A new approach to the numerical solution of non-linear equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 11, pp. 1638-1645
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The approach is based on the projection of surfaces on to coordinate axes. The proposed algorithm takes account of the special properties of the functions occurring in the non-linear equations. These properties are convexity, separability, and monotonicity with respect to groups of variables or individual variables.
@article{ZVMMF_1990_30_11_a3,
author = {N. S. Vasil'ev},
title = {A~new approach to the numerical solution of non-linear equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1638--1645},
publisher = {mathdoc},
volume = {30},
number = {11},
year = {1990},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_11_a3/}
}
TY - JOUR AU - N. S. Vasil'ev TI - A new approach to the numerical solution of non-linear equations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1990 SP - 1638 EP - 1645 VL - 30 IS - 11 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_11_a3/ LA - ru ID - ZVMMF_1990_30_11_a3 ER -
N. S. Vasil'ev. A new approach to the numerical solution of non-linear equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 11, pp. 1638-1645. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_11_a3/