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Computing Enclosures for the Matrix Exponential

SIAM journal on matrix analysis and applications, 2020-01, Vol.41 (4), p.1674-1703

2020

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

Numerical algorithms, 2014-11, Vol.67 (3), p.507-529

2014

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Die Mathematik an der Bergischen Universität Wuppertal

Mitteilungen der Deutschen Mathematiker-Vereinigung, 2023-09, Vol.31 (3), p.199-201

Frommer, Andreas

2023

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Computing enclosures for the inverse square root and the sign function of a matrix

Linear algebra and its applications, 2014-09, Vol.456, p.199-213

2014

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

Frontiers in neuroinformatics, 2017-05, Vol.11, p.34-34

2017

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VERIFIED COMPUTATION OF SQUARE ROOTS OF A MATRIX

SIAM journal on matrix analysis and applications, 2009-01, Vol.31 (3), p.1279-1302

2009

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

SIAM journal on matrix analysis and applications, 2021-01, Vol.42 (3), p.1290-1318

2021

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Adaptive aggregation-based domain decomposition multigrid for twisted mass fermions

Physical review. D, 2016-12, Vol.94 (11), Article 114509

2016

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Coarsest-level improvements in multigrid for lattice QCD on large-scale computers

Computer physics communications, 2023-11, Vol.292, p.108869, Article 108869

2023

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A Multilevel Approach to Variance Reduction in the Stochastic Estimation of the Trace of a Matrix

SIAM journal on scientific computing, 2022-01, Vol.44 (4), p.A2536-A2556

2022

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

SIAM journal on matrix analysis and applications, 2020-01, Vol.41 (2), p.804-837

2020

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Efficient and Stable Arnoldi Restarts for Matrix Functions Based on Quadrature

SIAM journal on matrix analysis and applications, 2014-01, Vol.35 (2), p.661-683

2014

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BLOCK KRYLOV SUBSPACE METHODS FOR FUNCTIONS OF MATRICES

Electronic transactions on numerical analysis, 2017-08, Vol.47

2017

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Error bounds and estimates for Krylov subspace approximations of Stieltjes matrix functions

BIT, 2016-09, Vol.56 (3), p.865-892

2016

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

SIAM journal on numerical analysis, 2001-01, Vol.39 (2), p.463-479

2001

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

SIAM journal on matrix analysis and applications, 2020-05, Vol.41 (2)

2020

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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

BIT, 2023-12, Vol.63 (4), Article 57

2023

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Polynomial preconditioning for the action of the matrix square root and inverse square root

Electronic transactions on numerical analysis, 2024, Vol.60, p.381-404

2024

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

Numerical linear algebra with applications, 2018-08, Vol.25 (4), p.n/a

2018

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Asynchronous Richardson iterations: theory and practice

Numerical algorithms, 2020-10, Vol.87 (4)

2020

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On the convergence of randomized and greedy relaxation schemes for solving nonsingular linear systems of equations

Numerical algorithms, 2023, Vol.92 (1), p.639-664

2023

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Fast CG-based methods for Tikhonov-Phillips regularization

SIAM journal on scientific computing, 1999, Vol.20 (5), p.1831-1850

1999

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Non-Toeplitz decay bounds for inverses of Hermitian positive definite tridiagonal matrices

Electronic transactions on numerical analysis, 2018-01, Vol.48, p.362-372

2018

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Asynchronous Richardson iterations: theory and practice

Numerical algorithms, 2021-08, Vol.87 (4), p.1635-1651

2021

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Convergence of Restarted Krylov Subspace Methods for Stieltjes Functions of Matrices

SIAM journal on matrix analysis and applications, 2014-01, Vol.35 (4), p.1602-1624

2014

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Computing Enclosures for the Matrix Exponential

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

Die Mathematik an der Bergischen Universität Wuppertal

Computing enclosures for the inverse square root and the sign function of a matrix

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

VERIFIED COMPUTATION OF SQUARE ROOTS OF A MATRIX

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

Adaptive aggregation-based domain decomposition multigrid for twisted mass fermions

Coarsest-level improvements in multigrid for lattice QCD on large-scale computers

A Multilevel Approach to Variance Reduction in the Stochastic Estimation of the Trace of a Matrix

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

Efficient and Stable Arnoldi Restarts for Matrix Functions Based on Quadrature

BLOCK KRYLOV SUBSPACE METHODS FOR FUNCTIONS OF MATRICES

Error bounds and estimates for Krylov subspace approximations of Stieltjes matrix functions

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

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

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

Polynomial preconditioning for the action of the matrix square root and inverse square root

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

Asynchronous Richardson iterations: theory and practice

On the convergence of randomized and greedy relaxation schemes for solving nonsingular linear systems of equations

Fast CG-based methods for Tikhonov-Phillips regularization

Non-Toeplitz decay bounds for inverses of Hermitian positive definite tridiagonal matrices

Asynchronous Richardson iterations: theory and practice

Convergence of Restarted Krylov Subspace Methods for Stieltjes Functions of Matrices

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