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ORCIDAndreas Frommer
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- affiliation: University of Wuppertal
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2020 – today
- 2024
[i19]Andreas Frommer, Gustavo Ramirez-Hidalgo, Marcel Schweitzer, Manuel Tsolakis:
Polynomial Preconditioning for the Action of the Matrix Square Root and Inverse Square Root. CoRR abs/2401.06684 (2024)- [i18]Andreas Bartel, Malak Diab, Andreas Frommer, Michael Günther, Nicole Marheineke:
Splitting Techniques for DAEs with port-Hamiltonian Applications. CoRR abs/2404.13531 (2024) - 2023
- [j59]Jesus Espinoza-Valverde, Andreas Frommer, Gustavo Ramirez-Hidalgo, Matthias Rottmann:
Coarsest-level improvements in multigrid for lattice QCD on large-scale computers. Comput. Phys. Commun. 292: 108869 (2023) - [j58]Andreas Frommer
, Daniel B. Szyld:
On the convergence of randomized and greedy relaxation schemes for solving nonsingular linear systems of equations. Numer. Algorithms 92(1): 639-664 (2023) - [j57]Andreas Frommer, Karsten Kahl, Marcel Schweitzer, Manuel Tsolakis:
Krylov Subspace Restarting for Matrix Laplace Transforms. SIAM J. Matrix Anal. Appl. 44(2): 693-717 (2023) - [i17]Andreas Frommer, Michael Günther, Björn Liljegren-Sailer, Nicole Marheineke:
Operator splitting for port-Hamiltonian systems. CoRR abs/2304.01766 (2023) - [i16]Andreas Frommer, Michele Rinelli, Marcel Schweitzer:
Analysis of stochastic probing methods for estimating the trace of functions of sparse symmetric matrices. CoRR abs/2308.07722 (2023) - 2022
- [j56]Andreas Frommer, Mostafa Nasr Khalil, Gustavo Ramirez-Hidalgo:
A Multilevel Approach to Variance Reduction in the Stochastic Estimation of the Trace of a Matrix. SIAM J. Sci. Comput. 44(4): 2536- (2022) - [i15]Jesus Espinoza-Valverde, Andreas Frommer, Gustavo Ramirez-Hidalgo, Matthias Rottmann:
Coarsest-level improvements in multigrid for lattice QCD on large-scale computers. CoRR abs/2205.09104 (2022) - [i14]Andreas Frommer, Karsten Kahl, Marcel Schweitzer, Manuel Tsolakis:
Krylov subspace restarting for matrix Laplace transforms. CoRR abs/2205.13842 (2022) - [i13]Andreas Frommer, Daniel B. Szyld:
On the Convergence of Randomized and Greedy Relaxation Schemes for Solving Nonsingular Linear Systems of Equations. CoRR abs/2209.03757 (2022) - [i12]Liam Burke, Andreas Frommer, Gustavo Ramirez-Hidalgo, Kirk M. Soodhalter:
Krylov Subspace Recycling For Matrix Functions. CoRR abs/2209.14163 (2022) - [i11]Andreas Frommer, Gustavo Ramirez-Hidalgo:
Deflated Multigrid Multilevel Monte Carlo. CoRR abs/2211.15383 (2022) - [i10]Malak Diab, Andreas Frommer, Karsten Kahl:
A flexible short recurrence Krylov subspace method for matrices arising in the time integration of port Hamiltonian systems and ODEs/DAEs with a dissipative Hamiltonian. CoRR abs/2212.14208 (2022) - 2021
- [j55]Andreas Frommer, Karsten Kahl, Francesco Knechtli, Matthias Rottmann, Artur Strebel, Ian Zwaan:
A multigrid accelerated eigensolver for the Hermitian Wilson-Dirac operator in lattice QCD. Comput. Phys. Commun. 258: 107615 (2021) - [j54]Edmond Chow, Andreas Frommer, Daniel B. Szyld:
Asynchronous Richardson iterations: theory and practice. Numer. Algorithms 87(4): 1635-1651 (2021) - [j53]Andreas Frommer, Claudia Schimmel, Marcel Schweitzer:
Analysis of Probing Techniques for Sparse Approximation and Trace Estimation of Decaying Matrix Functions. SIAM J. Matrix Anal. Appl. 42(3): 1290-1318 (2021) - [i9]Andreas Frommer, Mostafa Nasr Khalil, Gustavo Ramirez-Hidalgo:
A Multilevel Approach to Variance Reduction in the Stochastic Estimation of the Trace of a Matrix. CoRR abs/2108.11281 (2021) - [i8]Andreas Frommer, Karsten Kahl, Manuel Tsolakis:
Matrix functions via linear systems built from continued fractions. CoRR abs/2109.03527 (2021) - 2020
- [j52]Andreas Frommer, Kathryn Lund, Daniel B. Szyld:
Block Krylov Subspace Methods for Functions of Matrices II: Modified Block FOM. SIAM J. Matrix Anal. Appl. 41(2): 804-837 (2020) - [j51]Andreas Frommer, Behnam Hashemi:
Computing Enclosures for the Matrix Exponential. SIAM J. Matrix Anal. Appl. 41(4): 1674-1703 (2020) - [i7]Andreas Frommer, Claudia Schimmel, Marcel Schweitzer:
Analysis of probing techniques for sparse approximation and trace estimation of decaying matrix functions. CoRR abs/2009.01589 (2020) - [i6]Edmond Chow, Andreas Frommer, Daniel B. Szyld:
Asynchronous Richardson iterations. CoRR abs/2009.02015 (2020)
2010 – 2019
- 2019
- [i5]Andreas Frommer, Birgit Jacob, Karsten Kahl, Christian Wyss, Ian Zwaan:
Krylov type methods exploiting the quadratic numerical range. CoRR abs/1912.10765 (2019) - 2018
- [j50]Andreas Frommer, Claudia Schimmel, Marcel Schweitzer:
Bounds for the decay of the entries in inverses and Cauchy-Stieltjes functions of certain sparse, normal matrices. Numer. Linear Algebra Appl. 25(4) (2018) - 2017
- [j49]Jan Hahne, David Dahmen, Jannis Schuecker, Andreas Frommer, Matthias Bolten, Moritz Helias, Markus Diesmann:
Integration of Continuous-Time Dynamics in a Spiking Neural Network Simulator. Frontiers Neuroinformatics 11: 34 (2017) - [j48]Andreas Frommer, Kathryn Lund, Marcel Schweitzer, Daniel B. Szyld:
The Radau-Lanczos Method for Matrix Functions. SIAM J. Matrix Anal. Appl. 38(3): 710-732 (2017) - 2016
- [j47]Somaiyeh Rashedi, Ghodrat Ebadi, Sebastian Birk, Andreas Frommer:
On short recurrence Krylov type methods for linear systems with many right-hand sides. J. Comput. Appl. Math. 300: 18-29 (2016) - [j46]James J. Brannick, Andreas Frommer, Karsten Kahl, Björn Leder, Matthias Rottmann, Artur Strebel:
Multigrid preconditioning for the overlap operator in lattice QCD. Numerische Mathematik 132(3): 463-490 (2016) - 2015
- [j45]Jan Hahne, Moritz Helias, Susanne Kunkel, Jun Igarashi, Matthias Bolten, Andreas Frommer, Markus Diesmann:
A unified framework for spiking and gap-junction interactions in distributed neuronal network simulations. Frontiers Neuroinformatics 9: 22 (2015) - [c9]Jan Hahne, Moritz Helias, Susanne Kunkel, Jun Igarashi, Itaru Kitayama, Brian J. N. Wylie, Matthias Bolten, Andreas Frommer, Markus Diesmann:
Including Gap Junctions into Distributed Neuronal Network Simulations. BrainComp 2015: 43-57 - 2014
- [j44]Sebastian Birk, Andreas Frommer:
A deflated conjugate gradient method for multiple right hand sides and multiple shifts. Numer. Algorithms 67(3): 507-529 (2014) - [j43]Andreas Frommer, Stefan Güttel, Marcel Schweitzer:
Efficient and Stable Arnoldi Restarts for Matrix Functions Based on Quadrature. SIAM J. Matrix Anal. Appl. 35(2): 661-683 (2014) - [j42]Andreas Frommer, Stefan Güttel, Marcel Schweitzer:
Convergence of Restarted Krylov Subspace Methods for Stieltjes Functions of Matrices. SIAM J. Matrix Anal. Appl. 35(4): 1602-1624 (2014) - [j41]Andreas Frommer, Karsten Kahl, Stefan Krieg, Björn Leder, Matthias Rottmann:
Adaptive Aggregation-Based Domain Decomposition Multigrid for the Lattice Wilson-Dirac Operator. SIAM J. Sci. Comput. 36(4) (2014) - 2013
- [j40]K. Samiei, Bernhard Peters, Matthias Bolten, Andreas Frommer:
Assessment of the potentials of implicit integration method in discrete element modelling of granular matter. Comput. Chem. Eng. 49: 183-193 (2013) - [j39]Andreas Frommer, Karsten Kahl, Thomas Lippert, Hannah Rittich:
2-Norm Error Bounds and Estimates for Lanczos Approximations to Linear Systems and Rational Matrix Functions. SIAM J. Matrix Anal. Appl. 34(3): 1046-1065 (2013) - [j38]David Fritzsche, Andreas Frommer, Stephen D. Shank, Daniel B. Szyld:
Overlapping Blocks by Growing a Partition with Applications to Preconditioning. SIAM J. Sci. Comput. 35(1) (2013) - 2011
- [j37]Xiaojun Chen, Andreas Frommer, Bruno Lang:
Computational existence proofs for spherical t-designs. Numerische Mathematik 117(2): 289-305 (2011) - [j36]Matthias Bolten, Achi Brandt, James J. Brannick, Andreas Frommer, Karsten Kahl, Ira Livshits:
A Bootstrap Algebraic Multilevel Method for Markov Chains. SIAM J. Sci. Comput. 33(6): 3425-3446 (2011) - [i4]Lars Eldén, Andreas Frommer:
Data Mining, Networks and Dynamics (Dagstuhl Seminar 11451). Dagstuhl Reports 1(11): 23-38 (2011) - 2010
- [j35]Jacques Bloch, Tobias Breu, Andreas Frommer, Simon Heybrock, Katrin Schäfer, Tilo Wettig:
Short-recurrence Krylov subspace methods for the overlap Dirac operator at nonzero chemical potential. Comput. Phys. Commun. 181(8): 1378-1387 (2010) - [j34]Heinz Baier, Hans Boettiger, Matthias Drochner, Norbert Eicker, Uwe Fischer, Zoltán Fodor, Andreas Frommer, Claude Gomez, Gottfried Goldrian, Simon Heybrock:
QPACE: power-efficient parallel architecture based on IBM PowerXCell 8i. Comput. Sci. Res. Dev. 25(3-4): 149-154 (2010)
2000 – 2009
- 2009
- [j33]Nigel Cundy, Stefan Krieg, Guido Arnold, Andreas Frommer, Thomas Lippert, Klaus Schilling:
Numerical methods for the QCD overlap operator IV: Hybrid Monte Carlo. Comput. Phys. Commun. 180(1): 26-54 (2009) - [j32]Thomas Beelitz, Andreas Frommer, Bruno Lang, Paul R. Willems:
A framework for existence tests based on the topological degree and homotopy. Numerische Mathematik 111(4): 493-507 (2009) - [j31]Andreas Frommer, Behnam Hashemi:
Verified Computation of Square Roots of a Matrix. SIAM J. Matrix Anal. Appl. 31(3): 1279-1302 (2009) - [i3]Heinz Baier, Hans Boettiger, Matthias Drochner, Norbert Eicker, Uwe Fischer, Zoltán Fodor, Andreas Frommer, Claude Gomez, Gottfried Goldrian, Simon Heybrock, Dieter Hierl, Matthias Hüsken, Thomas H. Huth, Benjamin Krill, Jack Lauritsen, Thomas Lippert, Thilo Maurer, Bernhard Mendl, Nils Meyer, Andrea Nobile, Ibrahim Ouda, Marcello Pivanti, Dirk Pleiter, Manfred Ries, Andreas Schäfer, Heiko Schick, Sebastiano Fabio Schifano, Hubert Simma, Stefan Solbrig, Thomas Streuer, Karl-Heinz Sulanke, Raffaele Tripiccione, Jörg-Stephan Vogt, Tilo Wettig, Frank Winter:
QPACE - a QCD parallel computer based on Cell processors. CoRR abs/0911.2174 (2009) - 2008
- [j30]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): 925-938 (2008) - [j29]Andreas Frommer, Valeria Simoncini:
Stopping Criteria for Rational Matrix Functions of Hermitian and Symmetric Matrices. SIAM J. Sci. Comput. 30(3): 1387-1412 (2008) - [c8]Andreas Frommer, Valeria Simoncini:
Error Bounds for Lanczos Approximations of Rational Functions of Matrices. Numerical Validation in Current Hardware Architectures 2008: 203-216 - 2007
- [b2]Harald Scheid, Andreas Frommer:
Zahlentheorie (4. Aufl.). Elsevier Spektrum Akadem. Verl. 2007, ISBN 978-3-8274-1692-6, pp. I-VIII, 1-509 - [j28]Jacques Bloch, Andreas Frommer, Bruno Lang, Tilo Wettig:
An iterative method to compute the sign function of a non-Hermitian matrix and its application to the overlap Dirac operator at nonzero chemical potential. Comput. Phys. Commun. 177(12): 933-943 (2007) - [j27]David Fritzsche, Andreas Frommer, Daniel B. Szyld:
Extensions of Certain Graph-based Algorithms for Preconditioning. SIAM J. Sci. Comput. 29(5): 2144-2161 (2007) - [e2]Andreas Frommer, Michael W. Mahoney, Daniel B. Szyld:
Web Information Retrieval and Linear Algebra Algorithms, 11.02. - 16.02.2007. Dagstuhl Seminar Proceedings 07071, Internationales Begegnungs- und Forschungszentrum für Informatik (IBFI), Schloss Dagstuhl, Germany 2007 [contents] - [i2]Andreas Frommer, Michael W. Mahoney, Daniel B. Szyld:
07071 Report on Dagstuhl Seminar -- Web Information Retrieval and Linear Algebra Algorithms. Web Information Retrieval and Linear Algebra Algorithms 2007 - [i1]Andreas Frommer, Michael W. Mahoney, Daniel B. Szyld:
07071 Abstracts Collection -- Web Information Retrieval and Linear Algebra Algorithms. Web Information Retrieval and Linear Algebra Algorithms 2007 - 2006
- [c7]Andreas Frommer, Matthias Hüsken:
Ensuring numerical quality in grid computing. HPDC 2006: 335-336 - 2005
- [j26]Nigel Cundy, J. van den Eshof, Andreas Frommer, Stefan Krieg, Thomas Lippert, Katrin Schäfer:
Numerical methods for the QCD overlap operator: III. Nested iterations. Comput. Phys. Commun. 165(3): 221-242 (2005) - [j25]Andreas Frommer, Bruno Lang:
Existence Tests for Solutions of Nonlinear Equations Using Borsuk's Theorem. SIAM J. Numer. Anal. 43(3): 1348-1361 (2005) - 2004
- [j24]Andreas Frommer, Bruno Lang, Marco Schnurr:
A Comparison of the Moore and Miranda Existence Tests. Computing 72(3-4): 349-354 (2004) - [j23]Zhiping P. Qiu, Peter C. Müller, Andreas Frommer:
The new nonprobabilistic criterion of failure for dynamical systems based on convex models. Math. Comput. Model. 40(1-2): 201-215 (2004) - [j22]Robert Elsässer, Burkhard Monien, Robert Preis, Andreas Frommer:
Optimal Diffusion Schemes And Load Balancing On Product Graphs. Parallel Process. Lett. 14(1): 61-73 (2004) - [e1]René Alt, Andreas Frommer, R. Baker Kearfott, Wolfram Luther:
Numerical Software with Result Verification, International Dagstuhl Seminar, Dagstuhl Castle, Germany, January 19-24, 2003, Revised Papers. Lecture Notes in Computer Science 2991, Springer 2004, ISBN 3-540-21260-4 [contents] - 2003
- [j21]Andreas Frommer:
BiCGStab(l) for Families of Shifted Linear Systems. Computing 70(2): 87-109 (2003) - 2002
- [j20]Holger Arndt, Guido Arnold, Norbert Eicker, Denny Fliegner, Andreas Frommer, R. Hentschke, Florin Isaila, Hendrik Kabrede, Michael Krech, Thomas Lippert, Hartmut Neff, Boris Orth, Klaus Schilling, Wolfram Schroers, Walter F. Tichy:
Cluster-Computing und Computational Science mit der Wuppertaler Alpha-Linux-Cluster-Engine ALiCE. Prax. Inf.verarb. Kommun. 25(1): 21-38 (2002) - 2001
- [j19]Michele Benzi, Andreas Frommer, Reinhard Nabben, Daniel B. Szyld:
Algebraic theory of multiplicative Schwarz methods. Numerische Mathematik 89(4): 605-639 (2001) - [j18]Andreas Frommer, Daniel B. Szyld:
An Algebraic Convergence Theory for Restricted Additive Schwarz Methods Using Weighted Max Norms. SIAM J. Numer. Anal. 39(2): 463-479 (2001) - [p2]Andreas Frommer:
Proving Conjectures by Use of Interval Arithmetic. Perspectives on Enclosure Methods 2001: 1-12 - [p1]Andreas Frommer:
A Feasibility Result for Interval Gaussian Elimination Relying on Graph Structure. Symbolic Algebraic Methods and Verification Methods 2001: 79-86
1990 – 1999
- 1999
- [j17]Andreas Frommer, Daniel B. Szyld:
Weighted max norms, splittings, and overlapping additive Schwarz iterations. Numerische Mathematik 83(2): 259-278 (1999) - [j16]Ralf Diekmann, Andreas Frommer, Burkhard Monien:
Efficient schemes for nearest neighbor load balancing. Parallel Comput. 25(7): 789-812 (1999) - [j15]Andreas Frommer, Andre Weinberg:
Verified Error Bounds for Linear Systems Through the Lanczos Process. Reliab. Comput. 5(3): 255-267 (1999) - [j14]Andreas Frommer, Peter Maass:
Fast CG-Based Methods for Tikhonov-Phillips Regularization. SIAM J. Sci. Comput. 20(5): 1831-1850 (1999) - [c6]Robert Elsässer, Andreas Frommer, Burkhard Monien, Robert Preis:
Optimal and Alternating-Direction Load Balancing Schemes. Euro-Par 1999: 280-290 - [c5]Wolfgang Bietenholz, Norbert Eicker, Andreas Frommer, Thomas Lippert, Björn Medeke, Klaus Schilling:
A Preconditioner for Improved Fermion Actions. Euro-Par 1999: 1040-1043 - 1998
- [j13]Andreas Frommer, Uwe Glässner:
Restarted GMRES for Shifted Linear Systems. SIAM J. Sci. Comput. 19(1): 15-26 (1998) - [c4]Ralf Diekmann, Andreas Frommer, Burkhard Monien:
Nearest Neighbor Load Balancing on Graphs. ESA 1998: 429-440 - [c3]Andreas Frommer, Andre Weinberg:
Verified Error Bounds for Linear Systems Through the Lanczos Process. SCAN 1998: 255-267 - 1997
- [j12]Andreas Frommer, Hartmut Schwandt:
A Unified Representation and Theory of Algebraic Additive Schwarz and Multisplitting Methods. SIAM J. Matrix Anal. Appl. 18(4): 893-912 (1997) - [c2]Andreas Frommer, Thomas Lippert, Klaus Schilling:
Scalable Parallel SSOR Preconditioning for Lattice Computations in Gauce Theories. Euro-Par 1997: 742-749 - [c1]Norbert Eicker, Andreas Frommer, H. Hoeber, Thomas Lippert, Björn Medeke, G. Ritzenhofer, Klaus Schilling:
A Scalable Parallel SSOR Preconditioner for Efficient Lattice Computations in Gauge Theories. PARCO 1997: 573-580 - 1996
- [j11]Andreas Frommer:
SCAN'95: International symposium on scientific computing, computer arithmetic and validated numerics. Reliab. Comput. 2(1): 84-85 (1996) - [j10]Götz Alefeld, Andreas Frommer, Bruno Lang:
Preface. Reliab. Comput. 2(2): i (1996) - 1995
- [j9]Andreas Frommer, Bert Pohl:
A comparison result for multisplittings and waveform relaxation methods. Numer. Linear Algebra Appl. 2(4): 335-346 (1995) - 1993
- [j8]Andreas Frommer, Günter Mayer:
A New Criterion to Guarantee the Feasibility of the Interval Gaussian Algorithm. SIAM J. Matrix Anal. Appl. 14(2): 408-419 (1993) - 1992
- [j7]Andreas Frommer, Günter Mayer:
On the theory and practice of multisplitting methods in parallel computation. Computing 49(1): 63-74 (1992) - 1991
- [j6]Andreas Frommer:
Orders of convergence for superlineary convergent chaotic iterations. Computing 47(1): 97-101 (1991) - 1990
- [b1]Andreas Frommer:
Lösung linearer Gleichungssysteme auf Parallelrechnern. Vieweg 1990, ISBN 978-3-528-06397-9, pp. I-XVI, 1-267 - [j5]Andreas Frommer, Günter Mayer:
Efficient methods for enclosing solutions of systems of nonlinear equations. Computing 44(3): 221-235 (1990) - [j4]Uwe Block, Andreas Frommer, Günter Mayer:
Block colouring schemes for the SOR method on local memory parallel computers. Parallel Comput. 14(1): 61-75 (1990)
1980 – 1989
- 1989
- [j3]Andreas Frommer:
Implementing Brown's method for systems of nonlinear equations with dense banded Jacobian. Computing 41(1-2): 123-129 (1989) - [j2]Andreas Frommer, Günter Mayer:
Safe bounds for the solutions of nonlinear problems using a parallel multisplitting method. Computing 42(2-3): 171-186 (1989) - 1988
- [j1]Andreas Frommer, Werner Straub:
Error-bounds for zeroes of polynomials using complex circular arithmetic. Computing 40(3): 273-280 (1988)
Coauthor Index
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