Two minimax-type methods for solving systems of nonlinear equations
Aplikace matematiky (1969)
- Volume: 14, Issue: 1, page 29-53
- ISSN: 0862-7940
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topHrouda, Jaroslav. "Two minimax-type methods for solving systems of nonlinear equations." Aplikace matematiky 14.1 (1969): 29-53. <http://eudml.org/doc/14576>.
@article{Hrouda1969,
abstract = {The system of equations $h_i(x)=0\ (i=1,\ldots ,r;\ x\in E_n)$ is solved by means of iterative methods of minimization of the functions A) $max_i\ h_i(x)$ under the conditions $h_i(x)\ge 0$, B) $max_i\ \left|h_i(x)\right|$. These methods are derived from the Zoutendijk’s method of feasible directions. A good deal of attention is paid to their numerical aspects.},
author = {Hrouda, Jaroslav},
journal = {Aplikace matematiky},
keywords = {operations research},
language = {eng},
number = {1},
pages = {29-53},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Two minimax-type methods for solving systems of nonlinear equations},
url = {http://eudml.org/doc/14576},
volume = {14},
year = {1969},
}
TY - JOUR
AU - Hrouda, Jaroslav
TI - Two minimax-type methods for solving systems of nonlinear equations
JO - Aplikace matematiky
PY - 1969
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 14
IS - 1
SP - 29
EP - 53
AB - The system of equations $h_i(x)=0\ (i=1,\ldots ,r;\ x\in E_n)$ is solved by means of iterative methods of minimization of the functions A) $max_i\ h_i(x)$ under the conditions $h_i(x)\ge 0$, B) $max_i\ \left|h_i(x)\right|$. These methods are derived from the Zoutendijk’s method of feasible directions. A good deal of attention is paid to their numerical aspects.
LA - eng
KW - operations research
UR - http://eudml.org/doc/14576
ER -
References
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- Goldstein A. A., 10.1007/BF01386306, Numer. Math. 4 (1962), No 2, 146- 150. (1962) Zbl0105.10201MR0141222DOI10.1007/BF01386306
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