TY - JOUR
ID - 103631
TI - On modified decomposition of interval matrices and its application
JO - Computational Mathematics and Computer Modeling with Applications (CMCMA)
JA - CMCMA
LA - en
SN -
AU - Dehghani-Madiseh, Marzieh
AD - Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran
Y1 - 2022
PY - 2022
VL - 1
IS - 2
SP - 122
EP - 128
KW - Decomposition of matrices
KW - Interval linear systems
DO - 10.52547/CMCMA.1.2.122
N2 - In this paper we present the LU decomposition of a generalized interval matrix ${\bf{A}}$ under a modified interval arithmetic. This modified interval arithmetic is defined on generalized intervals and possesses group properties with respect to the addition and multiplication operations. These properties cause that the two computed generalized interval matrices ${\bf{L}}$ and ${\bf{U}}$ from the LU decomposition satisfy ${\bf{A}}={\bf{L}}{\bf{U}}$, with equality in modified interval arithmetic instead of the weaker inclusion in the classical interval arithmetic. Some applications of the new technique for solving interval linear systems are given and effectiveness of the new approach is investigated along some numerical tests.
UR - https://cmcma.sbu.ac.ir/article_103631.html
L1 - https://cmcma.sbu.ac.ir/article_103631_02e997c49a38be87dd0c5baaf35f119e.pdf
ER -