Andreas Frommer

Karsten Kahl

CoRR, 2022

Deflated Multigrid Multilevel Monte Carlo.

[BibT_eX]

[DOI]

Gustavo Ramirez-Hidalgo

CoRR, 2022

Krylov Subspace Recycling For Matrix Functions.

[BibT_eX]

[DOI]

Liam Burke

Gustavo Ramirez-Hidalgo

Kirk M. Soodhalter

CoRR, 2022

2021

Analysis of Probing Techniques for Sparse Approximation and Trace Estimation of Decaying Matrix Functions.

[BibT_eX]

[DOI]

Claudia Schimmel

SIAM J. Matrix Anal. Appl., 2021

Asynchronous Richardson iterations: theory and practice.

[BibT_eX]

[DOI]

Edmond Chow

Numer. Algorithms, 2021

A multigrid accelerated eigensolver for the Hermitian Wilson-Dirac operator in lattice QCD.

[BibT_eX]

[DOI]

Comput. Phys. Commun., 2021

Matrix functions via linear systems built from continued fractions.

[BibT_eX]

[DOI]

Karsten Kahl

Manuel Tsolakis

CoRR, 2021

2020

Block Krylov Subspace Methods for Functions of Matrices II: Modified Block FOM.

[BibT_eX]

[DOI]

Kathryn Lund

SIAM J. Matrix Anal. Appl., 2020

Computing Enclosures for the Matrix Exponential.

[BibT_eX]

[DOI]

Behnam Hashemi

SIAM J. Matrix Anal. Appl., 2020

Asynchronous Richardson iterations.

[BibT_eX]

[DOI]

Edmond Chow

CoRR, 2020

2019

Krylov type methods exploiting the quadratic numerical range.

[BibT_eX]

[DOI]

CoRR, 2019

2018

Bounds for the decay of the entries in inverses and Cauchy-Stieltjes functions of certain sparse, normal matrices.

[BibT_eX]

[DOI]

Claudia Schimmel

Numer. Linear Algebra Appl., 2018

2017

The Radau-Lanczos Method for Matrix Functions.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2017

Integration of Continuous-Time Dynamics in a Spiking Neural Network Simulator.

[BibT_eX]

[DOI]

Frontiers Neuroinformatics, 2017

2016

Multigrid preconditioning for the overlap operator in lattice QCD.

[BibT_eX]

[DOI]

Numerische Mathematik, 2016

On short recurrence Krylov type methods for linear systems with many right-hand sides.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2016

2015

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

[BibT_eX]

[DOI]

Frontiers Neuroinformatics, 2015

Including Gap Junctions into Distributed Neuronal Network Simulations.

[BibT_eX]

[DOI]

Proceedings of the Brain-Inspired Computing - Second International Workshop, 2015

2014

Adaptive Aggregation-Based Domain Decomposition Multigrid for the Lattice Wilson-Dirac Operator.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2014

Convergence of Restarted Krylov Subspace Methods for Stieltjes Functions of Matrices.

[BibT_eX]

[DOI]

Stefan Güttel

SIAM J. Matrix Anal. Appl., 2014

Efficient and Stable Arnoldi Restarts for Matrix Functions Based on Quadrature.

[BibT_eX]

[DOI]

Stefan Güttel

SIAM J. Matrix Anal. Appl., 2014

A deflated conjugate gradient method for multiple right hand sides and multiple shifts.

[BibT_eX]

[DOI]

Sebastian Birk

Numer. Algorithms, 2014

2013

Overlapping Blocks by Growing a Partition with Applications to Preconditioning.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2013

2-Norm Error Bounds and Estimates for Lanczos Approximations to Linear Systems and Rational Matrix Functions.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2013

Assessment of the potentials of implicit integration method in discrete element modelling of granular matter.

[BibT_eX]

[DOI]

Comput. Chem. Eng., 2013

2011

A Bootstrap Algebraic Multilevel Method for Markov Chains.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2011

Computational existence proofs for spherical <i>t</i>-designs.

[BibT_eX]

[DOI]

Xiaojun Chen

Numerische Mathematik, 2011

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

[BibT_eX]

[DOI]

Lars Eldén

Dagstuhl Reports, 2011

2010

QPACE: power-efficient parallel architecture based on IBM PowerXCell 8i.

[BibT_eX]

[DOI]

Comput. Sci. Res. Dev., 2010

Short-recurrence Krylov subspace methods for the overlap Dirac operator at nonzero chemical potential.

[BibT_eX]

[DOI]

Comput. Phys. Commun., 2010

2009

Verified Computation of Square Roots of a Matrix.

[BibT_eX]

[DOI]

Behnam Hashemi

SIAM J. Matrix Anal. Appl., 2009

A framework for existence tests based on the topological degree and homotopy.

[BibT_eX]

[DOI]

Numerische Mathematik, 2009

Numerical methods for the QCD overlap operator IV: Hybrid Monte Carlo.

[BibT_eX]

[DOI]

Comput. Phys. Commun., 2009

QPACE - a QCD parallel computer based on Cell processors.

[BibT_eX]

[DOI]

CoRR, 2009

2008

Stopping Criteria for Rational Matrix Functions of Hermitian and Symmetric Matrices.

[BibT_eX]

[DOI]

Valeria Simoncini

SIAM J. Sci. Comput., 2008

Convergence of Stationary Iterative Methods for Hermitian Semidefinite Linear Systems and Applications to Schwarz Methods.

[BibT_eX]

[DOI]

Reinhard Nabben

SIAM J. Matrix Anal. Appl., 2008

Error Bounds for Lanczos Approximations of Rational Functions of Matrices.

[BibT_eX]

[DOI]

Valeria Simoncini

Proceedings of the Numerical Validation in Current Hardware Architectures, 2008

2007

Extensions of Certain Graph-based Algorithms for Preconditioning.

[BibT_eX]

[DOI]

David Fritzsche

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.

[BibT_eX]

[DOI]

Comput. Phys. Commun., 2007

07071 Abstracts Collection -- Web Information Retrieval and Linear Algebra Algorithms.

[BibT_eX]

[DOI]

Michael W. Mahoney

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.

[BibT_eX]

[DOI]

Michael W. Mahoney

Proceedings of the Web Information Retrieval and Linear Algebra Algorithms, 11.02., 2007

Zahlentheorie (4. Aufl.).

[BibT_eX]

Harald Scheid

Elsevier Spektrum Akadem. Verl., ISBN: 978-3-8274-1692-6, 2007

2006

Ensuring numerical quality in grid computing.

[BibT_eX]

[DOI]

Matthias Hüsken

Proceedings of the 15th IEEE International Symposium on High Performance Distributed Computing, 2006

2005

Existence Tests for Solutions of Nonlinear Equations Using Borsuk's Theorem.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2005

Numerical methods for the QCD overlap operator: III. Nested iterations.

[BibT_eX]

[DOI]

Comput. Phys. Commun., 2005

2004

Optimal Diffusion Schemes And Load Balancing On Product Graphs.

[BibT_eX]

[DOI]

Parallel Process. Lett., 2004

The new nonprobabilistic criterion of failure for dynamical systems based on convex models.

[BibT_eX]

[DOI]

Zhiping P. Qiu

Peter C. Müller

Math. Comput. Model., 2004

A Comparison of the Moore and Miranda Existence Tests.

[BibT_eX]

[DOI]

Marco Schnurr

Computing, 2004

2003

BiCGStab(l) for Families of Shifted Linear Systems.

[BibT_eX]

[DOI]

Computing, 2003

2002

Cluster-Computing und Computational Science mit der Wuppertaler Alpha-Linux-Cluster-Engine ALiCE.

[BibT_eX]

[DOI]

Prax. Inf.verarb. Kommun., 2002

2001

An Algebraic Convergence Theory for Restricted Additive Schwarz Methods Using Weighted Max Norms.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2001

Algebraic theory of multiplicative Schwarz methods.

[BibT_eX]

[DOI]

Numerische Mathematik, 2001

A Feasibility Result for Interval Gaussian Elimination Relying on Graph Structure.

[BibT_eX]

[DOI]

Proceedings of the Symbolic Algebraic Methods and Verification Methods, 2001

Proving Conjectures by Use of Interval Arithmetic.

[BibT_eX]

[DOI]

Proceedings of the Perspectives on Enclosure Methods, 2001

1999

Fast CG-Based Methods for Tikhonov-Phillips Regularization.

[BibT_eX]

[DOI]

Peter Maass

SIAM J. Sci. Comput., 1999

Verified Error Bounds for Linear Systems Through the Lanczos Process.

[BibT_eX]

[DOI]

Andre Weinberg

Reliab. Comput., 1999

Efficient schemes for nearest neighbor load balancing.

[BibT_eX]

[DOI]

Ralf Diekmann

Burkhard Monien

Parallel Comput., 1999

Weighted max norms, splittings, and overlapping additive Schwarz iterations.

[BibT_eX]

[DOI]

Numerische Mathematik, 1999

Optimal and Alternating-Direction Load Balancing Schemes.

[BibT_eX]

[DOI]

Proceedings of the Euro-Par '99 Parallel Processing, 5th International Euro-Par Conference, Toulouse, France, August 31, 1999

A Preconditioner for Improved Fermion Actions.

[BibT_eX]

[DOI]

Proceedings of the Euro-Par '99 Parallel Processing, 5th International Euro-Par Conference, Toulouse, France, August 31, 1999

1998

Restarted GMRES for Shifted Linear Systems.

[BibT_eX]

[DOI]

Uwe Glässner

SIAM J. Sci. Comput., 1998

Nearest Neighbor Load Balancing on Graphs.

[BibT_eX]

[DOI]

Ralf Diekmann

Burkhard Monien

Proceedings of the Algorithms, 1998

1997

A Unified Representation and Theory of Algebraic Additive Schwarz and Multisplitting Methods.

[BibT_eX]

[DOI]

Hartmut Schwandt

SIAM J. Matrix Anal. Appl., October, 1997

A Scalable Parallel SSOR Preconditioner for Efficient Lattice Computations in Gauge Theories.

[BibT_eX]

Proceedings of the Parallel Computing: Fundamentals, 1997

Scalable Parallel SSOR Preconditioning for Lattice Computations in Gauce Theories.

[BibT_eX]

[DOI]

Thomas Lippert

Klaus Schilling

Proceedings of the Euro-Par '97 Parallel Processing, 1997

1996

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

[BibT_eX]

[DOI]

Reliab. Comput., 1996

Preface.

[BibT_eX]

[DOI]

Götz Alefeld

Reliab. Comput., 1996

1995

A comparison result for multisplittings and waveform relaxation methods.

[BibT_eX]

[DOI]

Bert Pohl

Numer. Linear Algebra Appl., 1995

1993

A New Criterion to Guarantee the Feasibility of the Interval Gaussian Algorithm.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., April, 1993

1992

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

[BibT_eX]

[DOI]

Computing, 1992

1991

Orders of convergence for superlineary convergent chaotic iterations.

[BibT_eX]

[DOI]

Computing, 1991

1990

Block colouring schemes for the SOR method on local memory parallel computers.

[BibT_eX]

[DOI]

Uwe Block

Parallel Comput., 1990

Efficient methods for enclosing solutions of systems of nonlinear equations.

[BibT_eX]

[DOI]

Computing, 1990

Lösung linearer Gleichungssysteme auf Parallelrechnern.

[BibT_eX]

Vieweg, ISBN: 978-3-528-06397-9, 1990

1989

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

[BibT_eX]

[DOI]

Computing, 1989

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

[BibT_eX]

[DOI]

Computing, 1989

1988

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

[BibT_eX]

[DOI]