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Volumn 1996-November, Issue , 1996, Pages

Implementation of Strassen's algorithm for matrix multiplication

Author keywords

Level 3 BLAS; Matrix multiplication; Strassen's algorithm; Winograd variant

Indexed keywords

CODES (SYMBOLS);

EID: 33947652414     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SUPERC.1996.183534     Document Type: Conference Paper
Times cited : (42)

References (19)
  • 2
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    • (1988) SIAM J. Sci. Stat. Computing , vol.9 , pp. 603-607
    • Bailey, D.H.1
  • 3
    • 0025997771 scopus 로고
    • Using Strassen's algorithm to accelerate the solution of linear systems
    • D. H. Bailey, K. Lee, and H. D. Simon. Using Strassen's Algorithm to Accelerate the Solution of Linear Systems. Journal of Supercomputing, 4(5):357-371, 1990.
    • (1990) Journal of Supercomputing , vol.4 , Issue.5 , pp. 357-371
    • Bailey, D.H.1    Lee, K.2    Simon, H.D.3
  • 4
    • 0004182554 scopus 로고
    • Technical report, Stanford University, Technical Report CS 157, ( National Technical Information Service, # AD705509
    • R. P. Brent. Algorithms for matrix multiplication. Technical report, Stanford University, 1970. Technical Report CS 157, (Available from National Technical Information Service, # AD705509).
    • (1970) Algorithms for Matrix Multiplication
    • Brent, R.P.1
  • 5
    • 0017149669 scopus 로고
    • On the implementation of Strassen's fast multiplication algorithm
    • J. Cohen and M. Roth. On the implementation of Strassen's fast multiplication algorithm. Acta Informatica, 6:341-355, 1976.
    • (1976) Acta Informatica , vol.6 , pp. 341-355
    • Cohen, J.1    Roth, M.2
  • 8
    • 0002663082 scopus 로고
    • GemMW: A portable level 3 BLAS Winograd variant of Strassen's matrix-matrix multiply algorithm
    • G. Douglas, M. Heroux, G. Slishman, and R. M. Smith. GEMMW: A portable level 3 BLAS Winograd variant of Strassen's matrix-matrix multiply algorithm. Journal of Computational Physics, 110:1-10, 1994.
    • (1994) Journal of Computational Physics , vol.110 , pp. 1-10
    • Douglas, G.1    Heroux, M.2    Slishman, G.3    Smith, R.M.4
  • 11
    • 0025637437 scopus 로고
    • Exploiting fast matrix multiplication within the level 3 BLAS
    • N. J. Higham. Exploiting fast matrix multiplication within the level 3 BLAS. ACM Trans. Math. Software, 16:352-368, 1990.
    • (1990) ACM Trans. Math. Software , vol.16 , pp. 352-368
    • Higham, N.J.1
  • 12
    • 0026913668 scopus 로고
    • Stability of block algorithms with fast level 3 BLAS
    • N. J. Higham. Stability of block algorithms with fast level 3 BLAS. ACM Trans. Math. Software, 18:274-291, 1992.
    • (1992) ACM Trans. Math. Software , vol.18 , pp. 274-291
    • Higham, N.J.1
  • 15
    • 0031129191 scopus 로고    scopus 로고
    • A parallelizable eigensolver for real diagonalizable matrices with real eigenvalues
    • to appear
    • S. Huss-Lederman, A. Tsao, and T. Turnbull. A parallelizable eigensolver for real diagonalizable matrices with real eigenvalues. SIAM J. Sci. Computing, 18(2), 1997. (to appear).
    • (1997) SIAM J. Sci. Computing , vol.18 , Issue.2
    • Huss-Lederman, S.1    Tsao, A.2    Turnbull, T.3
  • 17
    • 21844509702 scopus 로고
    • Fast rectangular matrix multiplication and QR decomposition
    • P. A. Knight. Fast rectangular matrix multiplication and QR decomposition. Linear Algebra Appi., 221:69-81, 1995.
    • (1995) Linear Algebra Appi , vol.221 , pp. 69-81
    • Knight, P.A.1
  • 18
    • 77956274608 scopus 로고
    • On the additive complexity of matrix multiplication
    • R. L. Probert. On the additive complexity of matrix multiplication. SIAM Journal of Computing, 5(6):187-203, 1976.
    • (1976) SIAM Journal of Computing , vol.5 , Issue.6 , pp. 187-203
    • Probert, R.L.1
  • 19
    • 34250487811 scopus 로고
    • Gaussian elimination is not optimal
    • V. Strassen. Gaussian elimination is not optimal. Numer. Math., 13:354-356, 1969.
    • (1969) Numer. Math. , vol.13 , pp. 354-356
    • Strassen, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.