Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Journal of Computing, Vol. 9, No 1, (2015), 27p-34p
Abstract:
This paper is dedicated to Prof. Nikolay Kyurkchiev
on the occasion of his 70th anniversary
This paper gives sufficient conditions for kth approximations of
the zeros of polynomial f (x) under which Kyurkchiev’s method fails on the
next step. The research is linked with an attack on the global convergence
hypothesis of this commonly used in practice method (as correlate hypothesis
for Weierstrass–Dochev’s method). Graphical examples are presented.
