Polynomials with coefficients of limited accuracy. (English) Zbl 1072.65509
Ganzha, V. G. (ed.) et al., Computer algebra in scientific computing. CASC ’99. Proceedings of the 2nd workshop, Munich, Germany, May 31 - June 4, 1999. Berlin: Springer (ISBN 3-540-66047-X). 409-430 (1999).
Summary: In scientific computing, data often have a limited accuracy. With polynomial modelling functions, this affects the meaningful accuracy of their zeros. We derive constructive criteria for judging the validity of approximate zeros relative to inaccuracies in the polynomials.
|65H05||Single nonlinear equations (numerical methods)|