A note on the convergence of nonstationary finite-difference analogues
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 2, pp. 204-211
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An efficient modification of a finite-difference analogue of Halley's method is proposed. An iterative procedure ensures that the approximations converge to the desired root of the nonlinear equation $f(x)=0$.
@article{ZVMMF_2005_45_2_a2,
author = {V. Hristov and A. I. Iliev and N. V. Kyurkchiev},
title = {A note on the convergence of nonstationary finite-difference analogues},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {204--211},
publisher = {mathdoc},
volume = {45},
number = {2},
year = {2005},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_2_a2/}
}
TY - JOUR AU - V. Hristov AU - A. I. Iliev AU - N. V. Kyurkchiev TI - A note on the convergence of nonstationary finite-difference analogues JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2005 SP - 204 EP - 211 VL - 45 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_2_a2/ LA - en ID - ZVMMF_2005_45_2_a2 ER -
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V. Hristov; A. I. Iliev; N. V. Kyurkchiev. A note on the convergence of nonstationary finite-difference analogues. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 2, pp. 204-211. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_2_a2/