TY - JOUR
ID - 4058
TI - Inner and outer estimations of the generalized solution sets and an application in economic
JO - Journal of Mathematical Modeling
JA - JMM
LA - en
SN - 2345-394X
AU - Dehghani-Madiseh, Marzieh
AD - Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran
University of Ahvaz, Ahvaz, Iran
Y1 - 2020
PY - 2020
VL - 8
IS - 4
SP - 345
EP - 361
KW - Interval arithmetic
KW - Kaucher arithmetic
KW - Cholesky decomposition
DO - 10.22124/jmm.2020.16119.1409
N2 - Generalized intervals (intervals whose bounds are not constrained to be increasingly ordered) extend classical intervals and present algebraic completion of conventional interval arithmetic, allowing efficient solution for interval linear systems. In this paper, we use the Cholesky decomposition of a symmetric generalized interval matrix ${\bf{A}}$ introduced by Zhao et al. (A generalized Cholesky decomposition for interval matrix, Adv. Mat. Res. 479 (2012) 825--828), to construct the algebraic solution of the triangular interval linear system of equations. Also we utilize this decomposition to find inner and outer estimations of the generalized solution set of the symmetric interval linear systems. Finally some numerical experiments and an application in economic are given to show the efficiency of the presented technique.
UR - https://jmm.guilan.ac.ir/article_4058.html
L1 - https://jmm.guilan.ac.ir/article_4058_6f52e383583bbe79be4104c24973daa2.pdf
ER -