On the Critical Points of Kyurkchiev’s Method for Solving Algebraic Equations
Valchanov, Nikola; Golev, Angel; Iliev, Anton
Serdica Journal of Computing (2015)
- Volume: 9, Issue: 1, page 27-34
- ISSN: 1312-6555
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topValchanov, Nikola, Golev, Angel, and Iliev, Anton. "On the Critical Points of Kyurkchiev’s Method for Solving Algebraic Equations." Serdica Journal of Computing 9.1 (2015): 27-34. <http://eudml.org/doc/281406>.
@article{Valchanov2015,
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.},
author = {Valchanov, Nikola, Golev, Angel, Iliev, Anton},
journal = {Serdica Journal of Computing},
keywords = {Polynomial Roots; Kyurkchiev’s Method; Divergent Sets},
language = {eng},
number = {1},
pages = {27-34},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On the Critical Points of Kyurkchiev’s Method for Solving Algebraic Equations},
url = {http://eudml.org/doc/281406},
volume = {9},
year = {2015},
}
TY - JOUR
AU - Valchanov, Nikola
AU - Golev, Angel
AU - Iliev, Anton
TI - On the Critical Points of Kyurkchiev’s Method for Solving Algebraic Equations
JO - Serdica Journal of Computing
PY - 2015
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 9
IS - 1
SP - 27
EP - 34
AB - 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.
LA - eng
KW - Polynomial Roots; Kyurkchiev’s Method; Divergent Sets
UR - http://eudml.org/doc/281406
ER -
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