Automatic error bounds on real zeros of rational functions
- 1 November 1966
- journal article
- Published by Association for Computing Machinery (ACM) in Communications of the ACM
- Vol. 9 (11) , 806-809
- https://doi.org/10.1145/365876.365913
Abstract
A procedure for implementing an interval arithmetic version of the Newton-Raphson method is proposed. The procedure requires 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.Keywords
This publication has 1 reference indexed in Scilit:
- The Automatic Analysis and Control of Computing ErrorsJournal of the Society for Industrial and Applied Mathematics, 1954