Automatic Error Bounds on Real Zeros of Rational Functions

A procedure for implementing an interval arithmetic
version of the Newton-Raphson method is 
proposed.  The procedure require only a starting interval
over which the zeros of a given rational function 
are to be located.  The method automatically provides bounds 
for roundoff error.

CACM November, 1966

Dargel, R. H.
Loscalzo, F. R.
Witt, T. H.

CA661107 JB March 2, 1978  3:31 PM

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