Adapting the Newton-Raphson method to additional inequalities for the variables

Petr Liebl

Aplikace matematiky (1967)

  • Volume: 12, Issue: 6, page 419-424
  • ISSN: 0862-7940

Abstract

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In the paper there the effect of a substitution x i = h i ( z 1 , ... , z n ) , i = 1 , ... , n on the solution of a system of nonlinear equations f i ( x 1 , ... , x n ) = 0 , i = 1 , ... , n by the Newton-Raphson method is investigated. Formulas are derived which make possible the numerical calculation without actually performing the substitution. It is shown, that it is possible to derive formulas which keep the variables x i within certain bounds. All of them may be understood as the ordinary Newton-Raphson formula for the original system modified by a substitution.

How to cite

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Liebl, Petr. "Přizpůsobení Newtonovy metody k dodatečným nerovnostem pro neznámě." Aplikace matematiky 12.6 (1967): 419-424. <http://eudml.org/doc/14502>.

@article{Liebl1967,
author = {Liebl, Petr},
journal = {Aplikace matematiky},
keywords = {numerical analysis},
language = {cze},
number = {6},
pages = {419-424},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Přizpůsobení Newtonovy metody k dodatečným nerovnostem pro neznámě},
url = {http://eudml.org/doc/14502},
volume = {12},
year = {1967},
}

TY - JOUR
AU - Liebl, Petr
TI - Přizpůsobení Newtonovy metody k dodatečným nerovnostem pro neznámě
JO - Aplikace matematiky
PY - 1967
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 12
IS - 6
SP - 419
EP - 424
LA - cze
KW - numerical analysis
UR - http://eudml.org/doc/14502
ER -

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