Showing 1 - 20 results of 66 for search '"mixed precision algorithms"', query time: 0.82s Refine Results
  1. 1
    Conference

    A mixed-precision quantum-classical algorithm for solving linear systems

    Authors: Koska, Oceane, Baboulin, Marc, Gazda, Arnaud

    Source: 2025 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW) IPDPSW Parallel and Distributed Processing Symposium Workshops (IPDPSW), 2025 IEEE International. :501-508 Jun, 2025

    Relation: 2025 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW)

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  2. 2
    Academic Journal

    High Performance Householder QR Factorization on Emerging GPU Architectures Using Tensor Cores

    Authors: Leng, Y., Zou, G., Wang, H., Wu, P., Zhang, S.

    Source: IEEE Transactions on Parallel and Distributed Systems IEEE Trans. Parallel Distrib. Syst. Parallel and Distributed Systems, IEEE Transactions on. 36(3):422-436 Mar, 2025

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  3. 3
    Academic Journal

    Truncated QR Factorization with Pivoting in Mixed Precision: Truncated QR factorization with pivoting in mixed precision

    Authors: Buttari, Alfredo, Mary, Theo, Pacteau, André

    Contributors: Buttari, Alfredo

    Source: SIAM Journal on Scientific Computing. 47:B382-B401

    Subject Terms: mixed precision, [INFO.INFO-MS] Computer Science [cs]/Mathematical Software [cs.MS], Roundoff error, [INFO.INFO-NA] Computer Science [cs]/Numerical Analysis [cs.NA], Mixed-precision algorithms, low-rank approximations, QR factorization, Numerical methods for low-rank matrix approximation, matrix compression, [INFO.INFO-AO] Computer Science [cs]/Computer Arithmetic

    File Description: application/xml; application/pdf

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  4. 4
    Conference

    Mixed-Precision Algorithm for Finding Selected Eigenvalues and Eigenvectors of Symmetric and Hermitian Matrices1

    Authors: Tsai, Yaohung M., Luszczek, Piotr, Dongarra, Jack

    Source: 2022 IEEE/ACM Workshop on Latest Advances in Scalable Algorithms for Large-Scale Heterogeneous Systems (ScalAH) SCALAH Latest Advances in Scalable Algorithms for Large-Scale Heterogeneous Systems (ScalAH), 2022 IEEE/ACM Workshop on. :43-50 Nov, 2022

    Relation: 2022 IEEE/ACM Workshop on Latest Advances in Scalable Algorithms for Large-Scale Heterogeneous Systems (ScalAH)

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  5. 5
    Academic Journal

    Mixed precision iterative refinement for low-rank matrix and tensor approximations

    Authors: Baboulin, Marc, Kaya, Oguz, Mary, Theo, Robeyns, Matthieu

    Contributors: Robeyns, Matthieu

    Subject Terms: Matrix and tensor computations, Iterative refinement, Mixed precision algorithms, Tensor decompositions, [MATH] Mathematics [math], Low-rank approximations, Randomized SVD, [INFO] Computer Science [cs]

    File Description: application/pdf

    Access URL: https://hal.science/hal-04115337v2

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  6. 6
    eBook

    Mixed Precision Randomized Low-Rank Approximation with GPU Tensor Cores

    Authors: Baboulin, MarcAff13, Donfack, SimpliceAff14, Aff17, Kaya, OguzAff15, Mary, TheoAff16, Robeyns, MatthieuAff15

    Contributors: Goos, Gerhard, Series EditorAff1, Hartmanis, Juris, Founding EditorAff2, Bertino, Elisa, Editorial Board MemberAff3, Gao, Wen, Editorial Board MemberAff4, Steffen, Bernhard, Editorial Board MemberAff5, Yung, Moti, Editorial Board MemberAff6, Carretero, Jesus, editorAff7, Shende, Sameer, editorAff8, Garcia-Blas, Javier, editorAff9, Brandic, Ivona, editorAff10, Olcoz, Katzalin, editorAff11, Schreiber, Martin, editorAff12

    Source: Euro-Par 2024: Parallel Processing : 30th European Conference on Parallel and Distributed Processing, Madrid, Spain, August 26–30, 2024, Proceedings, Part III. 14803:31-44

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  7. 7
    Conference

    Mixed-Precision Tomographic Reconstructor Computations on Hardware Accelerators

    Authors: Doucet, Nicolas, Ltaief, Hatem, Gratadour, Damien, Keyes, David

    Source: 2019 IEEE/ACM 9th Workshop on Irregular Applications: Architectures and Algorithms (IA3) Irregular Applications: Architectures and Algorithms (IA3), 2019 IEEE/ACM 9th Workshop on. :31-38 Nov, 2019

    Relation: 2019 IEEE/ACM 9th Workshop on Irregular Applications: Architectures and Algorithms (IA3)

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  8. 8
    Academic Journal

    Mixed precision LU factorization on GPU tensor cores: reducing data movement and memory footprint

    Authors: Lopez, Florent, Mary, Theo

    Contributors: Mary, Theo

    Source: The International Journal of High Performance Computing Applications. 37:165-179

    Subject Terms: high performance computing, tensor cores, LU factorization, numerical linear algebra, mixed precision algorithms, [MATH] Mathematics [math], [INFO] Computer Science [cs], 0101 mathematics, NVIDIA GPU, 01 natural sciences, rounding error analysis

    File Description: application/pdf

    Access URL: https://hal.science/hal-02937325v2
    https://hal.science/hal-02937325v2/document
    https://doi.org/10.1177/10943420221136848

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  9. 9
    Academic Journal

    Mixed precision low-rank approximations and their application to block low-rank LU factorization

    Authors: Amestoy, Patrick, Boiteau, Olivier, Buttari, Alfredo, Gerest, Matthieu, Jézéquel, Fabienne, L'Excellent, Jean-Yves, Mary, Théo

    Contributors: Gerest, Matthieu, Mumps Technologies Lyon, Algorithmes Parallèles et Optimisation (IRIT-APO), Institut de recherche en informatique de Toulouse (IRIT), Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT)-Université de Toulouse (UT)-Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique (Toulouse) (Toulouse INP), Université de Toulouse (UT)-Toulouse Mind & Brain Institut (TMBI), Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT), EDF R&D (EDF R&D), EDF (EDF), Centre National de la Recherche Scientifique (CNRS), Performance et Qualité des Algorithmes Numériques (PEQUAN), LIP6, Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Université Paris-Panthéon-Assas, CIFRE PhDthesis of Matthieu Gerest funded by EDF

    Source: IMA Journal of Numerical Analysis. 43:2198-2227

    Subject Terms: floating-point arithmetic, multiprecision algorithms, [INFO.INFO-AO]Computer Science [cs]/Computer Arithmetic, block low-rank matrices, linear systems, singular value decomposition, [INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA], [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], 01 natural sciences, rounding error analysis, [INFO.INFO-NA] Computer Science [cs]/Numerical Analysis [cs.NA], low-rank approximations, LU factorization, numerical linear algebra, data sparse matrices, mixed precision algorithms, [INFO.INFO-AO] Computer Science [cs]/Computer Arithmetic, 0101 mathematics, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]

    File Description: application/pdf

    Access URL: https://hal.science/hal-03251738v3
    https://doi.org/10.1093/imanum/drac037
    https://hal.science/hal-03251738v3/document

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  10. 10
    Conference

    Metaprogramming Dense Linear Algebra Solvers Applications to Multi and Many-Core Architectures

    Authors: Masliah, Ian, Baboulin, Marc, Falcou, Joel

    Source: 2015 IEEE Trustcom/BigDataSE/ISPA Trustcom/BigDataSE/ISPA, 2015 IEEE. 3:69-76 Aug, 2015

    Relation: 2015 IEEE Trustcom/BigDataSE/ISPA

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  11. 11
    Conference

    Energy Footprint of Advanced Dense Numerical Linear Algebra Using Tile Algorithms on Multicore Architectures

    Authors: Dongarra, Jack, Ltaief, Hatem, Luszczek, Piotr, Weaver, Vincent M.

    Source: 2012 Second International Conference on Cloud and Green Computing Cloud and Green Computing (CGC), 2012 Second International Conference on. :274-281 Nov, 2012

    Relation: 2012 International Conference on Cloud and Green Computing (CGC)

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  12. 12
    Report

    Truncated QR factorization with pivoting in mixed precision ; Factorisation QR avec pivotage et troncature en précision mixte

    Authors: Buttari, Alfredo, Mary, Théo, Pacteau, André

    Contributors: Algorithmes Parallèles et Optimisation (IRIT-APO), Institut de recherche en informatique de Toulouse (IRIT), Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT)-Université de Toulouse (UT)-Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique (Toulouse) (Toulouse INP), Université de Toulouse (UT)-Toulouse Mind & Brain Institut (TMBI), Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT), Performance et Qualité des Algorithmes Numériques (PEQUAN), LIP6, Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), ANR-22-EXNU-0003,Exa-Soft,High Performance Computing software and tools(2022), ANR-23-CE46-0005,MixHPC,Algorithmes en précision mixte pour le calcul haute performance(2023)

    Source: https://hal.science/hal-04490215 ; 2024.

    Subject Terms: Mixed-precision algorithms, QR factorization, low-rank approximations, [INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA], [INFO.INFO-AO]Computer Science [cs]/Computer Arithmetic, [INFO.INFO-MS]Computer Science [cs]/Mathematical Software [cs.MS]

    Availability: https://hal.science/hal-04490215
    https://hal.science/hal-04490215v1/document
    https://hal.science/hal-04490215v1/file/paper.pdf

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  13. 13
    Report

    Mixed precision iterative refinement for low-rank matrix and tensor approximations

    Authors: Baboulin, Marc, Kaya, Oguz, Mary, Theo, Robeyns, Matthieu

    Contributors: Systèmes Parallèles - LISN (ParSys), Algorithmes, Apprentissage et Calcul (AAC), Laboratoire Interdisciplinaire des Sciences du Numérique (LISN), Institut National de Recherche en Informatique et en Automatique (Inria)-CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche en Informatique et en Automatique (Inria)-CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-Laboratoire Interdisciplinaire des Sciences du Numérique (LISN), Institut National de Recherche en Informatique et en Automatique (Inria)-CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche en Informatique et en Automatique (Inria)-CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Institut National de Recherche en Informatique et en Automatique (Inria)-CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Performance et Qualité des Algorithmes Numériques (PEQUAN), LIP6, Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), DIM RFSI RC-TENSOR No 2021-05

    Source: https://inria.hal.science/hal-04115337 ; 2023.

    Subject Terms: Matrix and tensor computations, Low-rank approximations, Mixed precision algorithms, Iterative refinement, Randomized SVD, Tensor decompositions, 65F55, 65G50, 65Y20, 15A69, [INFO]Computer Science [cs], [MATH]Mathematics [math]

    Availability: https://inria.hal.science/hal-04115337
    https://inria.hal.science/hal-04115337v1/document
    https://inria.hal.science/hal-04115337v1/file/Paper.pdf

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  14. 14
    Academic Journal

    Mixed Precision LU Factorization on GPU Tensor Cores: Reducing Data Movement and Memory Footprint

    Authors: Lopez, Florent, Mary, Théo

    Contributors: Innovative Computing Laboratory Knoxville (ICL), The University of Tennessee Knoxville, Performance et Qualité des Algorithmes Numériques (PEQUAN), LIP6, Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)

    Source: ISSN: 1094-3420 ; International Journal of High Performance Computing Applications ; https://hal.science/hal-02937325 ; International Journal of High Performance Computing Applications, In press.

    Subject Terms: numerical linear algebra, mixed precision algorithms, high performance computing, LU factorization, tensor cores, NVIDIA GPU, rounding error analysis, [INFO]Computer Science [cs], [MATH]Mathematics [math]

    Relation: hal-02937325; https://hal.science/hal-02937325; https://hal.science/hal-02937325v2/document; https://hal.science/hal-02937325v2/file/paper.pdf

    Availability: https://hal.science/hal-02937325
    https://hal.science/hal-02937325v2/document
    https://hal.science/hal-02937325v2/file/paper.pdf

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  15. 15
    Report

    Mixed Precision Low Rank Approximations and their Application to Block Low Rank LU Factorization

    Authors: Amestoy, Patrick, Boiteau, Olivier, Buttari, Alfredo, Gerest, Matthieu, Jézéquel, Fabienne, L'Excellent, Jean-Yves, Mary, Théo

    Contributors: Mumps Technologies, Algorithmes Parallèles et Optimisation (IRIT-APO), Institut de recherche en informatique de Toulouse (IRIT), Université Toulouse 1 Capitole (UT1), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Université Toulouse - Jean Jaurès (UT2J)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique (Toulouse) (Toulouse INP), Université Fédérale Toulouse Midi-Pyrénées-Université Toulouse 1 Capitole (UT1), Université Fédérale Toulouse Midi-Pyrénées, EDF R&D (EDF R&D), EDF (EDF), Performance et Qualité des Algorithmes Numériques (PEQUAN), LIP6, Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de l'Informatique du Parallélisme (LIP), Centre National de la Recherche Scientifique (CNRS)-Université de Lyon-Institut National de Recherche en Informatique et en Automatique (Inria)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-École normale supérieure - Lyon (ENS Lyon), CIFRE PhDthesis of Matthieu Gerest funded by EDF

    Source: https://hal.archives-ouvertes.fr/hal-03251738 ; 2021.

    Subject Terms: numerical linear algebra, rounding error analysis, floating-point arithmetic, mixed precision algorithms, multiprecision algorithms, block low-rank matrices, data sparse matrices, LU factorization, linear systems, low-rank approximations, singular value decomposition, [INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA], [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], [INFO.INFO-AO]Computer Science [cs]/Computer Arithmetic

    Relation: hal-03251738; https://hal.archives-ouvertes.fr/hal-03251738; https://hal.archives-ouvertes.fr/hal-03251738v2/document; https://hal.archives-ouvertes.fr/hal-03251738v2/file/mixedBLR.pdf

    Availability: https://hal.archives-ouvertes.fr/hal-03251738
    https://hal.archives-ouvertes.fr/hal-03251738v2/document
    https://hal.archives-ouvertes.fr/hal-03251738v2/file/mixedBLR.pdf

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  16. 16
    eBook

    Using Mixed Precision Algorithm for LINPACK Benchmark on AMD GPU

    Authors: Zhang, XianyiAff1, Aff2, Zhang, YunquanAff1, Aff3, Wang, LeiAff1, Aff2

    Contributors: Yuen, David A., editorAffID1, Wang, Long, editorAffID2, Chi, Xuebin, editorAffID3, Johnsson, Lennart, editorAffID4, Ge, Wei, editorAffID5, Shi, Yaolin, editorAffID6

    Source: GPU Solutions to Multi-scale Problems in Science and Engineering. :555-560

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  17. 17
    Report

    Mixed Precision LU Factorization on GPU Tensor Cores: Reducing Data Movement and Memory Footprint

    Authors: Lopez, Florent, Mary, Théo

    Contributors: Innovative Computing Laboratory Knoxville (ICL), The University of Tennessee Knoxville, Performance et Qualité des Algorithmes Numériques (PEQUAN), LIP6, Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)

    Source: https://hal.archives-ouvertes.fr/hal-02937325 ; 2020.

    Subject Terms: numerical linear algebra, mixed precision algorithms, high performance computing, LU factorization, tensor cores, NVIDIA GPU, rounding error analysis, [INFO]Computer Science [cs], [MATH]Mathematics [math]

    Relation: hal-02937325; https://hal.archives-ouvertes.fr/hal-02937325; https://hal.archives-ouvertes.fr/hal-02937325/document; https://hal.archives-ouvertes.fr/hal-02937325/file/paper.pdf

    Availability: https://hal.archives-ouvertes.fr/hal-02937325
    https://hal.archives-ouvertes.fr/hal-02937325/document
    https://hal.archives-ouvertes.fr/hal-02937325/file/paper.pdf

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  18. 18
    Academic Journal

    Implementation of mixed precision in solving systems of linear equations on the Cell processor

    Authors: Jack Dongarra, Jakub Kurzak

    Source: Kurzak, J & Dongarra, J 2007, 'Implementation of mixed precision in solving systems of linear equations on the Cell processor', Concurrency and Computation: Practice & Experience, vol. 19, no. 10, pp. 1371-1385. https://doi.org/10.1002/cpe.1164

    Subject Terms: Iterative refinement, Mixed-precision algorithms, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, LINPACK, Cell broadband engine, HPL

    Access URL: https://dblp.uni-trier.de/db/journals/concurrency/concurrency19.html#KurzakD07
    http://onlinelibrary.wiley.com/doi/10.1002/cpe.1164/full
    https://www.research.manchester.ac.uk/portal/en/publications/implementation-of-mixed-precision-in-solving-systems-of-linear-equations-on-the-cell-processor(775e79dd-e669-4f37-b953-6660732a7dd3).html
    http://www.escholar.manchester.ac.uk/uk-ac-man-scw:1a10882
    http://cscads.rice.edu/presentations/fulltext-kurzak.pdf
    https://core.ac.uk/display/74115495

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  19. 19
    Report

    A High Performance QDWH-SVD Solver using Hardware Accelerators

    Authors: Sukkari, Dalal E., Ltaief, Hatem, Keyes, David E.

    Contributors: Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division, Extreme Computing Research Center

    Subject Terms: Singular Value Decomposition, Polar Decomposition, Symmetric Eigensolver, Mixed Precision Algorithms, GPU-based Scientific Computing

    File Description: application/pdf

    Relation: Sukkari, D., Ltaief, H., & Keyes, D. (2016). A High Performance QDWH-SVD Solver Using Hardware Accelerators. ACM Transactions on Mathematical Software, 43(1), 1–25. doi:10.1145/2894747; http://hdl.handle.net/10754/348632

    Availability: http://hdl.handle.net/10754/348632
    https://doi.org/10.1145/2894747

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  20. 20
    Academic Journal

    Solving systems of linear equations on the CELL processor using Cholesky factorization

    Authors: Jakub Kurzak, Alfredo Buttari, Jack Dongarra

    Contributors: The Pennsylvania State University CiteSeerX Archives

    Source: http://www.cs.utk.edu/~library/TechReports/2007/ut-cs-07-596.pdf.

    Subject Terms: CELL BE, iterative refinement, mixed-precision algorithms, Cholesky factorization

    File Description: application/pdf

    Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.138.5565

    Availability: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.138.5565
    http://www.cs.utk.edu/~library/TechReports/2007/ut-cs-07-596.pdf

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