skip to main content
10.1145/800157.805036acmconferencesArticle/Chapter ViewAbstractPublication PagesstocConference Proceedingsconference-collections
Article
Free Access

Some results concerning efficient and optimal algorithms

Published:03 May 1971Publication History

ABSTRACT

Computational Complexity is concerned with how difficult, under some measure of difficulty, it is to evaluate certain functions or classes of functions. Most of the work in this area, however, deals with models of computation quite unlike a stored program computer, and functions very different from those which are actually computed. In this paper we turn our attention to techniques of computing some useful functions on “computer-like” devices in optimal or near optimal ways.

References

  1. 1.Pan, V. Ya, "Methods of Computing Values of Polynomials", Russian Mathematical Surveys, Vol. 21, No. 1, pp 105-6.Google ScholarGoogle Scholar
  2. 2.Borodin, A., "Some Results on the Computation of Polynomial Forms", unpublished manuscript.Google ScholarGoogle Scholar
  3. 3.Winograd, S., "On the Number of Multiplications Required to Compute Certain Functions", Proc. National Academy of Sciences 58:5, pp 1840-2 and IBM Internal Report.Google ScholarGoogle ScholarCross RefCross Ref
  4. 4.Hopcroft, J., Personal Communication.Google ScholarGoogle Scholar
  5. 5.Paterson, M., Personal Communication.Google ScholarGoogle Scholar
  6. 6.Brauer, A., Bull. AMS 45(1939), pp 736-9.Google ScholarGoogle ScholarCross RefCross Ref
  7. 7.Erdös, Paul, Acta Arithmetica 6(1960), pp 77-81.Google ScholarGoogle Scholar
  8. 8.Knuth, D., The Art of Computer Programming, Vol. 2. Google ScholarGoogle ScholarDigital LibraryDigital Library

Index Terms

  1. Some results concerning efficient and optimal algorithms

      Recommendations

      Comments

      Login options

      Check if you have access through your login credentials or your institution to get full access on this article.

      Sign in
      • Published in

        cover image ACM Conferences
        STOC '71: Proceedings of the third annual ACM symposium on Theory of computing
        May 1971
        270 pages
        ISBN:9781450374644
        DOI:10.1145/800157

        Copyright © 1971 ACM

        Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

        Publisher

        Association for Computing Machinery

        New York, NY, United States

        Publication History

        • Published: 3 May 1971

        Permissions

        Request permissions about this article.

        Request Permissions

        Check for updates

        Qualifiers

        • Article

        Acceptance Rates

        STOC '71 Paper Acceptance Rate23of50submissions,46%Overall Acceptance Rate1,469of4,586submissions,32%

        Upcoming Conference

        STOC '24
        56th Annual ACM Symposium on Theory of Computing (STOC 2024)
        June 24 - 28, 2024
        Vancouver , BC , Canada

      PDF Format

      View or Download as a PDF file.

      PDF

      eReader

      View online with eReader.

      eReader