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Original Articles

Wilkinson-type error analysis applied to double-precision accumulation under contamination

Pages 369-372 | Received 23 Dec 1997, Published online: 20 Mar 2007

References

  • Dunham , C.B. 1985 . Floating point with rounding before normalization . CongressusNumerantium (proc, Manitoba Conf.) , 46 : 91 – 102 .
  • Dunham , C. B. 101989 . Improvement of complex arithmetic by use of double precision . SIGNUM Newsletter , 24 : 3 – 6 .
  • Hull , T. E. , Fairgrieve , T. F. and Tang , P. T. P. 1989 . Implementing complex elementary functions using exception handling . ACM Trans. Math. Software , 20 : 215 – 244 .
  • Hull T. E. Fairgrieve T. F. Tang P. T. P. Implementing the complex arcsine and arccosine functions using exception handling ACM Trans. Math. Software 1997 to appear in September issue
  • F. W. J. , Olver . 1983 . Error bounds for arithmetic operations on computers without guardigits . IMA J. Numer. Anal , 3 : 153 – 160 .
  • Wilkinson , J. H. 1963 . Rounding Errors in Algebraic Processes , Prentice-Hall : HMSO .

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