Suchergebnisse - block-recursive Strassen’s algorithm

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  1. 1

    A New Fast Recursive Matrix Multiplication Algorithm von Jelfimova, L. D.

    ISSN: 1060-0396, 1573-8337
    Veröffentlicht: New York Springer US 01.07.2019
    Veröffentlicht in Cybernetics and systems analysis (01.07.2019)
    “… = 4 μ with μ = 2 q −1 ( q > 0). As compared with the well-known recursive Strassen’s and Winograd–Strassen’s algorithms, the new algorithm minimizes the multiplicative complexity equal to W m …”
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    Journal Article
  2. 2

    Generalized matrix inversion is not harder than matrix multiplication von PETKOVIC, Marko D, STANIMIROVIC, Predrag S

    ISSN: 0377-0427, 1879-1778
    Veröffentlicht: Kidlington Elsevier B.V 01.08.2009
    Veröffentlicht in Journal of computational and applied mathematics (01.08.2009)
    “… Starting from the Strassen method for rapid matrix multiplication and inversion as well as from the recursive Cholesky factorization algorithm, we introduced a completely block recursive algorithm …”
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    Journal Article
  3. 3

    An Optimized Distributed Recursive Matrix Multiplication for Arbitrary Sized Matrices von Parasrampuria, Utkarsh, Misra, Chandan, Bhattacharya, Sourangshu

    Veröffentlicht: IEEE 10.12.2020
    “… Strassen's block-recursive matrix multiplication is amenable to parallelization via distributed recursion …”
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  4. 4

    A Framework for Generating Distributed-Memory Parallel Programs for Block Recursive Algorithms von Gupta, S.K.S., Huang, C.-H., Sadayappan, P., Johnson, R.W.

    ISSN: 0743-7315, 1096-0848
    Veröffentlicht: San Diego, CA Elsevier Inc 01.05.1996
    Veröffentlicht in Journal of parallel and distributed computing (01.05.1996)
    “… A framework for synthesizing communication-efficient distributed-memory parallel programs for block recursive algorithms such as the fast Fourier transform (FFT …”
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    Journal Article
  5. 5

    EXTENT:a portable programming environment for designing and implementing high-performance block recursive algorithms von Dai, D L, Gupta, S K S, Kaushik, S D, Lu, J H, Singh, R V, Huang, C H, Sadayappan, P, Johnson, R W

    ISBN: 0818666056, 9780818666056
    ISSN: 1063-9535
    Veröffentlicht: 1994
    “… In this programming methodology, block recursive algorithms such as the fast Fourier transform and Strassen's matrix multiplication algorithm are expressed as tensor product formulas involving tensor …”
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  6. 6

    A Tensor Product Formulation of Strassen′s Matrix Multiplication Algorithm with Memory Reduction von Kumar, B., Huang, C.-H., Sadayappan, P., Johnson, R.W.

    ISSN: 1058-9244, 1875-919X
    Veröffentlicht: Egypt Hindawi Publishing Corporation 17.04.1995
    Veröffentlicht in Scientific programming (17.04.1995)
    “… In this methodology, block recursive programs such as the fast Fourier Transforms and Strassen′s matrix multiplication algorithm are expressed as algebraic formulas involving tensor products and other matrix operations …”
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  7. 7

    Synthesizing communication-efficient distributed memory parallel programs for block recursive algorithms von Gupta, Sandeep Kumar S

    ISBN: 9798209192756
    Veröffentlicht: ProQuest Dissertations & Theses 01.01.1995
    “… In this thesis, we present a framework for synthesizing communication-efficient distributed-memory parallel programs for block recursive algorithms, such as the fast Fourier transform (FFT …”
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    Dissertation
  8. 8

    EXTENT: a portable programming environment for designing and implementing high-performance block recursive algorithms von Dai, D. L., Gupta, S. K. S., Kaushik, S. D., Lu, J. H., Singh, R. V., Huang, C. H., Sadayappan, P., Johnson, R. W.

    ISBN: 0818666056, 9780818666056
    Veröffentlicht: Los Alamitos, CA, USA IEEE Computer Society Press 14.11.1994
    “… In this programming methodology, block recursive algorithms such as the fast Fourier transform and Strassen's matrix multiplication algorithm are expressed as tensor product formulas involving tensor …”
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    Tagungsbericht
  9. 9

    EXTENT: a portable programming environment for designing and implementing high-performance block recursive algorithms von Dai, D.L., Gupta, S.K.S., Kaushik, S.D., Lu, J.H., Singh, R.V., Huang, C.-H., Sadayappan, P., Johnson, R.W.

    ISBN: 0818666056, 9780818666056
    Veröffentlicht: IEEE Comput. Soc. Press 1994
    Veröffentlicht in Supercomputing, `94 (1994)
    “… In this programming methodology, block recursive algorithms such as the fast Fourier transform and Strassen's matrix multiplication algorithm are expressed as tensor product formulas involving tensor …”
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    Tagungsbericht
  10. 10

    On Distributed Solution for Simultaneous Linear Symmetric Systems von Misra, Chandan, Parasrampuria, Utkarsh, Bhattacharya, Sourangshu, Ghosh, Soumya K.

    Veröffentlicht: IEEE 10.12.2020
    “… In this paper, we present two distributed block-recursive approaches to solve large SPD systems - the symmetric version of the state-of-the-art Strassen's algorithm and Cholesky based inversion algorithm …”
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  11. 11

    A tensor product formulation of Strassen's matrix multiplication algorithm with memory reduction von Kumar, B., Huang, C.-H., Johnson, R.W., Sadayappan, P.

    ISBN: 9780818634420, 0818634421
    Veröffentlicht: IEEE Comput. Soc. Press 1993
    “… A programming methodology based on tensor products has been used for designing and implementing block recursive algorithms for parallel and vector multiprocessors …”
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    Tagungsbericht
  12. 12

    A Method of Ultra-Large-Scale Matrix Inversion Using Block Recursion von Wang, HouZhen, Guo, Yan, Zhang, HuanGuo

    ISSN: 2078-2489, 2078-2489
    Veröffentlicht: Basel MDPI AG 01.11.2020
    Veröffentlicht in Information (Basel) (01.11.2020)
    “… ; nonetheless, the need has become increasingly urgent. Hence, we propose a parallel distributed block recursive computing method that can process matrices at a significantly increased scale, based on Strassen’s method …”
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    Journal Article
  13. 13

    New features in MathPartner 2021 von Malaschonok, Gennadi, Seliverstov, Alexandr

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 23.04.2022
    Veröffentlicht in arXiv.org (23.04.2022)
    “… We introduce new features in the MathPartner service that have recently become available to users. We highlight the functions for calculating both …”
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    Paper
  14. 14

    SPIN: A Fast and Scalable Matrix Inversion Method in Apache Spark von Misra, Chandan, Bhattacharya, Sourangshu, Ghosh, Soumya K

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 15.01.2018
    Veröffentlicht in arXiv.org (15.01.2018)
    “… using big data platforms rely on LU decomposition based block-recursive algorithms. However, these algorithms are complex and require a lot of side calculations, e.g …”
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