Dual method for solving a special problem of quadratic programming as a subproblem at nonlinear minimax approximation
Applications of Mathematics, Tome 31 (1986) no. 5, pp. 379-395
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
The paper describes the dual method for solving a special problem of quadratic programming as a subproblem at nonlinear minimax approximation. Two cases are analyzed in detail, differring in linear dependence of gradients of the active functions. The complete algorithm of the dual method is presented and its finite step convergence is proved.
DOI :
10.21136/AM.1986.104215
Classification :
65K05, 90C20
Keywords: nonlinear minimax approximation; method of recursive quadratic programming; dual method; convergence; algorithm
Keywords: nonlinear minimax approximation; method of recursive quadratic programming; dual method; convergence; algorithm
@article{10_21136_AM_1986_104215,
author = {Luk\v{s}an, Ladislav},
title = {Dual method for solving a special problem of quadratic programming as a subproblem at nonlinear minimax approximation},
journal = {Applications of Mathematics},
pages = {379--395},
publisher = {mathdoc},
volume = {31},
number = {5},
year = {1986},
doi = {10.21136/AM.1986.104215},
mrnumber = {0863033},
zbl = {0621.65061},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1986.104215/}
}
TY - JOUR AU - Lukšan, Ladislav TI - Dual method for solving a special problem of quadratic programming as a subproblem at nonlinear minimax approximation JO - Applications of Mathematics PY - 1986 SP - 379 EP - 395 VL - 31 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1986.104215/ DO - 10.21136/AM.1986.104215 LA - en ID - 10_21136_AM_1986_104215 ER -
%0 Journal Article %A Lukšan, Ladislav %T Dual method for solving a special problem of quadratic programming as a subproblem at nonlinear minimax approximation %J Applications of Mathematics %D 1986 %P 379-395 %V 31 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/AM.1986.104215/ %R 10.21136/AM.1986.104215 %G en %F 10_21136_AM_1986_104215
Lukšan, Ladislav. Dual method for solving a special problem of quadratic programming as a subproblem at nonlinear minimax approximation. Applications of Mathematics, Tome 31 (1986) no. 5, pp. 379-395. doi: 10.21136/AM.1986.104215
Cité par Sources :