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NLAFET

Parallel Numerical Linear Algebra for Future Extreme-Scale Systems

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EC-Contrib. €

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Project "NLAFET" data sheet

The following table provides information about the project.

Coordinator
UMEA UNIVERSITET 

Organization address
address: UNIVERSITETOMRADET
city: UMEA
postcode: 901 87
website: www.umu.se

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Sweden [SE]
 Project website http://www.nlafet.eu/
 Total cost 3˙907˙375 €
 EC max contribution 3˙907˙375 € (100%)
 Programme 1. H2020-EU.1.2.2. (FET Proactive)
 Code Call H2020-FETHPC-2014
 Funding Scheme RIA
 Starting year 2015
 Duration (year-month-day) from 2015-11-01   to  2019-04-30

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UMEA UNIVERSITET SE (UMEA) coordinator 1˙207˙500.00
2    THE UNIVERSITY OF MANCHESTER UK (MANCHESTER) participant 927˙375.00
3    UNITED KINGDOM RESEARCH AND INNOVATION UK (SWINDON) participant 926˙750.00
4    INSTITUT NATIONAL DE RECHERCHE ENINFORMATIQUE ET AUTOMATIQUE FR (LE CHESNAY CEDEX) participant 845˙750.00
5    SCIENCE AND TECHNOLOGY FACILITIES COUNCIL UK (SWINDON) participant 0.00

Map

 Project objective

The NLAFET proposal is a direct response to the demands for new mathematical and algorithmic approaches for applications on extreme scale systems, as identified in the FETHPC work programme and call. This project will enable a radical improvement in the performance and scalability of a wide range of real-world applications relying on linear algebra software, by developing novel architecture-aware algorithms and software libraries, and the supporting runtime capabilities to achieve scalable performance and resilience on heterogeneous architectures. The focus is on a critical set of fundamental linear algebra operations including direct and iterative solvers for dense and sparse linear systems of equations and eigenvalue problems. Achieving this requires a co-design effort due to the characteristics and overwhelming complexity and immense scale of such systems. Recognized experts in algorithm design and theory, parallelism, and auto-tuning will work together to explore and negotiate the necessary tradeoffs. The main research objectives are: (i) development of novel algorithms that expose as much parallelism as possible, exploit heterogeneity, avoid communication bottlenecks, respond to escalating fault rates, and help meet emerging power constraints; (ii) exploration of advanced scheduling strategies and runtime systems focusing on the extreme scale and strong scalability in multi/many-core and hybrid environments; (iii) design and evaluation of novel strategies and software support for both offline and online auto-tuning. The validation and dissemination of results will be done by integrating new software solutions into challenging scientific applications in materials science, power systems, study of energy solutions, and data analysis in astrophysics. The deliverables also include a sustainable set of methods and tools for cross-cutting issues such as scheduling, auto-tuning, and algorithm-based fault tolerance packaged into open-source library modules.

 Deliverables

List of deliverables.
Final Hybrid BLAS specification Documents, reports 2020-02-21 17:38:10
Prototype software, phase 2 Demonstrators, pilots, prototypes 2020-02-21 17:38:09
Dissemination and community outreach plan Documents, reports 2020-02-21 17:38:09
Performance evaluation Documents, reports 2020-02-21 17:38:10
Evaluation of software prototypes Documents, reports 2020-02-21 17:38:10
Novel SVD algorithms Demonstrators, pilots, prototypes 2020-02-21 17:38:09
Scalability and tunability of factorization algorithms Documents, reports 2020-02-21 17:38:09
Algorithm design for hybrid methods Documents, reports 2020-02-21 17:38:11
Eigenvalue solvers for nonsymmetric problems Documents, reports 2020-02-21 17:38:10
Software integration Demonstrators, pilots, prototypes 2020-02-21 17:38:09
Evaluation of auto-tuning techniques Documents, reports 2020-02-21 17:38:10
Software for hybrid methods Demonstrators, pilots, prototypes 2020-02-21 17:38:10
Draft specification for Hybrid BLAS Documents, reports 2020-02-21 17:38:10
Validation and evaluation Documents, reports 2020-02-21 17:38:10
Software for symmetrically structured factorizations Demonstrators, pilots, prototypes 2020-02-21 17:38:11
Integration Documents, reports 2020-02-21 17:38:10
Algorithm design for symmetrically structured factorizations Documents, reports 2020-02-21 17:38:09
Software for highly unsymmetric factorizations Demonstrators, pilots, prototypes 2020-02-21 17:38:09
Algorithm-based fault tolerance techniques Documents, reports 2020-02-21 17:38:10
Prototypes for tiled one-sided factorizations with algorithm-based fault tolerance Demonstrators, pilots, prototypes 2020-02-21 17:38:10
Final prototype software for different versions of the BLAS Demonstrators, pilots, prototypes 2020-02-21 17:38:10
Novel methods for static and dynamic scheduling Documents, reports 2020-02-21 17:38:09
Collaborative infrastructure Other 2020-02-21 17:38:10
Prototype software for eigenvalue problem solvers Demonstrators, pilots, prototypes 2020-02-21 17:38:09
Second dissemination report Documents, reports 2020-02-21 17:38:10
Release of the NLAFET library Other 2020-02-21 17:38:10
Analysis and algorithm design Documents, reports 2020-02-21 17:38:07
First dissemination report Documents, reports 2020-02-21 17:38:07
One-sided matrix factorizations Documents, reports 2020-02-21 17:38:07
Prototype software for different versions of the BLAS Demonstrators, pilots, prototypes 2020-02-21 17:38:07
Beta release of the NLAFET library Other 2020-02-21 17:38:06
Prototype software, phase 1 Demonstrators, pilots, prototypes 2020-02-21 17:38:07
Theoretical bounds for communication in sparse operations Documents, reports 2020-02-21 17:38:07
Algorithm design for highly unsymmetric factorizations Documents, reports 2020-02-21 17:38:06
Requirements analysis Documents, reports 2020-02-21 17:38:07
Prototypes for runtime systems exhibiting novel types of scheduling Demonstrators, pilots, prototypes 2020-02-21 17:38:07
Eigenvalue problem solvers Documents, reports 2020-02-21 17:38:06
Bidiagonal factorization Demonstrators, pilots, prototypes 2020-02-21 17:38:06
An off-line auto-tuning framework based on heuristic search Documents, reports 2020-02-21 17:38:07

Take a look to the deliverables list in detail:  detailed list of NLAFET deliverables.

 Publications

year authors and title journal last update
List of publications.
2016 L. Grigori, S. Cayrols, and J. Demmel
Low rank approximation of a sparse matrix based on LU factorization with column and row tournament pivoting
published pages: , ISSN: , DOI:
NLAFET Working Notes 3 2020-02-21
2016 I. Duff, J. Hogg, and F. Lopez
Experiments with sparse Cholesky using runtime systems
published pages: , ISSN: , DOI:
NLAFET Working Notes 7 2020-02-21
2016 Jonathan Hogg
A new sparse solver using a posteriori threshold pivoting
published pages: , ISSN: , DOI:
NLAFET Working Notes 6 2020-02-21
2017 Sven Hammarling
Second Workshop on Batched, Reproducible, and Reduced Precision BLAS.
published pages: , ISSN: , DOI:
NLAFET Working Notes 12 2020-02-21
2017 C.C. Kjelgaard Mikkelsen and L. Karlsson
Robust solution of triangular linear systems
published pages: , ISSN: , DOI:
NLAFET Working Notes 9 2020-02-21
2017 M. Myllykoski, C.C. Kjelgaard Mikkelsen, L. Karlsson, and B. Kågström.
Task-Based Parallel Algorithms for Reordering of Matrices in Real Schur Form
published pages: , ISSN: , DOI:
NLAFET Working Notes 11 2020-02-21
2017 L. Grigori and O. Tissot
Reducing the communication and computational costs of Enlarged Krylov subspaces Conjugate Gradient
published pages: , ISSN: , DOI:
NLAFET Working Note 13 2020-02-21
2017 M. Eljammaly, L. Karlsson, and B. Kågström
Evaluation of the Tunability of a New NUMA-Aware Hessenberg Reduction Algorithm
published pages: , ISSN: , DOI:
NLAFET Working Notes 8 2020-02-21
2016 B. Adlerborn, B. Kågström, D. Kressner
PDHGEQZ User Guide
published pages: , ISSN: , DOI:
NLAFET Working Notes 2 2020-02-21
2016 B. Adlerborn, L. Karlsson, and B. Kågström
Distributed One-Stage Hessenberg Triangular Reduction with Wavefront Scheduling
published pages: , ISSN: , DOI:
NLAFET Working Papers 1 2020-02-21
2017 B. Adlerborn, C.C. Kjelgaard Mikkelsen, L. Karlsson, and B. Kågström
Towards Highly Parallel and Compute-Bound Computation of Eigenvectors of Matrices in Schur Form
published pages: , ISSN: , DOI:
NLAFET Working Notes 10 2020-02-21
2016 S. Hammarling
Workshop on Batched, Reproducible, and Reduced Precision BLAS
published pages: , ISSN: , DOI:
NLAFET Working Notes 4 2020-02-21
2016 S.D. Relton, P. Valero-Lara, and M. Zounon
A Comparison of Potential Interfaces for Batched BLAS Computations
published pages: , ISSN: , DOI:
NLAFET Working Notes 5 2020-02-21
2016 Jack Dongarra and Sven Hammarling and Nicholas J. Higham and Samuel D. Relton and Pedro Valero-Lara and Mawussi Zounon
Creating a Standardised Set of Batched BLAS Routines
published pages: , ISSN: , DOI:
Proceedings of the Fourth Workshop on Sustainable Software for Science: Practice and Experiences (WSSSPE4, 2016) 2020-02-21
2017 Maksims Abalenkovs, Negin Bagherpour, Jack Dongarra, Mark Gates, Azzam Haidar, Jakub Kurzak, Piotr Luszczek, Samuel Relton, Jakub Sistek, David Stevens, PanruoWu, Ichitaro Yamazaki, Asim YarKhan, Mawussi Zounon
PLASMA 17 Performance Report. Linear Systems and Least Squares; Haswell, Knights Landing, POWER8.
published pages: , ISSN: , DOI:
NLAFET Working Notes 16 2020-02-21
2017 Iain Duff, Florent Lopez and Stojce Nakov
Sparse direct solution on parallel computers
published pages: , ISSN: , DOI:
NLAFET Working Notes 17 2020-02-21
2017 Carl Christian Kjelgaard Mikkelsen, Angelika Beatrix Schwarz, Lars Karlsson
Parallel robust solution of triangular linear systems
published pages: e5064, ISSN: 1532-0626, DOI: 10.1002/cpe.5064
Concurrency and Computation: Practice and Experience 2020-02-21
2017 Jack Dongarra, Sven Hammarling, Nicholas J. Higham, Samuel D. Relton, Pedro Valero-Lara, Mawussi Zounon
The Design and Performance of Batched BLAS on Modern High-Performance Computing Systems
published pages: 495-504, ISSN: 1877-0509, DOI: 10.1016/j.procs.2017.05.138
Procedia Computer Science 108 2020-02-21
2018 Ichitaro Yamazaki, Jakub Kurzak, Panruo Wu, Mawussi Zounon, Jack Dongarra
Symmetric Indefinite Linear Solver Using OpenMP Task on Multicore Architectures
published pages: 1879-1892, ISSN: 1045-9219, DOI: 10.1109/tpds.2018.2808964
IEEE Transactions on Parallel and Distributed Systems 29/8 2020-02-21
2019 Timothy Davis, Iain Duff, Stojce Nakov
Design and implementation of a parallel Markowitz threshold algorithm
published pages: , ISSN: , DOI:
NLAFET Working Notes 22 2020-02-21
2017 Maksims Abalenkovs, Jack Dongarra, Mark Gates, Azzam Haidar, Jakub Kurzak, Piotr Luszczek, Mawussi Zounon, Samuel Relton, Jakub Sistek, David Stevens, Ichitaro Yamazaki, Asim YarKhan
PLASMA 17 Functionality Report: Parallel BLAS and Norms, Linear Systems and Least Squares, Mixed Precision and Matrix Inversion
published pages: , ISSN: , DOI:
NLAFET Working Notes 15 2020-02-21
2017 Mahmoud Eljammaly, Lars Karlsson and Bo Kågström
An Auto-Tuning Framework for a NUMA-Aware Hessenberg Reduction Algorithm
published pages: , ISSN: , DOI:
NLAFET Working Notes 18 2020-02-21
2018 Laura Grigori, Sebastien Cayrols, James W. Demmel
Low Rank Approximation of a Sparse Matrix Based on LU Factorization with Column and Row Tournament Pivoting
published pages: C181-C209, ISSN: 1064-8275, DOI: 10.1137/16m1074527
SIAM Journal on Scientific Computing 40/2 2020-02-21
2018 Azzam Haidar, Ahmad Abdelfattah, Mawussi Zounon, Stanimire Tomov, Jack Dongarra
A Guide for Achieving High Performance with Very Small Matrices on GPU: A Case Study of Batched LU and Cholesky Factorizations
published pages: 973-984, ISSN: 1045-9219, DOI: 10.1109/tpds.2017.2783929
IEEE Transactions on Parallel and Distributed Systems 29/5 2020-02-21
2019 Miraçi, Ani; Papež, Jan; Vohralík, Martin
A multilevel algebraic error estimator and the corresponding iterative solver with $p$-robust behavior
published pages: , ISSN: , DOI:
https://hal.archives-ouvertes.fr/hal-02070981 1 2020-02-21
2019 Angelika Schwarz, Lars Karlsson
Scalable eigenvector computation for the non-symmetric eigenvalue problem
published pages: 131-140, ISSN: 0167-8191, DOI: 10.1016/j.parco.2019.04.001
Parallel Computing 85 2020-02-21
2017 Iain Duff and Florent Lopez
Experiments with sparse Cholesky using a parametrized task graph implementation.
published pages: , ISSN: , DOI:
NLAFET Working Notes 14 2020-02-21
2018 Sébastien Cayrols, Iain Duff and Florent Lopez
Parallelization of the solve phase in a task-based Cholesky solver using a sequential task flow model
published pages: , ISSN: , DOI:
NLAFET Working Notes 20 2020-02-21
2019 Hussam Al Daas, Laura Grigori, Pierre Jolivet, Pierre-Henri Tournier
A Multilevel Schwarz Preconditioner Based on a Hierarchy of Robust Coarse Spaces
published pages: , ISSN: , DOI:
2020-02-21
2018 Jan Papez, Laura Grigori, Radoslav Stompor
Solving linear equations with messenger-field and conjugate gradients techniques – an application to CMB data analysis
published pages: , ISSN: , DOI:
NLAFET Working Notes 19 2020-02-21
2018 Zvonimir Bujanović, Lars Karlsson, Daniel Kressner
A Householder-Based Algorithm for Hessenberg-Triangular Reduction
published pages: 1270-1294, ISSN: 0895-4798, DOI: 10.1137/17m1153637
SIAM Journal on Matrix Analysis and Applications 39/3 2020-02-21
2018 Laura Grigori, Olivier Tissot
Scalable Linear Solvers based on Enlarged Krylov subspaces with Dynamic Reduction of Search Directions
published pages: , ISSN: , DOI:
2020-02-21
2017 Laura Grigori, Olivier Tissot
Reducing the communication and computational costs of enlarged Krylov subspaces conjugate gradient
published pages: , ISSN: , DOI:
2020-02-21
2017 Weifeng Liu, Ang Li, Jonathan D. Hogg, Iain S. Duff, Brian Vinter
Fast synchronization-free algorithms for parallel sparse triangular solves with multiple right-hand sides
published pages: e4244, ISSN: 1532-0626, DOI: 10.1002/cpe.4244
Concurrency and Computation: Practice and Experience 29/21 2020-02-21
2019 Alan Ayala, Xavier Claeys, Laura Grigori
ALORA: Affine Low-Rank Approximations
published pages: 1135-1160, ISSN: 0885-7474, DOI: 10.1007/s10915-018-0885-5
Journal of Scientific Computing 79/2 2020-02-21
2019 Azzam Haidar, Stanimire Tomov, Jack Dongarra, Nick Higham
Harnessing GPU’s Tensor Cores for Fast FP16 Arithmetic to Speedup Mixed-Precision Iterative Refinement Solvers
published pages: , ISSN: , DOI:
Proceedings of the International Conference for High Performance Computing, Networking, Storage, and Analysis 2020-02-21
2019 Jack Dongarra, Negin Bagherpour, Sven Hammarling, Jakub Šístek, David Stevens, Mawussi Zounon, Samuel D. Relton, Mark Gates, Azzam Haidar, Jakub Kurzak, Piotr Luszczek, Panruo Wu, Ichitaro Yamazaki, Asim Yarkhan, Maksims Abalenkovs
PLASMA
published pages: 1-35, ISSN: 0098-3500, DOI: 10.1145/3264491
ACM Transactions on Mathematical Software 45/2 2020-02-21
2018 Björn Adlerborn, Lars Karlsson, Bo Kågström
Distributed One-Stage Hessenberg-Triangular Reduction with Wavefront Scheduling
published pages: C157-C180, ISSN: 1064-8275, DOI: 10.1137/16m1103890
SIAM Journal on Scientific Computing 40/2 2020-02-21
2018 M. Myllykoski, T. Rossi, J. Toivanen
On solving separable block tridiagonal linear systems using a GPU implementation of radix-4 PSCR method
published pages: 56-66, ISSN: 0743-7315, DOI: 10.1016/j.jpdc.2018.01.004
Journal of Parallel and Distributed Computing 115 2020-02-21
2018 Iain Duff, Jonathan Hogg, Florent Lopez
Experiments with sparse Cholesky using a sequential task-flow implementation
published pages: 237-260, ISSN: 2155-3297, DOI: 10.3934/naco.2018014
Numerical Algebra, Control & Optimization 8/2 2020-02-21
2018 Ayala, Alan; Claeys, Xavier; Grigori, Laura
Linear-time CUR approximation of BEM matrices
published pages: , ISSN: , DOI:
https://hal.inria.fr/hal-01893036 1 2020-02-21
2018 Iain Duff, Jonathan Hogg and Florent Lopez
A new sparse symmetric indefinite solver using A Posteriori Threshold Pivoting
published pages: , ISSN: , DOI:
NLAFET Working Notes 21 2020-02-21
2018 J. Papež, L. Grigori, R. Stompor
Solving linear equations with messenger-field and conjugate gradient techniques: An application to CMB data analysis
published pages: A59, ISSN: 0004-6361, DOI: 10.1051/0004-6361/201832987
Astronomy & Astrophysics 620 2020-02-21

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