Improvement of complex arithmetic by use of double elements

  • Authors:
  • C. B. Dunham

  • Affiliations:
  • -

  • Venue:
  • ACM SIGNUM Newsletter
  • Year:
  • 1989

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Abstract

It is shown that use of double precision in complex multiplication and division can significantly reduce rounding errors in these operations. Use of double precision accumulation of inner products in complex multiplication gives very close to the best possible error bound. Use of the same in complex division reduces error bounds, but a double precision divide is necessary to get close to the best possible bound.