Analyzing and Exploiting Inexactness in Exascale Matrix Computations

Project Information

inEXASCALE

Grant agreement ID: 101075632

DOI

10.3030/101075632

EC signature date 17 January 2023

Start date 1 March 2023

End date 29 February 2028

Funded under

• European Research Council (ERC)

Total cost

€ 1 496 085,00

EU contribution

€ 1 496 085,00

Coordinated by

UNIVERZITA KARLOVA
Czechia

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Deliverables

Data Management Plan (1)

Data Management Plan

Drafting of data management plan

Publications

Peer reviewed articles (18)

Iterated Gauss–Seidel GMRES

Author(s): Stephen Thomas, Erin Carson, Miroslav Rozložník, Arielle Carr, and Katarzyna Świrydowicz
Published in: SIAM Journal on Scientific Computing, Issue Vol. 46, Iss. 2, 2024, ISSN 1095-7197
Publisher: SIAM
DOI: 10.48550/ARXIV.2205.07805

Mixed precision Rayleigh quotient iteration for total least squares problems

Author(s): Oktay, Eda; Carson, Erin
Published in: Numerical Algorithms, Issue Vol. 96, 2023, ISSN 1572-9265
Publisher: Springer
DOI: 10.48550/arxiv.2305.19028

The Effect of Approximate Coarsest-Level Solves on the Convergence of Multigrid V-Cycle Methods

Author(s): Petr Vacek; Erin Carson; Kirk M. Soodhalter
Published in: SIAM Journal on Scientific Computing, Issue Vol. 45, Iss. 4, 2024, ISSN 1095-7197
Publisher: SIAM
DOI: 10.48550/arxiv.2306.06182

Single-Pass Nyström Approximation in Mixed Precision

Author(s): Erin Carson; Ieva Daužickaitė
Published in: SIAM Journal on Matrix Analysis and Applications, Issue Vol. 45, Iss. 3, 2024, ISSN 1095-7162
Publisher: SIAM
DOI: 10.48550/arxiv.2205.13355

Mixed precision iterative refinement with adaptive precision sparse approximate inverse preconditioning

Author(s): Noaman Khan, Erin Carson
Published in: Engineering with Computers, 2025, ISSN 0177-0667
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/S00366-025-02187-Z

Mixed Precision HODLR Matrices

Author(s): Erin Carson, Xinye Chen, Xiaobo Liu
Published in: SIAM Journal on Scientific Computing, Issue 47, 2025, ISSN 1064-8275
Publisher: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.48550/ARXIV.2407.21637

Mixed Precision Sketching for Least-Squares Problems and its Application in GMRES-Based Iterative Refinement

Author(s): Erin Carson, Ieva Daužickaitė
Published in: SIAM Journal on Matrix Analysis and Applications, Issue 46, 2025, ISSN 0895-4798
Publisher: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.48550/ARXIV.2410.06319

Linear Algebra and Its Applications

Author(s): Erin Carson; Jörg Liesen; Zdeněk Strakoš
Published in: Linear Algebra and its Applications, Issue Vol. 692, 2024, ISSN 0024-3795
Publisher: Elsevier BV
DOI: 10.48550/arxiv.2211.00953

On the Backward Stability of S-Step GMRES

Author(s): Erin Carson, Yuxin Ma
Published in: SIAM Journal on Matrix Analysis and Applications, Issue 46, 2025, ISSN 0895-4798
Publisher: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.48550/ARXIV.2409.03079

Towards Understanding CG and GMRES Through Examples

Author(s): Erin Carson, Jörg Liesen, Zdeněk Strakoš
Published in: Linear Algebra and its Applications, Issue Vol. 692, 2024, ISSN 1873-1856
Publisher: Elsevier
DOI: 10.48550/ARXIV.2211.00953

Electronic Transactions on Numerical Analysis

Author(s): Carson, Erin; Daužickaitė, Ieva
Published in: Electronic Transactions on Numerical Analysis, Issue Vol. 60, 2024, ISSN 1068-9613
Publisher: Kent State University
DOI: 10.48550/arxiv.2303.11901

The detection and correction of silent errors in pipelined Krylov subspace methods

Author(s): Erin Claire Carson, Jakub Hercík
Published in: Numerical Algorithms, 2025, ISSN 1017-1398
Publisher: Springer Science and Business Media LLC
DOI: 10.48550/ARXIV.2409.16796

A Comparison of Mixed Precision Iterative Refinement Approaches for Least-Squares Problems

Author(s): Erin Carson, Ieva Daužickaitė
Published in: SIAM Journal on Matrix Analysis and Applications, Issue 46, 2025, ISSN 0895-4798
Publisher: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.48550/ARXIV.2405.18363

The Effect of Approximate Coarsest-Level Solves on the Convergence of Multigrid V-Cycle Methods

Author(s): Petr Vacek, Erin Carson, Kirk M. Soodhalter
Published in: SIAM Journal on Scientific Computing, Issue Vol. 46, Iss. 4, 2024, ISSN 1095-7197
Publisher: SIAM
DOI: 10.48550/arXiv.2306.06182

A Stable One-Synchronization Variant of Reorthogonalized Block Classical Gram–Schmidt

Author(s): Erin Carson, Yuxin Ma
Published in: SIAM Journal on Scientific Computing, Issue 47, 2025, ISSN 1064-8275
Publisher: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.48550/ARXIV.2411.07077

The stability of split-preconditioned FGMRES in four precisions

Author(s): Erin Carson, Ieva Daužickaitė
Published in: Electronic Transactions on Numerical Analysis, Issue Vol. 60, 2024, ISSN 1068-9613
Publisher: Kent State University
DOI: 10.48550/ARXIV.2303.11901

Mixed Precision Iterative Refinement with Sparse Approximate Inverse Preconditioning

Author(s): Erin Carson and Noaman Khan
Published in: SIAM Journal on Scientific Computing, Issue Vol. 43, Iss. 3, 2023, ISSN 1095-7197
Publisher: SIAM
DOI: 10.48550/arXiv.2202.10204

Reorthogonalized Pythagorean variants of block classical Gram-Schmidt

Author(s): Erin Carson, Kathryn Lund, Yuxin Ma, Eda Oktay
Published in: SIAM Journal on Matrix Analysis and Applications, Issue Vol. 46, Iss. 1, 2025, ISSN 1095-7162
Publisher: SIAM
DOI: 10.48550/arXiv.2405.01298