Geodesic
The modified method of refined bounds for polyhedral approximation of convex polytopes
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 6, pp. 990-998

Voir la notice de l'article provenant de la source Math-Net.Ru

The modified method of refined bounds is proposed and experimentally studied. This method is designed to iteratively approximate convex multidimensional polytopes with a large number of vertices. Approximation is realized by a sequence of convex polytopes with a relatively small but gradually increasing number of vertices. The results of an experimental comparison between the modified and the original methods of refined bounds are presented. The latter was designed for the polyhedral approximation of multidimensional convex compact bodies of general type. 
@article{ZVMMF_2008_48_6_a4,
     author = {A. V. Lotov and A. I. Pospelov},
     title = {The modified method of refined bounds for polyhedral approximation of convex polytopes},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {990--998},
     publisher = {mathdoc},
     volume = {48},
     number = {6},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_6_a4/}
}
TY  - JOUR
AU  - A. V. Lotov
AU  - A. I. Pospelov
TI  - The modified method of refined bounds for polyhedral approximation of convex polytopes
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2008
SP  - 990
EP  - 998
VL  - 48
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_6_a4/
LA  - ru
ID  - ZVMMF_2008_48_6_a4
ER  - 
%0 Journal Article
%A A. V. Lotov
%A A. I. Pospelov
%T The modified method of refined bounds for polyhedral approximation of convex polytopes
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2008
%P 990-998
%V 48
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_6_a4/
%G ru
%F ZVMMF_2008_48_6_a4
A. V. Lotov; A. I. Pospelov. The modified method of refined bounds for polyhedral approximation of convex polytopes. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 6, pp. 990-998. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_6_a4/