article
Free Access

Error analysis in floating point arithmetic

Published:01 May 1959Publication History
First page image

References

  1. 1 Handbook of Automation, Computation, and Control, edited by E. M. Grabbe; Vol. 2, Ch. 2, Programming and Coding, by John W. Carr IH. John Wiley and Sons, Inc., New York, {959.Google ScholarGoogle Scholar
  2. 2 HOUSEHOLDER, A. S., Principles of Numerical Analysis. Mc- Graw-Hill, New York, 1953.Google ScholarGoogle Scholar
  3. 3 HOUSEHOLDER, A. S., Theory of Errors in Digital Computation, Supplement to Notes for the Special Summer Conference on Digital Computers, 1956, University of Michigan College of Engineering, Ann Arbor, Michigan.Google ScholarGoogle Scholar
  4. 4 HOUSEHOLDER, A. S., Generation of errors in digital computation, Bull. Amer. Math. Soc. 60 (1954), 234-247.Google ScholarGoogle ScholarCross RefCross Ref
  5. 5 VON NEUMANN, JOHN, ANn GOLDSTINE, H. H., Numerical inverting of matrices of high order, Bull. Amer. Math. Soc. 58 (1947), 1021-1099.Google ScholarGoogle Scholar
  6. 6 GOLDSTINE, HERMAN H., AND VON NEUMANN, JOHN, Numerical inverting of matrices of high order II, Proc. Amer. Math. Soc. 2 (i951), i88-202.Google ScholarGoogle Scholar
  7. 7 SAUELSON, KLAUS, AND BAUER, OptimMe Rechengenauigkeit bei Rechenanlagen mit gleichendem Komma (Optimal Calculational Precision for Floating-Point Arithmetic Units), Z. Angew. Math. Physik 4 (1953), 312-316.Google ScholarGoogle Scholar
  8. 8 METROPOLIS, J ., Private communication.Google ScholarGoogle Scholar
  9. 9 FISCHER, P. C., Analysis of errors in floating point arithmetic on the IBM 650. To be published.Google ScholarGoogle Scholar
  10. 10 PERLIS, A. J., SMITH, J. W., AND VAN ZOEREN, H. R., Internal Translator (IT)-A Compiler for the 650. Carnegie Institute of Technology, Computation Center, Pittsburgh, Pa.Google ScholarGoogle Scholar
  11. 11 FISCHER, P. C., Automatic propagated and round-off error analysis. To be published.Google ScholarGoogle Scholar

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

Full Access

  • Published in

    cover image Communications of the ACM
    Communications of the ACM  Volume 2, Issue 5
    May 1959
    18 pages
    ISSN:0001-0782
    EISSN:1557-7317
    DOI:10.1145/368325
    • Editor:
    • Alan J. Perlis
    Issue’s Table of Contents

    Copyright © 1959 ACM

    Publisher

    Association for Computing Machinery

    New York, NY, United States

    Publication History

    • Published: 1 May 1959

    Permissions

    Request permissions about this article.

    Request Permissions

    Check for updates

    Qualifiers

    • article

PDF Format

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader
About Cookies On This Site

We use cookies to ensure that we give you the best experience on our website.

Learn more

Got it!