On comparison between Apostolatos--Kulisch and Mayer--Warnke theorems in interval analysis
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 12 (2009) no. 3, pp. 351-359

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

This paper deals with comparing Apostolatos–Kulisch theorem and Mayer–Warnke theorem that form a basis of the so-called formal (aka algebraic) approach to the outer interval estimation of the solution sets for interval linear systems of equations. We show that despite a greater generality of Mayer–Warnke theorem, it extends the applicability scope of the formal approach to a very small extent, and a practical significance of such an extension is inessential.
@article{SJVM_2009_12_3_a9,
     author = {S. P. Shary},
     title = {On comparison between {Apostolatos--Kulisch} and {Mayer--Warnke} theorems in interval analysis},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {351--359},
     publisher = {mathdoc},
     volume = {12},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2009_12_3_a9/}
}
TY  - JOUR
AU  - S. P. Shary
TI  - On comparison between Apostolatos--Kulisch and Mayer--Warnke theorems in interval analysis
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 2009
SP  - 351
EP  - 359
VL  - 12
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJVM_2009_12_3_a9/
LA  - ru
ID  - SJVM_2009_12_3_a9
ER  - 
%0 Journal Article
%A S. P. Shary
%T On comparison between Apostolatos--Kulisch and Mayer--Warnke theorems in interval analysis
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 2009
%P 351-359
%V 12
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJVM_2009_12_3_a9/
%G ru
%F SJVM_2009_12_3_a9
S. P. Shary. On comparison between Apostolatos--Kulisch and Mayer--Warnke theorems in interval analysis. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 12 (2009) no. 3, pp. 351-359. http://geodesic.mathdoc.fr/item/SJVM_2009_12_3_a9/