A language independent macro processor

  • Authors:
  • William M. Waite

  • Affiliations:
  • Univ. of Colorado, Boulder

  • Venue:
  • Communications of the ACM
  • Year:
  • 1967

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Abstract

The problem of obtaining starting values for the Newton-Raphson calculation of √x on a digital computer is considered. It is shown that the conventionally used best uniform approximations to √x do not provide optimal starting values. The problem of obtaining optimal starting values is stated, and several basic results are proved. A table of optimal polynomial starting values is given.