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