Encyclopedia of Parallel Computing, David Padua (Ed.), Springer, pp. 917-926, 2012. ISBN: 978-0-387-09765-7 DOI:10.1007/978-0-387-09766-4

2

J.I. Aliaga, M. Bollhöfer, A. Martin and E. Quintana-Orti. Parallelization of Multilevel ILU Preconditioners on Distributed-Memory Multiprocessors.
Applied Parallel and Scientific Computing ,10th International Conference, PARA 2010, Reykjavik, Iceland, June 6-9, 2010, Revised Selected Papers, Part I, Lecture Notes in Computer Science 7133 (K. Jonasson ed.), pp. 162-172, 2012.ISBN 978-3-642-28150-1. DOI:10.1007/978-3-642-28151-8

3

Matthias Bollhöfer and Stephane Lanteri. Block preconditioning strategies for high order finite element discretization of the time-harmonic Maxwell equations. Scientific Computing in Electrical Engineering SCEE 2010, Mathematics in Industry, Vol. 16, B. Michielsen, J.-R. Poirier (eds), p.25-34, 2012. ISBN 978-3-642-22452-2. DOI:10.1007/978-3-642-22453-9

4

Aldo Bonfiglioli, Sergio Campobasso, Bruno Carpentieri, and Matthias Bollhöfer.
A parallel 3D unstructured implicit RANS solver for compressible and incompressible CFD simulations.
Parallel Processing and Applied Mathematics, Part II, Lecture Notes in Computer Science 7204 (R. Wyrzykowski et al. eds.), pp. 313-322, 2012. ISBN 978-3-642-31499-5. DOI:10.1007/978-3-642-31500-8

5

B. Carpentieri, M. Bollhöfer. Symmetric Inverse-Based Multilevel ILU Preconditioning for Solving Dense Complex Non-Hermitian Systems in Electromagnetics Progress In Electromagnetics Research 128:55-74, 2012. ISSN: 1070-4698. DOI:10.2528/PIER12041006

6

A. Eppler, M. Bollhöfer. Structure-preserving GMRES methods for solving large Lyapunov equations. Progress in Industrial Mathematics at ECMI 2010, Mathematics in Industry, Vol. 17, Günther, M.; Bartel, A.; Brunk, M.; Schoeps, S.; Striebel, M. (eds.), pp.131-136, 2012. ISBN 978-3-642-25099-6. DOI:10.1007/978-3-642-25100-9

2011

1

J.I. Aliaga, M. Bollhöfer, A. Martin and E. Quintana-Orti.
Exploiting Thread-Level Parallelism in the Iterative Solution of Sparse Linear Systems.
Parallel Computing 37(3):183-202, 2011. ISSN: 0167-8191. DOI:10.1016/j.parco.2010.11.002.

2010

1

A. Eppler, M. Bollhöfer. An alternative way of solving large Lyapunov equations. Proceedings in Applied Mathematics and Mechanics 10(1):547-548, 2010. ISSN: 1617-7061. DOI:10.1002/pamm.201010266

2

Amin Rafiei, Matthias Bollhöfer.
Robust incomplete factorization for nonsymmetric matrices . Numerische Mathematik, 118(2):247-269, 2010. DOI:10.1007/s00211-010-0336-1

2009

1

J.I. Aliaga, M. Bollhöfer, A. Martin and E. Quintana-Orti.
Evaluation of Parallel Sparse Matrix Partitioning Software for Parallel Multilevel ILU Preconditioning on Shared-Memory Multiprocessors.
`Parallel Computing: From Multicores and GPUs to Petascale'. B. Chapman et al. eds. p.125-132, 2009. ISBN 978-1-60750-529-7. DOI:10.3233/978-1-60750-530-3-125

2

J.I. Aliaga, M. Bollhöfer, A. Martin and E. Quintana-Orti.
Recent advances in the parallel iterative solution of large-scale sparse linear systems Proceedings of the 2009 International Conference on Computational and Mathematical Methods in Science and Engineering. J. Vigo-Aguiar et al. eds. p.68-72. ISBN: 978-84-612-9727-6.

3

M. Bollhöfer and M. Grote and O. Schenk.
Algebraic Multilevel Preconditioner for the Helmholtz Equation in Heterogeous Media
SIAM J. Sci. Comput. 31(5):3781-3805, 2009. ISSN: 1064-8275. DOI:10.1137/080725702

2008

1

J.I. Aliaga, M. Bollhöfer, A. Martin and E. Quintana-Orti.
Scheduling Strategies for Parallel Sparse Backward/Forward Substitution.
Proceedings of the PARA 2008, 9th International Workshop on State-of-the-Art in Scientific and Parallel Computing, 2008. To appear in Lecture Notes in Computer Science Vol. 6126-6127

2

J.I. Aliaga, M. Bollhöfer, A. Martin and E. Quintana-Orti.
Design, Tuning and Evaluation of Parallel Multilevel ILU Preconditioners
High Performance Computing for Computational Science - VECPAR 2008, Lecture Notes in Computer Science 5336 (J. Palma et al. eds.), pp. 314-327, 2008. ISBN 978-3-540-92858-4. DOI:10.1007/978-3-540-92859-1_28

3

S.-M. Hong, C. Jungemann and M. Bollhöfer.
A Deterministic Boltzmann Equation Solver for Two-Dimensional Semiconductor Devices.
Simulation of Semiconductor Processes and Devices, 2008. SISPAD 2008. International Conference on, Hakone (Japan), pp.293-296, 2008. DOI:10.1109/SISPAD.2008.4648295

4

O. Schenk and M. Bollhöfer and R.A. Römer.
Selected SIGEST paper: On Large Scale Diagonalization Techniques for the Anderson Model of Localization.
SIAM Review, 50(1):91-112, 2008. ISSN: 0036-1445. SIGEST Introduction by the Editors. DOI:10.1137/070707002

2007

1

J. I. Aliaga, M. Bollhöfer, A. F. Martin and E. S. Quintana-Orti.
Parallelization of Multilevel Preconditioners Constructed from Inverse-Based ILUs on Shared-Memory Multiprocessors.
In `Parallel Computing: Architectures, Algorithms and Applications'. C. Bischof et al. eds. p.287-294. 2007. ISBN 978-3-9810843-4-4.

2

M. Bollhöfer, Y. Notay.
JADAMILU: a code for computing selected eigenvalues of large sparse symmetric matrices.
Comput. Phys. Commun. 177(12):951-964, 2007. ISSN: 0010-4655. DOI:10.1016/j.cpc.2007.08.004

3

Olaf Schenk, Matthias Bollhöfer and Rudolf A. Römer
On large-scale diagonalization techniques for the Anderson model of localization.
PAMM, 7(1):1021003-1021004, 2007. ISSN: 1617-7061. DOI: 10.1002/pamm.200700768

4

Peter Stange, Andreas Griewank, Matthias Bollhöfer
On the Efficient Update of Rectangular LU Factorizations subject to Low Rank Modifications.
ETNA, 26:161-177, 2007. ISSN: 1068-9613.

2006

1

M. Bollhöfer and Y. Saad.
Multilevel preconditioners constructed from inverse-based ILUs.
SIAM J. Sci. Comput., 27(5):1627-1650, 2006. ISSN: 1064-8275. DOI:10.1137/040608374

2

Matthias Bollhöfer, Olaf Schenk.
Combinatorial Aspects in Sparse Elimination Methods
GAMM Mitteilungen, Themenheft "Applied and Numerical Linear Algebra'', Part II, 29(2):342-367, 2006.

3

L. Horesh, M. Schweiger, M. Bollhöfer, A. Douiri, D.S. Holder and S.R. Arridge.
Multilevel preconditioning for 3D large-scale soft-field medical applications modelling.
Int. J. of Information and Systems Sciences, 2(4):532-556, 2006. ISSN: 1708-296X.

4

L. Horesh, M. Schweiger, M. Bollhöfer, A. Douiri, S.R. Arridge and D.S. Holder.
Novel Large-Scale 3D Electrical Impedance Tomography Modeling of the Human Head.
World Congress on Medical Physics and Biomedical Engineering, IFMBE Proceedings 14(27):3858-3861, 2006. DOI:10.1007/978-3-540-36841-0_976

5

Christoph Jungemann, A.T. Pham, Bernd Meinerzhagen, C. Ringhofer, Matthias Bollhöfer.
Stable discretization of the Boltzmann equation based on spherical harmonics, box integration, and a maximum entropy dissipation principle.
Journal of Applied Physics, 100(024502):1-13, 2006. ISSN: 0021-8979. DOI:10.1063/1.2212207

6

O. Schenk, M. Bollhöfer, M. Grote.
Algebraic Multilevel Preconditioning for Helmholtz Equations.
Proceedings of the ECCOMAS CFD 2006 Conference, 05.09.-08.09.2006, Egmond aan Zee, The Netherlands.

7

Olaf Schenk, Matthias Bollhöfer, Rudolf A. Römer
On Large Scale Diagonalization Techniques For The Anderson Model Of Localization
SIAM J. Scientific Computing (28) 2006:963-983. ISSN: 1064-8275. DOI:10.1137/050637649

2005

1

Christoph Jungemann, Bernd Meinerzhagen, Matthias Bollhöfer
Convergence of the Legendre Polynomial Expansion of the Boltzmann Equation for Nanoscale Devices
Proccedings of the 35-th ESSDERC, pp. 341-344, Grenoble (France), 2005 DOI:10.1109/ESSDER.2005.1546655

2

Olaf Schenk, Matthias Bollhöfer, Rudolf A. Römer
On Large Scale Diagonalization Techniques For The Anderson Model Of Localization
Preprint 15-2005, Institute of Mathematics, Technische Universität Berlin, 2005

2004

1

Matthias Bollhöfer.
A robust and efficient ILU that incorporates the growth of the inverse triangular factors.
SIAM J. Sci. Comput., 25(1):86-103, 2004. ISSN: 1064-8275. DOI:10.1137/S1064827502403411

2

M. Bollhöfer and V. Mehrmann.
Numerische Mathematik - Eine projektorientierte Einführung für Ingenieure, Mathematiker und Naturwissenschaftler.
Vieweg Wiesbaden, Dezember 2004. ISBN: 978-3-528-03220-3 Webseite mit Musteraufgaben.

2003

1

Matthias Bollhöfer.
Preconditioning Techniques for Unstructured Systems and Algebraic Multigrid Preconditioners.
Habilitation thesis, Technische Universität Berlin, Institut für Mathematik, Juni 2003.

2

Matthias Bollhöfer , V. Mehrmann.
Some convergence estimates for algebraic multilevel preconditioners.
In V. Olshevsky, editor, Fast Algorithms for Structured Matrices: Theory and Applications, 323:293-312. AMS, SIAM, 2003. ISBN-13: 978-0898715439

2002

1

Matthias Bollhöfer.
Adapted Sparse Approximate Inverse Smoothers in Algebraic Multilevel Methods .
Preprint 759-2002, Institute of Mathematics, Technische Universität Berlin, 2002.

2

Matthias Bollhöfer, Volker Mehrmann
Algebraic Multilevel Methods and Sparse Approximate Inverses.
SIAM J. Matrix Anal. Appl., 24(1):191-218, 2002. ISSN: 0895-4798. DOI:10.1137/S0895479899364441

3

Matthias Bollhöfer, Youcef Saad.
On the relations between ILUs and factored approximate inverses.
SIAM J. Matrix Anal. Appl., 24(1):219--237, 2002. ISSN: 0895-4798. DOI:10.1137/S0895479800372110

2001

1

Matthias Bollhöfer.
A Robust ILU Based on Monitoring the Growth of the Inverse Factors.
Linear Algebra Appl., 338(1-3):201-218, 2001. ISSN: 0024-3795. DOI:10.1016/S0024-3795(01)00385-8

2

Matthias Bollhöfer .
Geometrische und Algebraische Mehrgitterverfahren - Eine Einführung
Kursmaterial zum Kompaktkurs Iterative Gleichungssystemlöser und parallele Algorithmen, Uni Hamburg, 19.-23. Februar 2001. Vortragsfolien als PDF und PostScript

3

Matthias Bollhöfer , Youcef Saad.
A Factored Approximate Inverse Preconditioner with Pivoting
SIAM J. Matrix Anal. Appl., 23(3):692-705, 2001. ISSN: 0895-4798. DOI:10.1137/S0895479800372122

2000

1

Matthias Bollhöfer , Youcef Saad.
ILUs and Factorized Approximate Inverses are Strongly Related: Part 1: Overview of Results
University of Minnesota Supercomputing Institute Research Report UMSI 2000/39.

1999

1

Matthias Bollhöfer, Volker Mehrmann.
A New Approach to Algebraic Multilevel Methods Based on Sparse Approximate Inverses .
SFB 393 `Numerische Simulation auf massiv parallelen Rechnern' in Chemnitz, SFB393/99-22, 1999.

1998

1

Matthias Bollhöfer.
Algebraic Domain Decomposition
PhD Thesis of the Department of Mathematics, Chemnitz University of Technology, 1998.

2

Matthias Bollhöfer, Volker Mehrmann.
Nested divide and conquer methods for the solution of large sparse linear systems
SFB 393 `Numerische Simulation auf massiv parallelen Rechnern' in Chemnitz, SFB393/98-05, 1998.