Daniel Kressner

SIAM J. Matrix Anal. Appl., March, 2024

Speeding Up Krylov Subspace Methods for Computing \(\boldsymbol{{f}(A){b}}\) via Randomization.

[BibT_eX]

[DOI]

Yuji Nakatsukasa

SIAM J. Matrix Anal. Appl., March, 2024

Computing Functions of Symmetric Hierarchically Semiseparable Matrices.

[BibT_eX]

[DOI]

Angelo A. Casulli

CoRR, 2024

A randomized algorithm for simultaneously diagonalizing symmetric matrices by congruence.

[BibT_eX]

[DOI]

Haoze He

CoRR, 2024

2023

A mixed precision LOBPCG algorithm.

[BibT_eX]

[DOI]

Yuxin Ma

Meiyue Shao

Numer. Algorithms, December, 2023

Streaming Tensor Train Approximation.

[BibT_eX]

[DOI]

Rik Voorhaar

SIAM J. Sci. Comput., October, 2023

Improved ParaDiag via low-rank updates and interpolation.

[BibT_eX]

[DOI]

Junli Zhu

Numerische Mathematik, October, 2023

Randomized Low-Rank Approximation of Monotone Matrix Functions.

[BibT_eX]

[DOI]

David Persson

SIAM J. Matrix Anal. Appl., June, 2023

Low-Rank Tensor Approximations for Solving Multimarginal Optimal Transport Problems.

[BibT_eX]

[DOI]

SIAM J. Imaging Sci., March, 2023

Iterative refinement of Schur decompositions.

[BibT_eX]

[DOI]

Christian Schröder

Numer. Algorithms, January, 2023

From low-rank retractions to dynamical low-rank approximation and back.

[BibT_eX]

[DOI]

Axel Séguin

Gianluca Ceruti

CoRR, 2023

Subspace Acceleration for a Sequence of Linear Systems and Application to Plasma Simulation.

[BibT_eX]

[DOI]

Margherita Guido

Paolo Ricci

CoRR, 2023

Analysis of a class of randomized numerical methods for singular matrix pencils.

[BibT_eX]

[DOI]

Bor Plestenjak

CoRR, 2023

On the approximation of vector-valued functions by samples.

[BibT_eX]

[DOI]

Tingting Ni

CoRR, 2023

Randomized low-rank approximation of parameter-dependent matrices.

[BibT_eX]

[DOI]

Hei Yin Lam

CoRR, 2023

2022

Improved Variants of the Hutch++ Algorithm for Trace Estimation.

[BibT_eX]

[DOI]

David Persson

SIAM J. Matrix Anal. Appl., 2022

Divide-and-Conquer Methods for Functions of Matrices with Banded or Hierarchical Low-Rank Structure.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2022

Continuation Methods for Riemannian Optimization.

[BibT_eX]

[DOI]

Axel Séguin

SIAM J. Optim., 2022

Hierarchical adaptive low-rank format with applications to discretized partial differential equations.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2022

On Randomized Trace Estimates for Indefinite Matrices with an Application to Determinants.

[BibT_eX]

[DOI]

Found. Comput. Math., 2022

Speeding up Krylov subspace methods for computing f(A)b via randomization.

[BibT_eX]

[DOI]

Yuji Nakatsukasa

CoRR, 2022

Hermite interpolation with retractions on manifolds.

[BibT_eX]

[DOI]

Axel Séguin

CoRR, 2022

Randomized sketching of nonlinear eigenvalue problems.

[BibT_eX]

[DOI]

Stefan Güttel

CoRR, 2022

Approximation in the extended functional tensor train format.

[BibT_eX]

[DOI]

Bonan Sun

CoRR, 2022

Singular quadratic eigenvalue problems: Linearization and weak condition numbers.

[BibT_eX]

[DOI]

Ivana Sain Glibic

CoRR, 2022

Improved parallel-in-time integration via low-rank updates and interpolation.

[BibT_eX]

[DOI]

Junli Zhu

CoRR, 2022

Low-rank tensor approximations for solving multi-marginal optimal transport problems.

[BibT_eX]

[DOI]

CoRR, 2022

2021

Functional Tucker Approximation Using Chebyshev Interpolation.

[BibT_eX]

[DOI]

Sergey Dolgov

SIAM J. Sci. Comput., 2021

Low-Rank Updates of Matrix Functions II: Rational Krylov Methods.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2021

Norm and Trace Estimation with Random Rank-one Vectors.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2021

A fast spectral divide-and-conquer method for banded matrices.

[BibT_eX]

[DOI]

Ana Susnjara

Numer. Linear Algebra Appl., 2021

Compress-and-restart block Krylov subspace methods for Sylvester matrix equations.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2021

Fast global spectral methods for three-dimensional partial differential equations.

[BibT_eX]

[DOI]

CoRR, 2021

Hierarchical adaptive low-rank format with applications to discretized PDEs.

[BibT_eX]

[DOI]

CoRR, 2021

A Flexible Power Method for Solving Infinite Dimensional Tensor Eigenvalue Problems.

[BibT_eX]

[DOI]

CoRR, 2021

Computing low-rank rightmost eigenpairs of a class of matrix-valued linear operators.

[BibT_eX]

[DOI]

Carmela Scalone

Adv. Comput. Math., 2021

2020

hm-toolbox: MATLAB Software for HODLR and HSS Matrices.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2020

Low-Rank Approximation in the Frobenius Norm by Column and Row Subset Selection.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2020

Low-Rank Tensor Approximation for Chebyshev Interpolation in Parametric Option Pricing.

[BibT_eX]

[DOI]

Kathrin Glau

Francesco Statti

SIAM J. Financial Math., 2020

Low-rank updates and divide-and-conquer methods for quadratic matrix equations.

[BibT_eX]

[DOI]

Patrick Kürschner

Numer. Algorithms, 2020

Recursive blocked algorithms for linear systems with Kronecker product structure.

[BibT_eX]

[DOI]

Minhong Chen

Numer. Algorithms, 2020

A bivariate extension of the Crouzeix-Palencia result with an application to Fréchet derivatives of matrix functions.

[BibT_eX]

[DOI]

Michel Crouzeix

CoRR, 2020

Limited-memory polynomial methods for large-scale matrix functions.

[BibT_eX]

[DOI]

Stefan Güttel

Kathryn Lund

CoRR, 2020

Certified and fast computations with shallow covariance kernels.

[BibT_eX]

[DOI]

CoRR, 2020

Quasi-Optimal Sampling to Learn Basis Updates for Online Adaptive Model Reduction with Adaptive Empirical Interpolation.

[BibT_eX]

[DOI]

Benjamin Peherstorfer

Proceedings of the 2020 American Control Conference, 2020

2019

Low-Rank Updates and a Divide-And-Conquer Method for Linear Matrix Equations.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2019

On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices.

[BibT_eX]

[DOI]

CoRR, 2019

2018

Distributed Signal Processing via Chebyshev Polynomial Approximation.

[BibT_eX]

[DOI]

IEEE Trans. Signal Inf. Process. over Networks, 2018

Subspace Acceleration for the Crawford Number and Related Eigenvalue Optimization Problems.

[BibT_eX]

[DOI]

Ding Lu

SIAM J. Matrix Anal. Appl., 2018

Fast Computation of the Matrix Exponential for a Toeplitz Matrix.

[BibT_eX]

[DOI]

Robert Luce

SIAM J. Matrix Anal. Appl., 2018

A Householder-Based Algorithm for Hessenberg-Triangular Reduction.

[BibT_eX]

[DOI]

Lars Karlsson

SIAM J. Matrix Anal. Appl., 2018

Low-Rank Updates of Matrix Functions.

[BibT_eX]

[DOI]

Bernhard Beckermann

Marcel Schweitzer

SIAM J. Matrix Anal. Appl., 2018

7th Workshop on Matrix Equations and Tensor Techniques.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2018

2017

Learning Heat Diffusion Graphs.

[BibT_eX]

[DOI]

IEEE Trans. Signal Inf. Process. over Networks, 2017

Recompression of Hadamard Products of Tensors in Tucker Format.

[BibT_eX]

[DOI]

Lana Perisa

SIAM J. Sci. Comput., 2017

Fast Computation of Spectral Projectors of Banded Matrices.

[BibT_eX]

[DOI]

Ana Susnjara

SIAM J. Matrix Anal. Appl., 2017

Structure-Preserving Low Multilinear Rank Approximation of Antisymmetric Tensors.

[BibT_eX]

[DOI]

Erna Begovic Kovac

SIAM J. Matrix Anal. Appl., 2017

A Novel Iterative Method To Approximate Structured Singular Values.

[BibT_eX]

[DOI]

Mutti-Ur Rehman

SIAM J. Matrix Anal. Appl., 2017

Perturbation of Higher-Order Singular Values.

[BibT_eX]

[DOI]

Wolfgang Hackbusch

SIAM J. Appl. Algebra Geom., 2017

2016

Preconditioned Low-rank Riemannian Optimization for Linear Systems with Tensor Product Structure.

[BibT_eX]

[DOI]

Michael Steinlechner

SIAM J. Sci. Comput., 2016

Reduced Basis Methods: From Low-Rank Matrices to Low-Rank Tensors.

[BibT_eX]

[DOI]

Jonas Ballani

SIAM J. Sci. Comput., 2016

Subspace Acceleration for Large-Scale Parameter-Dependent Hermitian Eigenproblems.

[BibT_eX]

[DOI]

Petar Sirkovic

SIAM J. Matrix Anal. Appl., 2016

Parallel algorithms for tensor completion in the CP format.

[BibT_eX]

[DOI]

Lars Karlsson

Parallel Comput., 2016

A block algorithm for computing antitriangular factorizations of symmetric matrices.

[BibT_eX]

[DOI]

Numer. Algorithms, 2016

Projection methods for large-scale T-Sylvester equations.

[BibT_eX]

[DOI]

Math. Comput., 2016

2015

Algorithm 953: Parallel Library Software for the Multishift QR Algorithm with Aggressive Early Deflation.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2015

Low rank differential equations for Hamiltonian matrix nearness problems.

[BibT_eX]

[DOI]

Christian Lubich

Numerische Mathematik, 2015

Truncated low-rank methods for solving general linear matrix equations.

[BibT_eX]

[DOI]

Petar Sirkovic

Numer. Linear Algebra Appl., 2015

Low-Rank Tensor Approximation for High-Order Correlation Functions of Gaussian Random Fields.

[BibT_eX]

[DOI]

SIAM/ASA J. Uncertain. Quantification, 2015

2014

Algorithm 941: htucker - A Matlab Toolbox for Tensors in Hierarchical Tucker Format.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2014

Optimally packed chains of bulges in multishift QR algorithms.

[BibT_eX]

[DOI]

Lars Karlsson

Bruno Lang

ACM Trans. Math. Softw., 2014

Low-Rank Tensor Methods with Subspace Correction for Symmetric Eigenvalue Problems.

[BibT_eX]

[DOI]

Michael Steinlechner

SIAM J. Sci. Comput., 2014

A Parallel QZ Algorithm for Distributed Memory HPC Systems.

[BibT_eX]

[DOI]

Björn Adlerborn

SIAM J. Sci. Comput., 2014

Subspace Methods for Computing the Pseudospectral Abscissa and the Stability Radius.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2014

Nonlinear Eigenvalue Problems with Specified Eigenvalues.

[BibT_eX]

[DOI]

Emre Mengi

SIAM J. Matrix Anal. Appl., 2014

On a Perturbation Bound for Invariant Subspaces of Matrices.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2014

Computing Extremal Points of Symplectic Pseudospectra and Solving Symplectic Matrix Nearness Problems.

[BibT_eX]

[DOI]

Christian Lubich

SIAM J. Matrix Anal. Appl., 2014

On the eigenvalue decay of solutions to operator Lyapunov equations.

[BibT_eX]

[DOI]

Luka Grubisic

Syst. Control. Lett., 2014

Memory-efficient Arnoldi algorithms for linearizations of matrix polynomials in Chebyshev basis.

[BibT_eX]

[DOI]

José E. Román

Numer. Linear Algebra Appl., 2014

A preconditioned low-rank CG method for parameter-dependent Lyapunov matrix equations.

[BibT_eX]

[DOI]

Martin Plesinger

Numer. Linear Algebra Appl., 2014

An indefinite variant of LOBPCG for definite matrix pencils.

[BibT_eX]

[DOI]

Marija Miloloza Pandur

Meiyue Shao

Numer. Algorithms, 2014

Low-Rank Tensor Methods for Communicating Markov Processes.

[BibT_eX]

[DOI]

Francisco Macedo

Proceedings of the Quantitative Evaluation of Systems - 11th International Conference, 2014

2013

An Error Analysis of Galerkin Projection Methods for Linear Systems with Tensor Product Structure.

[BibT_eX]

[DOI]

Bernhard Beckermann

SIAM J. Numer. Anal., 2013

2012

New SLICOT routines based on structured eigensolvers.

[BibT_eX]

[DOI]

Vasile Sima

Proceedings of the IEEE International Conference on Control Applications, 2012

2011

Optimal Image Alignment With Random Projections of Manifolds: Algorithm and Geometric Analysis.

[BibT_eX]

[DOI]

Pascal Frossard

IEEE Trans. Image Process., 2011

Low-Rank Tensor Krylov Subspace Methods for Parametrized Linear Systems.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2011

A mixed-precision algorithm for the solution of Lyapunov equations on hybrid CPU-GPU platforms.

[BibT_eX]

[DOI]

Pablo Ezzatti

Alfredo Remón

Parallel Comput., 2011

Continuation of eigenvalues and invariant pairs for parameterized nonlinear eigenvalue problems.

[BibT_eX]

[DOI]

Wolf-Jürgen Beyn

Cedric Effenberger

Numerische Mathematik, 2011

Condensed forms for the symmetric eigenvalue problem on multi-threaded architectures.

[BibT_eX]

[DOI]

Concurr. Comput. Pract. Exp., 2011

Preconditioned Low-Rank Methods for High-Dimensional Elliptic PDE Eigenvalue Problems.

[BibT_eX]

[DOI]

Comput. Methods Appl. Math., 2011

Fusion of Digital Elevation Models Using Sparse Representations.

[BibT_eX]

[DOI]

Haris Papasaika

Emmanuel Baltsavias

Konrad Schindler

Proceedings of the Photogrammetric Image Analysis - ISPRS Conference, 2011

Optimal similarity registration of volumetric images.

[BibT_eX]

[DOI]

Michail Zervos

Nikos Paragios

Proceedings of the 24th IEEE Conference on Computer Vision and Pattern Recognition, 2011

2010

A Novel Parallel QR Algorithm for Hybrid Distributed Memory HPC Systems.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2010

Krylov Subspace Methods for Linear Systems with Tensor Product Structure.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2010

On the computation of structured singular values and pseudospectra.

[BibT_eX]

[DOI]

Syst. Control. Lett., 2010

Die SLICOT-Toolboxen für Matlab (The SLICOT Toolboxes for Matlab).

[BibT_eX]

[DOI]

Autom., 2010

On Aggressive Early Deflation in Parallel Variants of the QR Algorithm.

[BibT_eX]

[DOI]

Meiyue Shao

Proceedings of the Applied Parallel and Scientific Computing, 2010

Accelerating Model Reduction of Large Linear Systems with Graphics Processors.

[BibT_eX]

[DOI]

Pablo Ezzatti

Alfredo Remón

Proceedings of the Applied Parallel and Scientific Computing, 2010

On the Curvature of Pattern Transformation Manifolds: Numerical Estimation and Applications.

[BibT_eX]

[DOI]

Pascal Frossard

Proceedings of the Manifold Learning and Its Applications, 2010

2009

Structured Hölder Condition Numbers for Multiple Eigenvalues.

[BibT_eX]

[DOI]

María José Peláez

Julio Moro

SIAM J. Matrix Anal. Appl., 2009

On the structured distance to uncontrollability.

[BibT_eX]

[DOI]

Syst. Control. Lett., 2009

A block Newton method for nonlinear eigenvalue problems.

[BibT_eX]

[DOI]

Numerische Mathematik, 2009

Implicit QR algorithms for palindromic and even eigenvalue problems.

[BibT_eX]

[DOI]

Christian Schröder

David S. Watkins

Numer. Algorithms, 2009

Parallel eigenvalue reordering in real Schur forms.

[BibT_eX]

[DOI]

Concurr. Comput. Pract. Exp., 2009

Reduction to Condensed Forms for Symmetric Eigenvalue Problems on Multi-core Architectures.

[BibT_eX]

[DOI]

Paolo Bientinesi

Francisco D. Igual

Proceedings of the Parallel Processing and Applied Mathematics, 2009

Optimal image alignment with random measurements.

[BibT_eX]

[DOI]

Pascal Frossard

Proceedings of the 17th European Signal Processing Conference, 2009

2008

Block variants of Hammarling's method for solving Lyapunov equations.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2008

The Effect of Aggressive Early Deflation on the Convergence of the QR Algorithm.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2008

Memory-efficient Krylov subspace techniques for solving large-scale Lyapunov equations.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Conference on Computer-Aided Control Systems, 2008

A parallel Schur method for solving continuous-time algebraic Riccati equations.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Conference on Computer-Aided Control Systems, 2008

2007

MATLAB tools for solving periodic eigenvalue problems.

[BibT_eX]

[DOI]

Proceedings of the 3rd IFAC Workshop on Periodic Control Systems, 2007

2006

Block algorithms for reordering standard and generalized schur forms.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2006

Algorithm 854: Fortran 77 subroutines for computing the eigenvalues of Hamiltonian matrices II.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2006

Structured Eigenvalue Condition Numbers.

[BibT_eX]

[DOI]

Françoise Tisseur

SIAM J. Matrix Anal. Appl., 2006

Multishift Variants of the QZ Algorithm with Aggressive Early Deflation.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2006

Structured Condition Numbers for Invariant Subspaces.

[BibT_eX]

[DOI]

Ralph Byers

SIAM J. Matrix Anal. Appl., 2006

A periodic Krylov-Schur algorithm for large matrix products.

[BibT_eX]

[DOI]

Numerische Mathematik, 2006

Recent Advances in Dense Linear Algebra: Minisymposium Abstract.

[BibT_eX]

[DOI]

Julien Langou

Proceedings of the Applied Parallel Computing. State of the Art in Scientific Computing, 2006

Parallel Variants of the Multishift QZ Algorithm with Advanced Deflation Techniques.

[BibT_eX]

[DOI]

Björn Adlerborn

Proceedings of the Applied Parallel Computing. State of the Art in Scientific Computing, 2006

Structure-preserving eigenvalue solvers for robust stability and controllability estimates.

[BibT_eX]

[DOI]

Emre Mengi

Proceedings of the 45th IEEE Conference on Decision and Control, 2006

2005

Numerical Methods for General and Structured Eigenvalue Problems.

[BibT_eX]

[DOI]

Lecture Notes in Computational Science and Engineering 46, Springer, ISBN: 978-3-540-28502-1, 2005

Perturbation Bounds for Isotropic Invariant Subspaces of Skew-Hamiltonian Matrices.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2005

Le retard en convergence des dérivées pour les calculs itératifs avec point fixe.

[BibT_eX]

[DOI]

Andreas Griewank

ARIMA J., 2005

New Hamiltonian Eigensolvers with Applications in Control.

[BibT_eX]

[DOI]

Proceedings of the 44th IEEE IEEE Conference on Decision and Control and 8th European Control Conference Control, 2005

2003

Structure preservation: a challenge in computational control.

[BibT_eX]

[DOI]

Volker Mehrmann

Future Gener. Comput. Syst., 2003

Large periodic Lyapunov equations: Algorithms and applications.

[BibT_eX]

[DOI]

Proceedings of the 7th European Control Conference, 2003

2002

Semi-automatic Generation of Web-Based Computing Environments for Software Libraries.

[BibT_eX]

[DOI]

Pedher Johansson