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SuperMatrix: a multithreaded runtime scheduling system for algorithms-by-blocks

Authors:

Field G. Van Zee,

Paolo Bientinesi,

Enrique S. Quintana-Orti,

Gregorio Quintana-Orti,

Robert van de GeijnAuthors Info & Claims

PPoPP '08: Proceedings of the 13th ACM SIGPLAN Symposium on Principles and practice of parallel programming

Pages 123 - 132

https://doi.org/10.1145/1345206.1345227

Published: 20 February 2008 Publication History

Abstract

This paper describes SuperMatrix, a runtime system that parallelizes matrix operations for SMP and/or multi-core architectures. We use this system to demonstrate how code described at a high level of abstraction can achieve high performance on such architectures while completely hiding the parallelism from the library programmer. The key insight entails viewing matrices hierarchically, consisting of blocks that serve as units of data where operations over those blocks are treated as units of computation. The implementation transparently enqueues the required operations, internally tracking dependencies, and then executes the operations utilizing out-of-order execution techniques inspired by superscalar microarchitectures. This separation of concerns allows library developers to implement algorithms without concerning themselves with the parallelization aspect of the problem. Different heuristics for scheduling operations can be implemented in the runtime system independent of the code that enqueues the operations. Results gathered on a 16 CPU ccNUMA Itanium2 server demonstrate excellent performance.

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Cited By

Fu XSu XDong DYang W(2023)Characterize and Optimize Dense Linear Solver on Multi-core CPUs2023 IEEE 29th International Conference on Parallel and Distributed Systems (ICPADS)10.1109/ICPADS60453.2023.00253(1833-1842)Online publication date: 17-Dec-2023
https://doi.org/10.1109/ICPADS60453.2023.00253
Yang SZhang CMa J(2023)DeltaSPARSE: High-Performance Sparse General Matrix-Matrix Multiplication on Multi-GPU Systems2023 IEEE 30th International Conference on High Performance Computing, Data, and Analytics (HiPC)10.1109/HiPC58850.2023.00037(194-202)Online publication date: 18-Dec-2023
https://doi.org/10.1109/HiPC58850.2023.00037
Liu FFredriksson AMarkidis S(2023)Parallel Cholesky Factorization for Banded Matrices Using OpenMP TasksEuro-Par 2023: Parallel Processing10.1007/978-3-031-39698-4_49(725-739)Online publication date: 24-Aug-2023
https://doi.org/10.1007/978-3-031-39698-4_49
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Index Terms

SuperMatrix: a multithreaded runtime scheduling system for algorithms-by-blocks
1. Software and its engineering

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Information & Contributors

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Published In

cover image ACM Conferences

PPoPP '08: Proceedings of the 13th ACM SIGPLAN Symposium on Principles and practice of parallel programming

February 2008

308 pages

ISBN:9781595937957

DOI:10.1145/1345206

General Chair:
Siddhartha Chatterjee
IBM Research USA
,
Program Chair:
Michael L. Scott
University of Rochester USA

Copyright © 2008 ACM.

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 20 February 2008

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PPoPP08: ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming

February 20 - 23, 2008

UT, Salt Lake City, USA

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Overall Acceptance Rate 230 of 1,014 submissions, 23%

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Cited By

Fu XSu XDong DYang W(2023)Characterize and Optimize Dense Linear Solver on Multi-core CPUs2023 IEEE 29th International Conference on Parallel and Distributed Systems (ICPADS)10.1109/ICPADS60453.2023.00253(1833-1842)Online publication date: 17-Dec-2023
https://doi.org/10.1109/ICPADS60453.2023.00253
Yang SZhang CMa J(2023)DeltaSPARSE: High-Performance Sparse General Matrix-Matrix Multiplication on Multi-GPU Systems2023 IEEE 30th International Conference on High Performance Computing, Data, and Analytics (HiPC)10.1109/HiPC58850.2023.00037(194-202)Online publication date: 18-Dec-2023
https://doi.org/10.1109/HiPC58850.2023.00037
Liu FFredriksson AMarkidis S(2023)Parallel Cholesky Factorization for Banded Matrices Using OpenMP TasksEuro-Par 2023: Parallel Processing10.1007/978-3-031-39698-4_49(725-739)Online publication date: 24-Aug-2023
https://doi.org/10.1007/978-3-031-39698-4_49
Heavner NIgual FQuintana-Ortí GMartinsson P(2022)Algorithm 1022: Efficient Algorithms for Computing a Rank-Revealing UTV Factorization on Parallel Computing ArchitecturesACM Transactions on Mathematical Software10.1145/350746648:2(1-42)Online publication date: 26-May-2022
https://dl.acm.org/doi/10.1145/3507466
Choi YStegailov V(2022)Multi-GPU GEMM Algorithm Performance Analysis for Nvidia and AMD GPUs Connected by NVLink and PCIeMathematical Modeling and Supercomputer Technologies10.1007/978-3-031-24145-1_23(281-292)Online publication date: 24-Dec-2022
https://doi.org/10.1007/978-3-031-24145-1_23
Castelló ACatalán SIgual FQuintana-Ortí ERodríguez-Sánchez R(2022)QR Factorization Using Malleable BLAS on Multicore ProcessorsHigh Performance Computing. ISC High Performance 2022 International Workshops10.1007/978-3-031-23220-6_12(176-189)Online publication date: 29-May-2022
https://dl.acm.org/doi/10.1007/978-3-031-23220-6_12
Gautier TLima J(2021)Evaluation of two topology-aware heuristics on level- 3 BLAS library for multi-GPU platforms2021 SC Workshops Supplementary Proceedings (SCWS)10.1109/SCWS55283.2021.00013(12-22)Online publication date: Nov-2021
https://doi.org/10.1109/SCWS55283.2021.00013
Gautier TLima J(2020)XKBlas: a High Performance Implementation of BLAS-3 Kernels on Multi-GPU Server2020 28th Euromicro International Conference on Parallel, Distributed and Network-Based Processing (PDP)10.1109/PDP50117.2020.00008(1-8)Online publication date: Mar-2020
https://doi.org/10.1109/PDP50117.2020.00008
Beaumont OEyraud-Dubois LVerite M(2020)2D Static Resource Allocation for Compressed Linear Algebra and Communication Constraints2020 IEEE 27th International Conference on High Performance Computing, Data, and Analytics (HiPC)10.1109/HiPC50609.2020.00032(181-191)Online publication date: Dec-2020
https://doi.org/10.1109/HiPC50609.2020.00032
Zheng FWang ZLiu MChu C(2020)Approximation Algorithms for Multitasking Scheduling ProblemsIEEE Access10.1109/ACCESS.2020.30077558(127530-127534)Online publication date: 2020
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