A Parallel Algorithm for the Efficient Solution of a General Class of Recurrence Equations

@article{Kogge1973APA,
  title={A Parallel Algorithm for the Efficient Solution of a General Class of Recurrence Equations},
  author={P. Kogge and H. Stone},
  journal={IEEE Transactions on Computers},
  year={1973},
  volume={C-22},
  pages={786-793}
}
  • P. Kogge, H. Stone
  • Published 1973
  • Mathematics, Computer Science
  • IEEE Transactions on Computers
  • An mth-order recurrence problem is defined as the computation of the series x<inf>1</inf>, x<inf>2</inf>, ..., X<inf>N</inf>, where x<inf>i</inf> = f<inf>i</inf>(x<inf>i-1</inf>, ..., x<inf>i-m</inf>) for some function f<inf>i</inf>. This paper uses a technique called recursive doubling in an algorithm for solving a large class of recurrence problems on parallel computers such as the Iliac IV. Recursive doubling involves the splitting of the computation of a function into two equally complex… CONTINUE READING
    1,203 Citations
    Time and Parallel Processor Bounds for Linear Recurrence Systems
    • S. Chen, D. Kuck
    • Mathematics, Computer Science
    • IEEE Transactions on Computers
    • 1975
    • 99
    New algorithms and lower bounds for the parallel evaluation of certain rational expressions
    • H. T. Kung
    • Mathematics, Computer Science
    • STOC '74
    • 1974
    • 17
    • PDF
    Parallel Solution of Recurrence Problems
    • P. Kogge
    • Mathematics, Computer Science
    • IBM J. Res. Dev.
    • 1974
    • 96
    • PDF
    New Algorithms and Lower Bounds for the Parallel Evaluation of Certain Rational Expressions and Recurrences
    • 56
    • PDF
    K-Dimensional Optimal Parallel Algorithm for the solution of a general class of recurrence equations
    • Q. Gao, Z. Liu
    • Computer Science
    • Journal of Computer Science and Technology
    • 2008
    Parallel Solutions of Simple Indexed Recurrence Equations
    • 11
    • Highly Influenced
    Eecient Parallel Solutions of Indexed Recurrences with Linear Combinations
    • Highly Influenced
    The power of parallel prefix
    • 266
    • PDF
    Parallel algorithms
    • 24
    • PDF
    A chained-matrices approach for parallel computation of continued fractions and its applications
    • 8
    • Highly Influenced

    References

    SHOWING 1-3 OF 3 REFERENCES
    Optimal Algorithms for Parallel Polynomial Evaluation
    • 35
    Optimal algorithms for paraUel polynomial evaluation
    • SIAM J . Numner . Anal .
    • 1970