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Volumn 26, Issue 11, 2000, Pages 1429-1445

Derivation of systolic algorithms for the algebraic path problem by recurrence transformations

Author keywords

Algebraic path problem; Dependence graph; Systolic architectures; Uniform recurrence equations

Indexed keywords


EID: 18744433892     PISSN: 01678191     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8191(00)00039-9     Document Type: Article
Times cited : (12)

References (33)
  • 2
    • 0025495124 scopus 로고
    • Space-time minimal systolic arrays for Gaussian elimination and the algebraic path problem
    • A. Benaini, Y. Robert, Space-time minimal systolic arrays for Gaussian elimination and the algebraic path problem, Parallel Comput. 15 (1990) 211-225.
    • (1990) Parallel Comput. , vol.15 , pp. 211-225
    • Benaini, A.1    Robert, Y.2
  • 3
    • 0346619743 scopus 로고
    • A new systolic architecture for the algebraic path problem
    • J. McCanny et al. (Eds.), Prentice-Hall, Englewood Cliffs
    • A. Benaini, Y. Robert, B. Tourancheau, A new systolic architecture for the algebraic path problem, in: J. McCanny et al. (Eds.), Systolic Array Processors, Prentice-Hall, Englewood Cliffs, 1989, pp. 73-82.
    • (1989) Systolic Array Processors , pp. 73-82
    • Benaini, A.1    Robert, Y.2    Tourancheau, B.3
  • 4
    • 0025797968 scopus 로고
    • A processor-time minimal systolic array for transitive closure
    • S.Y. Kung et al. (Eds.), IEEE Computer Society Press
    • P.R. Cappello, C.J. Scheiman. A processor-time minimal systolic array for transitive closure, in: S.Y. Kung et al. (Eds.), Application Specific Array Processors, IEEE Computer Society Press, 1990, pp. 19-30.
    • (1990) Application Specific Array Processors , pp. 19-30
    • Cappello, P.R.1    Scheiman, C.J.2
  • 6
    • 38249015596 scopus 로고
    • Synthesis of size-optimal toroidal arrays for the algebraic path problem: A new contribution
    • P. Clauss, C. Mongenet, G.R. Perrin, Synthesis of size-optimal toroidal arrays for the algebraic path problem: a new contribution, Parallel Comput. 18 (1992) 185-194.
    • (1992) Parallel Comput. , vol.18 , pp. 185-194
    • Clauss, P.1    Mongenet, C.2    Perrin, G.R.3
  • 7
    • 0028467553 scopus 로고
    • A family of efficient regular arrays for the algebraic path problem
    • S.P.Y. Chang, J.C. Tsay, A family of efficient regular arrays for the algebraic path problem, IEEE Trans. Parallel Distrib. Systems 43 (7) (1994) 769-777.
    • (1994) IEEE Trans. Parallel Distrib. Systems , vol.43 , Issue.7 , pp. 769-777
    • Chang, S.P.Y.1    Tsay, J.C.2
  • 8
    • 0345907338 scopus 로고
    • A parallel algorithm for the algebraic path problem
    • M. Cosnard et al. (Eds.), North-Holland, Amsterdam
    • J.M. Delosme, A parallel algorithm for the algebraic path problem, in: M. Cosnard et al. (Eds.), Parallel and Distributed Algorithm, North-Holland, Amsterdam, 1989, pp. 67-78.
    • (1989) Parallel and Distributed Algorithm , pp. 67-78
    • Delosme, J.M.1
  • 10
    • 0022321084 scopus 로고
    • A spiral systolic algorithm/architecture for transitive closure problems
    • Rye Town, NY
    • S.Y. Kung, S.C. Lo, A spiral systolic algorithm/architecture for transitive closure problems, in: International Conference on Circuit Design (ICCD), Rye Town, NY, 1985, pp. 622-626.
    • (1985) International Conference on Circuit Design (ICCD) , pp. 622-626
    • Kung, S.Y.1    Lo, S.C.2
  • 11
    • 0025235634 scopus 로고
    • Mapping nested loop algorithms into multidimensional systolic arrays
    • P. Lee, Z.M. Kedem, Mapping nested loop algorithms into multidimensional systolic arrays, IEEE Trans. Parallel Distrib. Systems 1 (1) (1990) 64-76.
    • (1990) IEEE Trans. Parallel Distrib. Systems , vol.1 , Issue.1 , pp. 64-76
    • Lee, P.1    Kedem, Z.M.2
  • 12
    • 0023347279 scopus 로고
    • Optimal systolic design for the transitive closure and the shortest path problems
    • S.Y. Kung, S.C. Lo, P.S. Lewis, Optimal systolic design for the transitive closure and the shortest path problems, IEEE Trans. Comput. C 36 (5) (1987) 603-614.
    • (1987) IEEE Trans. Comput. C , vol.36 , Issue.5 , pp. 603-614
    • Kung, S.Y.1    Lo, S.C.2    Lewis, P.S.3
  • 13
    • 0025792755 scopus 로고
    • An optimal systolic array for the algebraic path problem
    • P.S. Lewis, S.Y. Kung, An optimal systolic array for the algebraic path problem, IEEE Trans. Comput. 40 (1) (1991) 100-105.
    • (1991) IEEE Trans. Comput. , vol.40 , Issue.1 , pp. 100-105
    • Lewis, P.S.1    Kung, S.Y.2
  • 15
    • 0020207178 scopus 로고
    • On the analysis and synthesis of VLSI algorithms
    • D.I. Moldovan, On the analysis and synthesis of VLSI algorithms, IEEE Trans. Comput. C 31 (11) (1982) 1121-1126.
    • (1982) IEEE Trans. Comput. C , vol.31 , Issue.11 , pp. 1121-1126
    • Moldovan, D.I.1
  • 16
    • 0030148983 scopus 로고    scopus 로고
    • Modular systolic linearization of the Warshall-Floyd algorithm
    • J.F. Myoupo, A.C. Fabret, Modular systolic linearization of the Warshall-Floyd algorithm, IEEE Trans. Parallel Distrib. Systems 7 (5) (1996) 449-455.
    • (1996) IEEE Trans. Parallel Distrib. Systems , vol.7 , Issue.5 , pp. 449-455
    • Myoupo, J.F.1    Fabret, A.C.2
  • 17
    • 0021643324 scopus 로고
    • Modified faddeew algorithm for matrix multiplication
    • Proceedings of the SPIE (Society of photo-optical instrumentation engineers)
    • J.G. Nash, S. Hasen. Modified faddeew algorithm for matrix multiplication, in: Proceedings of the SPIE (Society of photo-optical instrumentation engineers), Real-time Signal Processing, 1984, pp. 39-46.
    • (1984) Real-time Signal Processing , pp. 39-46
    • Nash, J.G.1    Hasen, S.2
  • 18
    • 0021230692 scopus 로고
    • Automatic synthesis of systolic array from uniform recurrence equations
    • Proceedings of the IEEE 11th Annual International Conference on Computer Architecture
    • P. Quinton, Automatic synthesis of systolic array from uniform recurrence equations, in: Proceedings of the IEEE 11th Annual International Conference on Computer Architecture, Ann Arbor, 1984, pp. 208-214.
    • (1984) Ann Arbor , pp. 208-214
    • Quinton, P.1
  • 19
    • 51249173427 scopus 로고
    • The mapping of linear equations on regular arrays
    • P. Quinton, V. Dongen, The mapping of linear equations on regular arrays, J. VLSI Signal Processing 1 (2) (1989) 95-113.
    • (1989) J. VLSI Signal Processing , vol.1 , Issue.2 , pp. 95-113
    • Quinton, P.1    Dongen, V.2
  • 21
    • 0024663338 scopus 로고
    • Synthesizing systolic arrays with control signals from recurrence equations
    • S.V. Rajopadhye, Synthesizing systolic arrays with control signals from recurrence equations, Distrib. Comput. 3 (1989) 88-105.
    • (1989) Distrib. Comput. , vol.3 , pp. 88-105
    • Rajopadhye, S.V.1
  • 22
    • 0025446495 scopus 로고
    • Synthesizing systolic arrays from recurrence
    • S.V. Rajopadhye, R.M. Fujimoto, Synthesizing systolic arrays from recurrence, Parallel Comput. 14 (1990) 163-189.
    • (1990) Parallel Comput. , vol.14 , pp. 163-189
    • Rajopadhye, S.V.1    Fujimoto, R.M.2
  • 23
    • 0027543097 scopus 로고
    • An improved systolic algorithm for the algebraic path problem
    • S.V. Rajopadhye, An improved systolic algorithm for the algebraic path problem, Integration VLSI J. 14 (1993) 279-296.
    • (1993) Integration VLSI J. , vol.14 , pp. 279-296
    • Rajopadhye, S.V.1
  • 24
    • 0345988466 scopus 로고
    • Synthesis of processors arrays for the algebraic path problem: Unifying old results and deriving new architectures
    • T. Risset, Y. Robert, Synthesis of processors arrays for the algebraic path problem: unifying old results and deriving new architectures, Parallel Processing Lett. 1 (1) (1991) 19-28.
    • (1991) Parallel Processing Lett. , vol.1 , Issue.1 , pp. 19-28
    • Risset, T.1    Robert, Y.2
  • 25
    • 0346619738 scopus 로고
    • Résolution systolique de systémes linéaires denses, RAIRO modélisation et analyse numérique
    • Y. Robert, M. Tchuenté, Résolution systolique de systémes linéaires denses, RAIRO modélisation et analyse numérique, Technique et Sciences Informatiques 19 (2) (1985) 315-326.
    • (1985) Technique et Sciences Informatiques , vol.19 , Issue.2 , pp. 315-326
    • Robert, Y.1    Tchuenté, M.2
  • 26
    • 0347880058 scopus 로고
    • Systolic solution of the algebraic path problem
    • W. Moore et al. (Eds.), Adam Hilger, Bristol
    • Y. Robert, D. Trystram, Systolic solution of the algebraic path problem, in: W. Moore et al. (Eds.), Systolic Arrays, Adam Hilger, Bristol, 1987, pp. 171-180.
    • (1987) Systolic Arrays , pp. 171-180
    • Robert, Y.1    Trystram, D.2
  • 27
    • 0021865695 scopus 로고
    • A systolic array algorithm for the algebraic path problem (shortest paths; matrix inversion)
    • G. Rote, A systolic array algorithm for the algebraic path problem (shortest paths; matrix inversion), Computing 34 (3) (1985) 191-219.
    • (1985) Computing , vol.34 , Issue.3 , pp. 191-219
    • Rote, G.1
  • 28
    • 2942594658 scopus 로고
    • Une méthode de conception d'algorithmes systoliques pour réseaux réguliers
    • I. Salko, M. Tchuenté, Une méthode de conception d'algorithmes systoliques pour réseaux réguliers, Technique et Sciences Informatiques 8 (1989) 63-72.
    • (1989) Technique et Sciences Informatiques , vol.8 , pp. 63-72
    • Salko, I.1    Tchuenté, M.2
  • 29
    • 0030092442 scopus 로고    scopus 로고
    • Scheduling of the DAG associated with pipeline inversion of triangular matrices
    • C.T. Djamegni, M. Tchuenté, Scheduling of the DAG associated with pipeline inversion of triangular matrices, Parallel Processing Lett. 6 (1) (1996) 13-26.
    • (1996) Parallel Processing Lett. , vol.6 , Issue.1 , pp. 13-26
    • Djamegni, C.T.1    Tchuenté, M.2
  • 32
    • 0026821873 scopus 로고
    • Transformation of broadcasts into propagations in systolic algorithms
    • Y. Wong, J.M. Delosme, Transformation of broadcasts into propagations in systolic algorithms, J. Parallel Distrib. Comput. 14 (1992) 121-145.
    • (1992) J. Parallel Distrib. Comput. , vol.14 , pp. 121-145
    • Wong, Y.1    Delosme, J.M.2
  • 33
    • 0345988470 scopus 로고
    • Technical Report TRCS88-13, Computer Science Department, University of California, Santa Barbara, April
    • Yoav Yaacoby, Peter R. Cappello, Bounded broadcast in systolic arrays, Technical Report TRCS88-13, Computer Science Department, University of California, Santa Barbara, April 1988.
    • (1988) Bounded Broadcast in Systolic Arrays
    • Yaacoby, Y.1    Cappello, P.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.