메뉴 건너뛰기




Volumn , Issue , 2012, Pages 887-898

Multiplying matrices faster than Coppersmith-Winograd

Author keywords

matrix multiplication

Indexed keywords

AUTOMATED APPROACH; MATRIX MULTIPLICATION; MATRIX MULTIPLICATION ALGORITHM;

EID: 84862595166     PISSN: 07378017     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/2213977.2214056     Document Type: Conference Paper
Times cited : (905)

References (21)
  • 3
    • 0001587222 scopus 로고
    • On the sets of integers which contain no three in arithmetic progression
    • F. A. Behrend. On the sets of integers which contain no three in arithmetic progression. Proc. Nat. Acad. Sci., pages 331-332, 1946.
    • (1946) Proc. Nat. Acad. Sci., Pages , pp. 331-332
    • Behrend, F.A.1
  • 7
    • 33748037756 scopus 로고    scopus 로고
    • Group-theoretic algorithms for matrix multiplication
    • H. Cohn, R. Kleinberg, B. Szegedy, and C. Umans. Group-theoretic algorithms for matrix multiplication. In Proc. FOCS, volume 46, pages 379-388, 2005.
    • (2005) Proc. FOCS , vol.46 , pp. 379-388
    • Cohn, H.1    Kleinberg, R.2    Szegedy, B.3    Umans, C.4
  • 8
    • 0344118866 scopus 로고    scopus 로고
    • A group-theoretic approach to fast matrix multiplication
    • H. Cohn and C. Umans. A group-theoretic approach to fast matrix multiplication. In Proc. FOCS, volume 44, pages 438-449, 2003.
    • (2003) Proc. FOCS , vol.44 , pp. 438-449
    • Cohn, H.1    Umans, C.2
  • 9
    • 0019694150 scopus 로고
    • On the asymptotic complexity of matrix multiplication
    • D. Coppersmith and S. Winograd. On the asymptotic complexity of matrix multiplication. In Proc. SFCS, pages 82-90, 1981.
    • (1981) Proc. SFCS , pp. 82-90
    • Coppersmith, D.1    Winograd, S.2
  • 10
    • 85023205150 scopus 로고
    • Matrix multiplication via arithmetic progressions
    • D. Coppersmith and S. Winograd. Matrix multiplication via arithmetic progressions. J. Symbolic Computation, 9(3):251-280, 1990.
    • (1990) J. Symbolic Computation , vol.9 , Issue.3 , pp. 251-280
    • Coppersmith, D.1    Winograd, S.2
  • 11
    • 0002774077 scopus 로고
    • Intersection theorems for systems of sets
    • P. Erdös and R. Rado. Intersection theorems for systems of sets. J. London Math. Soc., 35:85-90, 1960.
    • (1960) J. London Math. Soc. , vol.35 , pp. 85-90
    • Erdös, P.1    Rado, R.2
  • 12
    • 84862592540 scopus 로고    scopus 로고
    • Personal communication
    • F. Le Gall. Personal communication.
    • Le Gall, F.1
  • 14
    • 0012065022 scopus 로고
    • Strassen's algorithm is not optimal
    • V. Y. Pan. Strassen's algorithm is not optimal. In Proc. FOCS, volume 19, pages 166-176, 1978.
    • (1978) Proc. FOCS , vol.19 , pp. 166-176
    • Pan, V.Y.1
  • 15
    • 79959681041 scopus 로고
    • Some properties of disjoint sums of tensors related to matrix multiplication
    • F. Romani. Some properties of disjoint sums of tensors related to matrix multiplication. SIAM J. Comput., pages 263-267, 1982.
    • (1982) SIAM J. Comput. , pp. 263-267
    • Romani, F.1
  • 16
    • 0011047766 scopus 로고
    • On sets of integers which contain no three terms in arithmetical progression
    • R. Salem and D. Spencer. On sets of integers which contain no three terms in arithmetical progression. Proc. Nat. Acad. Sci., 28(12):561-563, 1942.
    • (1942) Proc. Nat. Acad. Sci. , vol.28 , Issue.12 , pp. 561-563
    • Salem, R.1    Spencer, D.2
  • 17
    • 0013069009 scopus 로고
    • Partial and total matrix multiplication
    • A. Schönhage. Partial and total matrix multiplication. SIAM J. Comput., 10(3):434-455, 1981.
    • (1981) SIAM J. Comput. , vol.10 , Issue.3 , pp. 434-455
    • Schönhage, A.1
  • 18
    • 84862634689 scopus 로고    scopus 로고
    • Ph.D. Thesis, U. Edinburgh
    • A. Stothers. Ph.D. Thesis, U. Edinburgh, 2010.
    • (2010)
    • Stothers, A.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
  • 20
    • 84943702783 scopus 로고
    • Relative bilinear complexity and matrix multiplication
    • V. Strassen. Relative bilinear complexity and matrix multiplication. J. reine angew. Math. (Crelles Journal), 375-376:406-443, 1987.
    • (1987) J. Reine Angew. Math. (Crelles Journal) , vol.375-376 , pp. 406-443
    • Strassen, V.1
  • 21
    • 0016493070 scopus 로고
    • General context-free recognition in less than cubic time
    • L. G. Valiant. General context-free recognition in less than cubic time. Journal of Computer and System Sciences, 10:308-315, 1975.
    • (1975) Journal of Computer and System Sciences , vol.10 , pp. 308-315
    • Valiant, L.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.