Andreas Frommer

  • University of Wuppertal

According to our database1, Andreas Frommer authored at least 84 papers between 1988 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.



In proceedings 
PhD thesis 


Online presence:



Polynomial Preconditioning for the Action of the Matrix Square Root and Inverse Square Root.
CoRR, 2024

Coarsest-level improvements in multigrid for lattice QCD on large-scale computers.
Comput. Phys. Commun., November, 2023

Krylov Subspace Restarting for Matrix Laplace Transforms.
SIAM J. Matrix Anal. Appl., June, 2023

On the convergence of randomized and greedy relaxation schemes for solving nonsingular linear systems of equations.
Numer. Algorithms, January, 2023

Analysis of stochastic probing methods for estimating the trace of functions of sparse symmetric matrices.
CoRR, 2023

Operator splitting for port-Hamiltonian systems.
CoRR, 2023

A Multilevel Approach to Variance Reduction in the Stochastic Estimation of the Trace of a Matrix.
SIAM J. Sci. Comput., August, 2022

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

Deflated Multigrid Multilevel Monte Carlo.
CoRR, 2022

Krylov Subspace Recycling For Matrix Functions.
CoRR, 2022

Analysis of Probing Techniques for Sparse Approximation and Trace Estimation of Decaying Matrix Functions.
SIAM J. Matrix Anal. Appl., 2021

Asynchronous Richardson iterations: theory and practice.
Numer. Algorithms, 2021

A multigrid accelerated eigensolver for the Hermitian Wilson-Dirac operator in lattice QCD.
Comput. Phys. Commun., 2021

Matrix functions via linear systems built from continued fractions.
CoRR, 2021

Block Krylov Subspace Methods for Functions of Matrices II: Modified Block FOM.
SIAM J. Matrix Anal. Appl., 2020

Computing Enclosures for the Matrix Exponential.
SIAM J. Matrix Anal. Appl., 2020

Asynchronous Richardson iterations.
CoRR, 2020

Krylov type methods exploiting the quadratic numerical range.
CoRR, 2019

Bounds for the decay of the entries in inverses and Cauchy-Stieltjes functions of certain sparse, normal matrices.
Numer. Linear Algebra Appl., 2018

The Radau-Lanczos Method for Matrix Functions.
SIAM J. Matrix Anal. Appl., 2017

Integration of Continuous-Time Dynamics in a Spiking Neural Network Simulator.
Frontiers Neuroinformatics, 2017

Multigrid preconditioning for the overlap operator in lattice QCD.
Numerische Mathematik, 2016

On short recurrence Krylov type methods for linear systems with many right-hand sides.
J. Comput. Appl. Math., 2016

A unified framework for spiking and gap-junction interactions in distributed neuronal network simulations.
Frontiers Neuroinformatics, 2015

Including Gap Junctions into Distributed Neuronal Network Simulations.
Proceedings of the Brain-Inspired Computing - Second International Workshop, 2015

Adaptive Aggregation-Based Domain Decomposition Multigrid for the Lattice Wilson-Dirac Operator.
SIAM J. Sci. Comput., 2014

Convergence of Restarted Krylov Subspace Methods for Stieltjes Functions of Matrices.
SIAM J. Matrix Anal. Appl., 2014

Efficient and Stable Arnoldi Restarts for Matrix Functions Based on Quadrature.
SIAM J. Matrix Anal. Appl., 2014

A deflated conjugate gradient method for multiple right hand sides and multiple shifts.
Numer. Algorithms, 2014

Overlapping Blocks by Growing a Partition with Applications to Preconditioning.
SIAM J. Sci. Comput., 2013

2-Norm Error Bounds and Estimates for Lanczos Approximations to Linear Systems and Rational Matrix Functions.
SIAM J. Matrix Anal. Appl., 2013

Assessment of the potentials of implicit integration method in discrete element modelling of granular matter.
Comput. Chem. Eng., 2013

A Bootstrap Algebraic Multilevel Method for Markov Chains.
SIAM J. Sci. Comput., 2011

Computational existence proofs for spherical <i>t</i>-designs.
Numerische Mathematik, 2011

Data Mining, Networks and Dynamics (Dagstuhl Seminar 11451).
Dagstuhl Reports, 2011

QPACE: power-efficient parallel architecture based on IBM PowerXCell 8i.
Comput. Sci. Res. Dev., 2010

Short-recurrence Krylov subspace methods for the overlap Dirac operator at nonzero chemical potential.
Comput. Phys. Commun., 2010

Verified Computation of Square Roots of a Matrix.
SIAM J. Matrix Anal. Appl., 2009

A framework for existence tests based on the topological degree and homotopy.
Numerische Mathematik, 2009

Numerical methods for the QCD overlap operator IV: Hybrid Monte Carlo.
Comput. Phys. Commun., 2009

QPACE - a QCD parallel computer based on Cell processors.
CoRR, 2009

Stopping Criteria for Rational Matrix Functions of Hermitian and Symmetric Matrices.
SIAM J. Sci. Comput., 2008

Convergence of Stationary Iterative Methods for Hermitian Semidefinite Linear Systems and Applications to Schwarz Methods.
SIAM J. Matrix Anal. Appl., 2008

Error Bounds for Lanczos Approximations of Rational Functions of Matrices.
Proceedings of the Numerical Validation in Current Hardware Architectures, 2008

Extensions of Certain Graph-based Algorithms for Preconditioning.
SIAM J. Sci. Comput., 2007

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., 2007

07071 Abstracts Collection -- Web Information Retrieval and Linear Algebra Algorithms.
Proceedings of the Web Information Retrieval and Linear Algebra Algorithms, 11.02., 2007

07071 Report on Dagstuhl Seminar -- Web Information Retrieval and Linear Algebra Algorithms.
Proceedings of the Web Information Retrieval and Linear Algebra Algorithms, 11.02., 2007

Zahlentheorie (4. Aufl.).
Elsevier Spektrum Akadem. Verl., ISBN: 978-3-8274-1692-6, 2007

Ensuring numerical quality in grid computing.
Proceedings of the 15th IEEE International Symposium on High Performance Distributed Computing, 2006

Existence Tests for Solutions of Nonlinear Equations Using Borsuk's Theorem.
SIAM J. Numer. Anal., 2005

Numerical methods for the QCD overlap operator: III. Nested iterations.
Comput. Phys. Commun., 2005

Optimal Diffusion Schemes And Load Balancing On Product Graphs.
Parallel Process. Lett., 2004

The new nonprobabilistic criterion of failure for dynamical systems based on convex models.
Math. Comput. Model., 2004

A Comparison of the Moore and Miranda Existence Tests.
Computing, 2004

BiCGStab(l) for Families of Shifted Linear Systems.
Computing, 2003

Cluster-Computing und Computational Science mit der Wuppertaler Alpha-Linux-Cluster-Engine ALiCE.
Prax. Inf.verarb. Kommun., 2002

An Algebraic Convergence Theory for Restricted Additive Schwarz Methods Using Weighted Max Norms.
SIAM J. Numer. Anal., 2001

Algebraic theory of multiplicative Schwarz methods.
Numerische Mathematik, 2001

A Feasibility Result for Interval Gaussian Elimination Relying on Graph Structure.
Proceedings of the Symbolic Algebraic Methods and Verification Methods, 2001

Proving Conjectures by Use of Interval Arithmetic.
Proceedings of the Perspectives on Enclosure Methods, 2001

Fast CG-Based Methods for Tikhonov-Phillips Regularization.
SIAM J. Sci. Comput., 1999

Verified Error Bounds for Linear Systems Through the Lanczos Process.
Reliab. Comput., 1999

Efficient schemes for nearest neighbor load balancing.
Parallel Comput., 1999

Weighted max norms, splittings, and overlapping additive Schwarz iterations.
Numerische Mathematik, 1999

Optimal and Alternating-Direction Load Balancing Schemes.
Proceedings of the Euro-Par '99 Parallel Processing, 5th International Euro-Par Conference, Toulouse, France, August 31, 1999

A Preconditioner for Improved Fermion Actions.
Proceedings of the Euro-Par '99 Parallel Processing, 5th International Euro-Par Conference, Toulouse, France, August 31, 1999

Restarted GMRES for Shifted Linear Systems.
SIAM J. Sci. Comput., 1998

Nearest Neighbor Load Balancing on Graphs.
Proceedings of the Algorithms, 1998

A Unified Representation and Theory of Algebraic Additive Schwarz and Multisplitting Methods.
SIAM J. Matrix Anal. Appl., October, 1997

A Scalable Parallel SSOR Preconditioner for Efficient Lattice Computations in Gauge Theories.
Proceedings of the Parallel Computing: Fundamentals, 1997

Scalable Parallel SSOR Preconditioning for Lattice Computations in Gauce Theories.
Proceedings of the Euro-Par '97 Parallel Processing, 1997

SCAN'95: International symposium on scientific computing, computer arithmetic and validated numerics.
Reliab. Comput., 1996

Reliab. Comput., 1996

A comparison result for multisplittings and waveform relaxation methods.
Numer. Linear Algebra Appl., 1995

A New Criterion to Guarantee the Feasibility of the Interval Gaussian Algorithm.
SIAM J. Matrix Anal. Appl., April, 1993

On the theory and practice of multisplitting methods in parallel computation.
Computing, 1992

Orders of convergence for superlineary convergent chaotic iterations.
Computing, 1991

Block colouring schemes for the SOR method on local memory parallel computers.
Parallel Comput., 1990

Efficient methods for enclosing solutions of systems of nonlinear equations.
Computing, 1990

Lösung linearer Gleichungssysteme auf Parallelrechnern.
Vieweg, ISBN: 978-3-528-06397-9, 1990

Safe bounds for the solutions of nonlinear problems using a parallel multisplitting method.
Computing, 1989

Implementing Brown's method for systems of nonlinear equations with dense banded Jacobian.
Computing, 1989

Error-bounds for zeroes of polynomials using complex circular arithmetic.
Computing, 1988