Andreas Frommer

Publication Activity (10 Years)

Years Active: 1988-2024
Publications (10 Years): 29

Top Topics

Top Venues

SIAM J. Matrix Anal. Appl.

Numer. Algorithms

Frontiers Neuroinformatics

Publications

Andreas Bartel, Malak Diab, Andreas Frommer, Michael Günther, Nicole Marheineke
Splitting Techniques for DAEs with port-Hamiltonian Applications. CoRR (2024)
Andreas Frommer, Gustavo Ramirez-Hidalgo, Marcel Schweitzer, Manuel Tsolakis
Polynomial Preconditioning for the Action of the Matrix Square Root and Inverse Square Root. CoRR (2024)
Andreas Frommer, Michele Rinelli, Marcel Schweitzer
Analysis of stochastic probing methods for estimating the trace of functions of sparse symmetric matrices. CoRR (2023)
Andreas Frommer, Karsten Kahl, Marcel Schweitzer, Manuel Tsolakis
Krylov Subspace Restarting for Matrix Laplace Transforms. SIAM J. Matrix Anal. Appl. 44 (2) (2023)
Andreas Frommer, Michael Günther, Björn Liljegren-Sailer, Nicole Marheineke
Operator splitting for port-Hamiltonian systems. CoRR (2023)
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) (2023)
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 (2023)
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 (2022)
Andreas Frommer, Gustavo Ramirez-Hidalgo
Deflated Multigrid Multilevel Monte Carlo. CoRR (2022)
Andreas Frommer, Karsten Kahl, Marcel Schweitzer, Manuel Tsolakis
Krylov subspace restarting for matrix Laplace transforms. CoRR (2022)
Liam Burke, Andreas Frommer, Gustavo Ramirez-Hidalgo, Kirk M. Soodhalter
Krylov Subspace Recycling For Matrix Functions. CoRR (2022)
Jesus Espinoza-Valverde, Andreas Frommer, Gustavo Ramirez-Hidalgo, Matthias Rottmann
Coarsest-level improvements in multigrid for lattice QCD on large-scale computers. CoRR (2022)
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) (2022)
Andreas Frommer, Daniel B. Szyld
On the Convergence of Randomized and Greedy Relaxation Schemes for Solving Nonsingular Linear Systems of Equations. CoRR (2022)
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) (2021)
Andreas Frommer, Karsten Kahl, Manuel Tsolakis
Matrix functions via linear systems built from continued fractions. CoRR (2021)
Edmond Chow, Andreas Frommer, Daniel B. Szyld
Asynchronous Richardson iterations: theory and practice. Numer. Algorithms 87 (4) (2021)
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 (2021)
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 (2021)
Andreas Frommer, Behnam Hashemi
Computing Enclosures for the Matrix Exponential. SIAM J. Matrix Anal. Appl. 41 (4) (2020)
Edmond Chow, Andreas Frommer, Daniel B. Szyld
Asynchronous Richardson iterations. CoRR (2020)
Andreas Frommer, Claudia Schimmel, Marcel Schweitzer
Analysis of probing techniques for sparse approximation and trace estimation of decaying matrix functions. CoRR (2020)
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) (2020)
Andreas Frommer, Birgit Jacob, Karsten Kahl, Christian Wyss, Ian Zwaan
Krylov type methods exploiting the quadratic numerical range. CoRR (2019)
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)
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 (2017)
Andreas Frommer, Kathryn Lund, Marcel Schweitzer, Daniel B. Szyld
The Radau-Lanczos Method for Matrix Functions. SIAM J. Matrix Anal. Appl. 38 (3) (2017)
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 (2016)
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) (2016)
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)
Andreas Frommer, Stefan Güttel, Marcel Schweitzer
Efficient and Stable Arnoldi Restarts for Matrix Functions Based on Quadrature. SIAM J. Matrix Anal. Appl. 35 (2) (2014)
Sebastian Birk, Andreas Frommer
A deflated conjugate gradient method for multiple right hand sides and multiple shifts. Numer. Algorithms 67 (3) (2014)
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 (2014)
Andreas Frommer, Stefan Güttel, Marcel Schweitzer
Convergence of Restarted Krylov Subspace Methods for Stieltjes Functions of Matrices. SIAM J. Matrix Anal. Appl. 35 (4) (2014)
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)
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 (2013)
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)
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) (2013)
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) (2011)
Xiaojun Chen, Andreas Frommer, Bruno Lang
-designs. Numerische Mathematik 117 (2) (2011)
Lars Eldén, Andreas Frommer
Data Mining, Networks and Dynamics (Dagstuhl Seminar 11451). Dagstuhl Reports 1 (11) (2011)
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) (2010)
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) (2010)
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 (2009)
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) (2009)
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) (2009)
Andreas Frommer, Behnam Hashemi
Verified Computation of Square Roots of a Matrix. SIAM J. Matrix Anal. Appl. 31 (3) (2009)
Andreas Frommer, Valeria Simoncini
Error Bounds for Lanczos Approximations of Rational Functions of Matrices. Numerical Validation in Current Hardware Architectures (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)
Andreas Frommer, Valeria Simoncini
Stopping Criteria for Rational Matrix Functions of Hermitian and Symmetric Matrices. SIAM J. Sci. Comput. 30 (3) (2008)
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)
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) (2007)
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)
David Fritzsche, Andreas Frommer, Daniel B. Szyld
Extensions of Certain Graph-based Algorithms for Preconditioning. SIAM J. Sci. Comput. 29 (5) (2007)
Andreas Frommer, Matthias Hüsken
Ensuring numerical quality in grid computing. HPDC (2006)
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) (2005)
Andreas Frommer, Bruno Lang
Existence Tests for Solutions of Nonlinear Equations Using Borsuk's Theorem. SIAM J. Numer. Anal. 43 (3) (2005)
Andreas Frommer, Bruno Lang, Marco Schnurr
A Comparison of the Moore and Miranda Existence Tests. Computing 72 (3-4) (2004)
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) (2004)
Robert Elsässer, Burkhard Monien, Robert Preis, Andreas Frommer
Optimal Diffusion Schemes And Load Balancing On Product Graphs. Parallel Process. Lett. 14 (1) (2004)
Andreas Frommer
BiCGStab(l) for Families of Shifted Linear Systems. Computing 70 (2) (2003)
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) (2002)
Michele Benzi, Andreas Frommer, Reinhard Nabben, Daniel B. Szyld
Algebraic theory of multiplicative Schwarz methods. Numerische Mathematik 89 (4) (2001)
Andreas Frommer, Daniel B. Szyld
An Algebraic Convergence Theory for Restricted Additive Schwarz Methods Using Weighted Max Norms. SIAM J. Numer. Anal. 39 (2) (2001)
Wolfgang Bietenholz, Norbert Eicker, Andreas Frommer, Thomas Lippert, Björn Medeke, Klaus Schilling
A Preconditioner for Improved Fermion Actions. Euro-Par (1999)
Andreas Frommer, Andre Weinberg
Verified Error Bounds for Linear Systems Through the Lanczos Process. Reliab. Comput. 5 (3) (1999)
Andreas Frommer, Peter Maass
Fast CG-Based Methods for Tikhonov-Phillips Regularization. SIAM J. Sci. Comput. 20 (5) (1999)
Ralf Diekmann, Andreas Frommer, Burkhard Monien
Efficient schemes for nearest neighbor load balancing. Parallel Comput. 25 (7) (1999)
Robert Elsässer, Andreas Frommer, Burkhard Monien, Robert Preis
Optimal and Alternating-Direction Load Balancing Schemes. Euro-Par (1999)
Andreas Frommer, Daniel B. Szyld
Weighted max norms, splittings, and overlapping additive Schwarz iterations. Numerische Mathematik 83 (2) (1999)
Andreas Frommer, Andre Weinberg
Verified Error Bounds for Linear Systems Through the Lanczos Process. SCAN (1998)
Ralf Diekmann, Andreas Frommer, Burkhard Monien
Nearest Neighbor Load Balancing on Graphs. ESA (1998)
Andreas Frommer, Uwe Glässner
Restarted GMRES for Shifted Linear Systems. SIAM J. Sci. Comput. 19 (1) (1998)
Andreas Frommer, Thomas Lippert, Klaus Schilling
Scalable Parallel SSOR Preconditioning for Lattice Computations in Gauce Theories. Euro-Par (1997)
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)
Andreas Frommer, Hartmut Schwandt
A Unified Representation and Theory of Algebraic Additive Schwarz and Multisplitting Methods. SIAM J. Matrix Anal. Appl. 18 (4) (1997)
Andreas Frommer
SCAN'95: International symposium on scientific computing, computer arithmetic and validated numerics. Reliab. Comput. 2 (1) (1996)
Götz Alefeld, Andreas Frommer, Bruno Lang
Preface. Reliab. Comput. 2 (2) (1996)
Andreas Frommer, Bert Pohl
A comparison result for multisplittings and waveform relaxation methods. Numer. Linear Algebra Appl. 2 (4) (1995)
Andreas Frommer, Günter Mayer
A New Criterion to Guarantee the Feasibility of the Interval Gaussian Algorithm. SIAM J. Matrix Anal. Appl. 14 (2) (1993)
Andreas Frommer, Günter Mayer
On the theory and practice of multisplitting methods in parallel computation. Computing 49 (1) (1992)
Andreas Frommer
Orders of convergence for superlineary convergent chaotic iterations. Computing 47 (1) (1991)
Andreas Frommer, Günter Mayer
Efficient methods for enclosing solutions of systems of nonlinear equations. Computing 44 (3) (1990)
Uwe Block, Andreas Frommer, Günter Mayer
Block colouring schemes for the SOR method on local memory parallel computers. Parallel Comput. 14 (1) (1990)
Andreas Frommer, Günter Mayer
Safe bounds for the solutions of nonlinear problems using a parallel multisplitting method. Computing 42 (2-3) (1989)
Andreas Frommer
Implementing Brown's method for systems of nonlinear equations with dense banded Jacobian. Computing 41 (1-2) (1989)
Andreas Frommer, Werner Straub
Error-bounds for zeroes of polynomials using complex circular arithmetic. Computing 40 (3) (1988)