CALCOLO

, Volume 16, Issue 4, pp 383–398 | Cite as

Families of algebraic test equations

  • W. Gautschi
Article
Received:
  • 19 Downloads

Keywords

Condition Number Test Equation Numerical Condition Integer Coefficient Fixed Degree 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. W. Gautschi:On the condition of algebraic equations, Numer. Math.21, (1973), 405–424.MATHCrossRefMathSciNetGoogle Scholar
  2. W. Gautschi:Questions of numerical condition related to polynomials, in: «Recent Advances in Numerical Analysis» (1973), C. de Boor and G. H. Golub, eds., Academic Press, New York, 45–72.Google Scholar
  3. R. T. Gregory andD. L. Karney:A Collection of Matrices for Testing Computational Algorithms (1969), Wiley-Interscience, New York. [Corrected reprint, R. E. Krieger Publ. Co., Huntington, N. Y., 1978].Google Scholar
  4. M. A. Jenkins andJ. F. Traub:A three-stage algorithm for real polynomials using quadratic iteration, SIAM J. Numer. Anal.7, (1970), 545–566.CrossRefMathSciNetGoogle Scholar
  5. M. A. Jenkins andJ. F. Traub:Principles for testing polynomial zerofinding programs, ACM Trans. Math. Software1, (1975), 26–34.MATHCrossRefMathSciNetGoogle Scholar
  6. B. T. Smith:ZERPOL, a zero finding algorithm for polynomials using Laguerre's method, M. S. Thesis, Depertment of Computer Science, University of Toronto, (1967).Google Scholar
  7. J. H. Wilkinson:Rounding Errors in Algebraic Processes (1963), Prentice-Hall, Englewood Cliffs, N.J..MATHGoogle Scholar

Copyright information

© Instituto di Elaborazione della Informazione del CNR 1980

Authors and Affiliations

  • W. Gautschi
    • 1
  1. 1.Department of Computer SciencesPurdue UniversityIndianaLafayetteU.S.A.

Personalised recommendations