Recursive de Casteliau bisection and rounding errors
Rounding errors of the de Casteljau bisection algorithm applied recursively to finding zeros of polynomials of one or more variables are analyzed. Apart from error bounds for this procedure, the paper contains a proof of the so called numerical variation diminishing property (formulated for one-dimensional case), which is significant in practical procedures of solving algebraic equations. (C) 2004 Elsevier B.V. All rights reserved.
solving algebraic equations de casteljau algorithm rounding error analysis