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NLAFET

Parallel Numerical Linear Algebra for Future Extreme-Scale Systems

Total Cost €

EC-Contrib. €

Partnership

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Outcomes and
results

NLAFET project word cloud

Explore the words cloud of the NLAFET project. It provides you a very rough idea of what is the project "NLAFET" about.

nlafet immense software tools modules materials co dense solvers sparse validation exploration runtime data packaged iterative effort tuning linear science offline extreme algorithmic world scientific sustainable fundamental fethpc online heterogeneous algorithm negotiate parallelism complexity performance library strategies evaluation radical tradeoffs experts heterogeneity auto equations critical theory scalability improvement energy hybrid explore fault rates eigenvalue relying demands communication direct architecture integrating astrophysics source mathematical algebra power supporting solutions cutting scheduling expose meet resilience architectures scalable cross escalating overwhelming environments algorithms operations bottlenecks constraints libraries core tolerance

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 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.	SE (UMEA)	coordinator	1˙207˙500.00
2	THE UNIVERSITY OF MANCHESTER THE UNIVERSITY OF MANCHESTER Organization address address: OXFORD ROAD city: MANCHESTER postcode: M13 9PL website: www.manchester.ac.uk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	UK (MANCHESTER)	participant	927˙375.00
3	UNITED KINGDOM RESEARCH AND INNOVATION UNITED KINGDOM RESEARCH AND INNOVATION Organization address address: POLARIS HOUSE NORTH STAR AVENUE city: SWINDON postcode: SN2 1FL website: n.a. contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	UK (SWINDON)	participant	926˙750.00
4	INSTITUT NATIONAL DE RECHERCHE ENINFORMATIQUE ET AUTOMATIQUE INSTITUT NATIONAL DE RECHERCHE ENINFORMATIQUE ET AUTOMATIQUE Organization address address: DOMAINE DE VOLUCEAU ROCQUENCOURT city: LE CHESNAY CEDEX postcode: 78153 website: www.inria.fr contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	FR (LE CHESNAY CEDEX)	participant	845˙750.00
5	SCIENCE AND TECHNOLOGY FACILITIES COUNCIL SCIENCE AND TECHNOLOGY FACILITIES COUNCIL Organization address address: Polaris House North Star Avenue city: SWINDON postcode: SN2 1SZ website: www.scitech.ac.uk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	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

List of publications.
year	authors and title	journal	last update
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. KÃ¥gstrÃ¶m. 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. KÃ¥gstrÃ¶m 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. KÃ¥gstrÃ¶m, D. Kressner PDHGEQZ User Guide published pages: , ISSN: , DOI:	NLAFET Working Notes 2	2020-02-21
2016	B. Adlerborn, L. Karlsson, and B. KÃ¥gstrÃ¶m 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. KÃ¥gstrÃ¶m 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 KÃ¥gstrÃ¶m 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	MiraÃ§i, Ani; PapeÅ¾, Jan; VohralÃk, 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	SÃ©bastien 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 â€“ an application to CMB data analysis published pages: , ISSN: , DOI:	NLAFET Working Notes 19	2020-02-21
2018	Zvonimir BujanoviÄ‡, 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 GPUâ€™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 Å Ãstek, 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	BjÃ¶rn Adlerborn, Lars Karlsson, Bo KÃ¥gstrÃ¶m 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. PapeÅ¾, 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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