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Optimal multiplication chains for computing a power of a symbolic polynomial

Published:01 April 1971Publication History
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Abstract

This paper shows that in a certain model of symbolic manipulation of algebraic formulae, the simple method of computing a power of a symbolic polynomial by repeated multiplication by the original polynomial is, in essence, the optimal method.

References

  1. Gentleman, W. M. and Sande, G. "Fast Fourier Transforms -- For Fun and Profit". Proceedings of the 1966 Fall Joint Computer Conference, AFIPS, Spartan Books, Washington (1966), pp. 563--578.Google ScholarGoogle Scholar
  2. Knuth, D. "The Art of Computer Programming: Volume II, Seminumerical Algorithms", Addison Wesley, Reading, Massachusetts (1968). Google ScholarGoogle ScholarDigital LibraryDigital Library

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    • Published in

      cover image ACM SIGSAM Bulletin
      ACM SIGSAM Bulletin Just Accepted
      April 1971
      8 pages
      ISSN:0163-5824
      DOI:10.1145/1093425
      Issue’s Table of Contents

      Copyright © 1971 Author

      Publisher

      Association for Computing Machinery

      New York, NY, United States

      Publication History

      • Published: 1 April 1971

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