Search of generalized solutions to improper linear and convex programming problems using barrier functions
The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 2, pp. 134-146
Voir la notice de l'article provenant de la source Math-Net.Ru
We propose to seek generalized solutions to improper linear and convex mathematical programs of 1-th kind by means a special combination of both inner and external penalty functions. The algorithm schemas and convergence theorems are presented.
Keywords:
improper mathematical programming problems, optimal correction methods, penalty functions, central path.
@article{IIGUM_2011_4_2_a10,
author = {L. D. Popov},
title = {Search of generalized solutions to improper linear and convex programming problems using barrier functions},
journal = {The Bulletin of Irkutsk State University. Series Mathematics},
pages = {134--146},
publisher = {mathdoc},
volume = {4},
number = {2},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IIGUM_2011_4_2_a10/}
}
TY - JOUR AU - L. D. Popov TI - Search of generalized solutions to improper linear and convex programming problems using barrier functions JO - The Bulletin of Irkutsk State University. Series Mathematics PY - 2011 SP - 134 EP - 146 VL - 4 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IIGUM_2011_4_2_a10/ LA - ru ID - IIGUM_2011_4_2_a10 ER -
%0 Journal Article %A L. D. Popov %T Search of generalized solutions to improper linear and convex programming problems using barrier functions %J The Bulletin of Irkutsk State University. Series Mathematics %D 2011 %P 134-146 %V 4 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/IIGUM_2011_4_2_a10/ %G ru %F IIGUM_2011_4_2_a10
L. D. Popov. Search of generalized solutions to improper linear and convex programming problems using barrier functions. The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 2, pp. 134-146. http://geodesic.mathdoc.fr/item/IIGUM_2011_4_2_a10/