On the Step Choice in Projection Algorithms for Large-Scale Linear Programming Problems
Dalʹnevostočnyj matematičeskij žurnal, Tome 12 (2012) no. 2, pp. 160-170
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In order to solve large-scale linear programming problems the group of algorithms with projection of a point onto the set is considered.
Special method for selecting the initial approximation and the step-size parameters is given to reduce computational time.
Comparative analysis of the rates of convergence and running time of the algorithm with various step parameters is done for the special
large-scale test problem with randomly generated data.
@article{DVMG_2012_12_2_a3,
author = {A. S. Velichko},
title = {On the {Step} {Choice} in {Projection} {Algorithms} for {Large-Scale} {Linear} {Programming} {Problems}},
journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
pages = {160--170},
publisher = {mathdoc},
volume = {12},
number = {2},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DVMG_2012_12_2_a3/}
}
TY - JOUR AU - A. S. Velichko TI - On the Step Choice in Projection Algorithms for Large-Scale Linear Programming Problems JO - Dalʹnevostočnyj matematičeskij žurnal PY - 2012 SP - 160 EP - 170 VL - 12 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DVMG_2012_12_2_a3/ LA - ru ID - DVMG_2012_12_2_a3 ER -
A. S. Velichko. On the Step Choice in Projection Algorithms for Large-Scale Linear Programming Problems. Dalʹnevostočnyj matematičeskij žurnal, Tome 12 (2012) no. 2, pp. 160-170. http://geodesic.mathdoc.fr/item/DVMG_2012_12_2_a3/