메뉴 건너뛰기




Volumn 25, Issue 2, 2003, Pages 155-175

Parallel complexity of matrix multiplication

Author keywords

Linear algebra; LogP model; Lower bounds and optimality; Matrix multiplication; Numerical algorithms; Parallel algorithms; Parallel complexity; Parallel models

Indexed keywords

COMPUTATIONAL COMPLEXITY; DISTRIBUTED COMPUTER SYSTEMS; MATRIX ALGEBRA; PARALLEL ALGORITHMS;

EID: 0038783746     PISSN: 09208542     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1023996628662     Document Type: Conference Paper
Times cited : (5)

References (27)
  • 2
    • 0028545949 scopus 로고
    • A high-performance matrix multiplication algorithm on a distributed-memory parallel computer using overlapped communication
    • R. C. Agarwal, F. G. Gustavson, and M. Zubair. A high-performance matrix multiplication algorithm on a distributed-memory parallel computer using overlapped communication. IBM J. Res. Develop., 1994.
    • (1994) IBM J. Res. Develop.
    • Agarwal, R.C.1    Gustavson, F.G.2    Zubair, M.3
  • 4
    • 0024883116 scopus 로고
    • Communication efficient matrix multiplication on hypercubes
    • J. Berntsen. Communication efficient matrix multiplication on hypercubes. Parallel Computing, 12:335-342, 1989.
    • (1989) Parallel Computing , vol.12 , pp. 335-342
    • Berntsen, J.1
  • 7
    • 0037631791 scopus 로고
    • Efficient mapping and implementation of matrix algorithms on a hypercube
    • V. Cherkassky and R. Smith. Efficient mapping and implementation of matrix algorithms on a hypercube. J. Supercomputing, 2:7-27, 1988.
    • (1988) J. Supercomputing , vol.2 , pp. 7-27
    • Cherkassky, V.1    Smith, R.2
  • 8
    • 0028530654 scopus 로고
    • PUMMA: Parallel universal matrix multiplication algorithms on distributed-memory concurrent computers
    • October
    • J. Choi, J. Dongarra, and D. W. Walker. PUMMA: Parallel Universal Matrix Multiplication Algorithms on Distributed-Memory Concurrent Computers. Concurrency: Pract. & Exper., Vol. 6, October 1994.
    • (1994) Concurrency: Pract. & Exper. , vol.6
    • Choi, J.1    Dongarra, J.2    Walker, D.W.3
  • 12
    • 0037631801 scopus 로고
    • Domain decomposition in distributed and shared memory environments
    • G. Fox. Domain decomposition in distributed and shared memory environments. In Proceedings of the Int. Conf. on Supercomputing, 1042-1073, 1987.
    • (1987) Proceedings of the Int. Conf. on Supercomputing , pp. 1042-1073
    • Fox, G.1
  • 14
    • 0023288009 scopus 로고
    • Matrix algorithms on a hypercube i: Matrix multiplication
    • G. Fox, S. Otto, and A. Hey. Matrix algorithms on a hypercube i: Matrix multiplication. Parallel Computing, 4:17-31, 1987.
    • (1987) Parallel Computing , vol.4 , pp. 17-31
    • Fox, G.1    Otto, S.2    Hey, A.3
  • 15
    • 84990908392 scopus 로고
    • Scalability of parallel algorithms for matrix multiplications
    • University of Minnesota
    • A. Gupta and V. Kumar. Scalability of parallel algorithms for matrix multiplications. Technical Report 91-54, University of Minnesota, 1991.
    • (1991) Technical Report , vol.91 , Issue.54
    • Gupta, A.1    Kumar, V.2
  • 20
    • 0031146653 scopus 로고    scopus 로고
    • A poly-algorithm for parallel dense matrix multiplication on 2D process grid topologies
    • G. Li, A. Skjellum, and R. D. Falgout. A poly-algorithm for parallel dense matrix multiplication on 2D process grid topologies. Concurrency: Pract. and Expr., 9(5):345-389, 1997.
    • (1997) Concurrency: Pract. and Expr. , vol.9 , Issue.5 , pp. 345-389
    • Li, G.1    Skjellum, A.2    Falgout, R.D.3
  • 23
    • 0034226293 scopus 로고    scopus 로고
    • Matrix multiplication and data routing using a partitioned optical passive stars network
    • S. Sahni. Matrix multiplication and data routing using a partitioned optical passive stars network. IEEE Trans. on Parallel and Distributed Systems, 11(7), 2000.
    • (2000) IEEE Trans. on Parallel and Distributed Systems , vol.11 , Issue.7
    • Sahni, S.1
  • 24
    • 0036106373 scopus 로고    scopus 로고
    • Optimal and efficient parallel algorithms for summing and prefix summing
    • E. E. Santos. Optimal and efficient parallel algorithms for summing and prefix summing. J. Parallel and Distributed Computing, 62(4), 517-543, 2002.
    • (2002) J. Parallel and Distributed Computing , vol.62 , Issue.4 , pp. 517-543
    • Santos, E.E.1
  • 26
  • 27
    • 0031123769 scopus 로고    scopus 로고
    • SUMMA: Scalable universal matrix multiplication algorithm
    • April
    • R. van de Geijn and J. Watts. SUMMA: Scalable universal matrix multiplication algorithm. In Concurrency: Pract. & Exper., Vol. 9, April 1997.
    • (1997) Concurrency: Pract. & Exper. , vol.9
    • Van de Geijn, R.1    Watts, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.