Curriculum Vitae

Stand: 12.04.2023


Name und Titel Prof. Dr. Matthias Bollhöfer
Dienstanschrift Institut "Computational Mathematics"
Carl-Friedrich-Gauß-Fakultät
TU Braunschweig
Unversitätsplatz 2
D-38106 Braunschweig
Telefon (0531) 391 7536
FAX (0531) 391 8206
email m.bollhoefer@tu-bs.de
Homepage http://www.icm.tu-bs.de/~bolle
Research Gate https://www.researchgate.net/profile/Matthias_Bollhoefer
Google Scholar https://scholar.google.com/citations?user=okh1OgUAAAAJ&hl=en
ORCID 0000-0002-8093-5812

Derzeitige Position: Universitätsprofessur (W2) "Numerische Mathematik"

Wissenschaftlicher Werdegang:

W2-Professur Numerik, Technische Universität Braunschweig, 2006

Habilitation, Technische Universität Berlin, 2003

Dr. rer. nat., Technische Universität Chemnitz, Betreuer V. Mehrmann, 1998

Mathematik-Diplom, Universität Bielefeld, Betreuerin A. Bunse-Gerstner, 1992

September 2004-April 2006. Wissenschaftlicher Oberassistent (C2), Institut für Mathematik, TU Berlin

Wintersemester 2003/2004 bis Sommersemester 2004. Vertretungsprofessur Numerik (C3) an der TU Braunschweig

November 2000 bis Oktober 2003 sowie Juli 2004 bis September 2004. Wissenschaftlicher Assistent (C1), Institut für Mathematik, TU Berlin

1999-2000 Forschungsstipendium der DFG, BO1680/1-1

1998-1999, 2000 Wissenschaftlicher Assistent (IIa), Fakultät für Mathematik, TU Chemnitz

1993-1998, 2000 Wissenschaftlicher Mitarbeiter (IIa), Fakultät für Mathematik, TU Chemnitz

1992-1993 Wissenschaftliche Hilfskraft, Fakultät für Mathematik, Universität Bielefeld

1989-1991 studentische Hilfskraft, Fakultät für Mathematik, Universität Bielefeld

Forschungsgebiete:

Numerische Lineare Algebra, Wissenschaftliches paralleles Rechnen, Numerische Methoden für Data Science, Algebraische Mehrgitterverfahren und Multilevelverfahren, Vorkonditionierungstechniken, insbes. unvollst. Dreieckszerlegungen und approximative Inverse, sowie Numerische Anwendungen bei Differenzialgleichungen und dem Ingenieurwesen.

Forschungsprojekte:

02/2023-01/2026. DFG-Sachbeihilfe BO 1680/8-1, Projektnummer 470857344, Numerische Algorithmen, Grundlegende Strukturen und skalierbare Technologien für hochskalierbare Systeme mit Prof. Schenk (USI Lugano).

10/2010-09/2013. Teilprojekt TP 1 Balancierungs-basierte MOR für EM-Probleme im Rahmen des BMBF-Verbundprojektes MoreSim4Nano "Modellreduktion zur schnellen Simulation neuartiger Halbleiterstrukturen in der Nanoelektronik und Mikrosystemtechnik"

07/2007-12/2010. Teilprojekt TP6 Numerische Lösung von Gleichungssystemen und Kopplung von Komponenten im Rahmen des BMBF-Verbundprojektes SyreNe: Systemreduktion für IC-Design in der Nanoelektronik (mit P. Benner, M. Hinze, H. Faßbender, T. Stykel, P. Lang)

09/2008-08/2011. DFG-Projekt BO1680/3-1 Validierung numerischer Lösungen zu hoch-dimensionalen rückwärtsstochastischen Differentialgleichungen aus dem Finanzbereich im Rahmen des DFG-Schwerpunktprogrammes 1324 Extraktion quantifizierbarer Information aus komplexen Systemen (mit C. Bender, Saarbrücken)

08/2007-07/2010. DFG-Projekt BO1680/2-1 Deterministische Simulation der fundamentalen Transport- und Rauschprozesse in Halbleiterbauelementen (mit C. Jungemann, München)

01/2008-12/2009. Reisemittelvertrag DAAD D/07/13360 - PPP/Acciones Integradas Hispano-Alemanas 2008/2009 (mit J. Aliaga)

01/2008-12/2009. INRIA "Equipes Associées" PHyLeaS Parallel pre-permutation techniques for robust iterative solvers (INRIA Kooperation mit J. Roman, Y. Saad, L. Giraud, S. Lanteri).

06/2002-04/2007. Teilprojekt D2 Numerical solution of large unstructured linear systems in circuit simulation (mit V. Mehrmann) innerhalb des DFG-Forschungszentrums MATHEON in Berlin.

06/2005-05/2006. Teilprojekt D16 Adapted Linear Algebra for TR1 Updates (mit A. Griewank und C. Tischendorf) innerhalb des DFG-Forschungszentrums MATHEON in Berlin.

09/1999-02/2000. DFG-Forschungsstipendium BO1680/1-1 Adaptive parallele Vorkonditionierungstechniken für große unsymmetrische Systeme,

Software

1
M. Bollhöfer and Y. Saad.
ILUPACK - preconditioning software package.
Aktuelles Release 2.4 verfügbar unter http://ilupack.tu-bs.de/, Juni 2011.

2
M. Bollhöfer and Y. Notay.
JADAMILU - JAcobi-DAvidson method with Multilevel ILU preconditioning.
Aktuelles Release 2.0 verfügbar unter http://homepages.ulb.ac.be/~jadamilu/, Januar 2009.

3
M. Bollhöfer.
JANUS - hybrid block incomplete factorization software package.
Aktuelles Release 1.0 verfügbar unter http://bilu.tu-bs.de/, September 2017.
Publikationen: papers TUBS

2024

1
A. Eftekhari, L. Gaedke-Merzhäuser, D. Pasadakis, M. Bollhöfer, S. Scheidegger, O. Schenk. Algorithm XXX: Sparse Precision Matrix Estimation With SQUIC.
ACM Transactions on Mathematical Software, 2024 DOI:10.1145/3650108.

2023

1
D. Pasadakis, M. Bollhöfer, and O. Schenk. Sparse Quadratic Approximation for Graph Learning.
IEEE Transactions on Pattern Analysis and Machine Intelligence 45(9):11256-11269, 2023 DOI:10.1109/TPAMI.2023.3263969.

2022

1
D. Pasadakis, M. Bollhöfer, and O. Schenk. Sparse Quadratic Approximation for Graph Learning.
DOI:10.36227/techrxiv.19635990.v1.

2021

1
Matthias Bollhöfer, Olaf Schenk, Fabio Verbosio. A High Performance Level-Block Approximate LU Factorization Preconditioner Algorithm.
Applied Numerical Mathematics 162:265-282, 2021. ISSN: 0168-9274. DOI:10.1016/j.apnum.2020.12.023.

2
A. Eftekhari, D. Pasadakis, M. Bollhöfer, S. Scheidegger, and O. Schenk. Block-Enhanced Precision Matrix Estimation for Large-Scale Datasets.
Journal of Computational Science 53(101389):1-13, 2021. ISSN: 1877-7503. DOI:10.1016/j.jocs.2021.101389.

3
U. Römer, M. Bollhöfer, H. K. Sreekumar, C. Blech, S. C. Langer. An adaptive sparse grid rational Arnoldi method for uncertainty quantification of dynamical systems in the frequency domain.
International Journal for Numerical Methods in Engineering 122(20):5487-5511, 2021. ISSN: 1097-0207. DOI:10.1002/nme.6761.

4
A. Eftekhari, L. Gaedke-Merzhäuser, D. Pasadakis, M. Bollhöfer, S. Scheidegger, and O. Schenk. Large-Scale Precision Matrix Estimation With SQUIC.
submitted, 2021. DOI:10.2139/ssrn.3904001.

2020

1
Matthias Bollhöfer, Olaf Schenk, Radim Janalik, Steve Hamm, Kiran Gullapalli. State-of-The-Art Sparse Direct Solvers. in Parallel Algorithms in Computational Science and Engineering, Ananth Grama, Ahmed H. Sameh (eds.), ISBN 978-3-030-43735-0, pp.3-33, 2020. DOI:10.1007/978-3-030-43736-7_1.

2
Patrick Sanan, Dave A. May, Matthias Bollhöfer, and Olaf Schenk. Pragmatic Solvers for 3D Stokes and Elasticity Problems with Heterogeneous Coefficients: Evaluating Modern Incomplete LDLT Preconditioners.
Solid Earth 11:2031-2045, 2020. DOI:10.5194/se-2020-79.

2019

1
M. Bollhöfer, A. Eftekhari, S. Scheidegger, and O. Schenk. Large-Scale Sparse Inverse Covariance Matrix Estimation.
SIAM J. Sci. Comput., 41(1), A380-A401, 2019. DOI:10.1137/17M1147615.

2
Matthias Bollhöfer, Olaf Schenk, Fabio Verbosio. High Performance Block Incomplete LU Factorization. arXiv:1908.10169, submitted.

3
Amin Rafiei, Matthias Bollhöfer, Fayssal Benkhaldoun. A block version of left-looking AINV preconditioner with one by one or two by two block pivots.
Applied Mathematics and Computation 350 (2019) 366-385. DOI:10.1016/j.amc.2019.01.012.

2018

1
J.I. Aliaga, M. Bollhöfer, E. Dufrechou, P. Ezzatti, E.S. Quintana-Orti. Extending ILUPACK with a Task-Parallel Version of BiCG for Dual-GPU Servers.
PMAM'18 Proceedings of the 9th International Workshop on Programming Models and Applications for Multicores and Manycores, 2018:71-78. DOI: 10.1145/3178442.3178450.

2
A. Eftekhari, M. Bollhöfer, and O. Schenk. Distributed Memory Sparse Inverse Covariance Matrix Estimation on High-Performance Computing Architectures.
In Proceedings of the ACM/IEEE International Conference on High Performance Computing, Networking, Storage and Analysis (SC18), 2018 (acceptance rate: 19% (54/288)). DOI:10.1109/SC.2018.00023

2017

1
J.I. Aliaga, M. Barreda, G. Flegar, M. Bollhöfer, E.S. Quintana-Orti. Communication in task-parallel ILU-preconditioned CG solvers using MPI + OmpSs.
Concurrency and Computation 29(21):e4280,1-18, 2017. ISSN: 1532-0634. DOI:10.1002/cpe.4280.

2
Matthias Bollhöfer and Andre K. Eppler. Low-Rank Cholesky Factor Krylov Subspace Methods for Generalized Projected Lyapunov Equations. System Reduction for Nanoscale IC Design, P. Benner, ed., Series Mathematics in Industry, 20:157-193, (Springer), 2017. ISBN 978-3-319-07235-7.

2016

1
J.I. Aliaga, R.M. Badia, M. Barreda, M. Bollhöfer, E. Dufrechou, P. Ezzatti, E.S. Quintana-Orti. Exploiting task and data parallelism in ILUPACK's preconditioned CG solver on NUMA architectures and many-core accelerators.
Parallel Computing 54:97-107, 2016. ISSN: 0167-8191. DOI:10.1016/j.parco.2015.12.004.

2
J.I. Aliaga, M. Barreda, M. Bollhöfer, E.S. Quintana-Orti. Exploiting task-parallelism in message-passing sparse linear system solvers using OmpSs.
In: Dutot PF., Trystram D. (eds) Euro-Par 2016: Parallel Processing. Euro-Par 2016. Lecture Notes in Computer Science, vol 9833, 631-643. Springer, Cham. ISBN 978-3-319-43658-6. DOI:10.1007/978-3-319-43659-3_46.

3
J.I. Aliaga, M. Bollhöfer, E. Dufrechou, P. Ezzatti, E.S. Quintana-Orti. A Data-Parallel ILUPACK for Sparse General and Symmetric Indefinite Linear Systems.
in: Desprez F. et al. (eds) Euro-Par 2016: Parallel Processing Workshops. Euro-Par 2016. Lecture Notes in Computer Science, vol 10104. Springer, Cham, 2017. 978-3-319-58942-8. DOI: 10.1007/978-3-319-58943-5_10.

4
M. Bebendorf, M. Bollhöfer, and M. Bratsch. On the spectral equivalence of hierarchical matrix preconditioners for elliptic problems. Mathematics of Computation, 85:2839-2861, 2016. ISSN: 0025-5718. DOI:10.1090/mcom/3086.

2015

1
Matthias Bollhöfer. Algebraic Preconditioning Approaches and Their Applications
Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory, pp. 257-295, 2015, P. Benner et al eds. ISBN 978-3-319-15259-2. DOI:10.1007/978-3-319-15260-8_10

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.

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