Time and Parallel Processor Bounds for Linear Recurrence Systems

  • Authors:
  • Shyh-Ching Chen;D. J. Kuck

  • Affiliations:
  • Department of Computer Science, University of Illinois;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1975

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Abstract

We give new time and processor bounds for the parallel evaluation of linear recurrence systems. Such systems may be represented as x¯ =c¯ + Ax¯ where A is an n X n strictly lower triangular matrix and c is a constant column vector. We show that O og22n) time steps and n3/ 8 + 0O2) processors are sufficient. We also show that mth order linear recurrences,