A method for calculating interval linear system

被引:11
|
作者
Abolmasoumi, Shohreh [1 ]
Alavi, Majid [1 ]
机构
[1] Islamic Azad Univ, Dept Math, Arak branch, Arak, India
来源
关键词
Interval number; Interval linear system; Interval matrix; Cramer's rule; Gradient vector; Multivariate function;
D O I
10.22436/jmcs.08.03.02
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we represent an efficient algorithm for finding the interval solution for the interval linear system. This algorithm applies the optimization problem based on gradient vector in order to obtain the lower bound and upper bound of the interval solution.
引用
收藏
页码:193 / 204
页数:12
相关论文
共 50 条
  • [1] An analytical method for calculating a coverage interval
    Fotowicz, P
    METROLOGIA, 2006, 43 (01) : 42 - 45
  • [2] A method for calculating interval inverse matrix
    Abolmasoumi, Shohreh
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2014, 10 (03): : 228 - 234
  • [3] Method for finding a solution to a linear nonstationary interval ODE system
    Fominyh, A., V
    VESTNIK SANKT-PETERBURGSKOGO UNIVERSITETA SERIYA 10 PRIKLADNAYA MATEMATIKA INFORMATIKA PROTSESSY UPRAVLENIYA, 2021, 17 (02): : 148 - 165
  • [4] Interval system for calculating tolerances in CAD systems
    Krischuk, V
    Shilo, G
    Gaponenko, N
    EXPERIENCE OF DESIGNING AND APPLICATION OF CAD SYSTEMS IN MICROELECTRONICS, 2001, : 204 - 206
  • [5] Practical application of an analytical method for calculating a coverage interval
    Fotowicz, Pawel
    MEASUREMENT SCIENCE AND TECHNOLOGY, 2010, 21 (08)
  • [6] Extrapolated triangular splitting method to interval system of linear algebraic equations
    Ebadi, Ghodrat
    Moradi, Behnam
    Shary, Sergey P.
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2023, 11 (04): : 738 - 752
  • [7] An iterative method for a system of linear complementarity problems with perturbations and interval data
    Ma, Hui-qiang
    Xu, Jiu-ping
    Huang, Nan-jing
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (01) : 175 - 184
  • [8] CALCULATING RESPONSE OF A NONSTATIONARY LINEAR SYSTEM
    MIKHAYLO.FA
    TERYAYEV, YD
    ENGINEERING CYBERNETICS, 1968, (02): : 151 - &
  • [9] An efficient method for calculating the frequency response of a proportional damping system over a given frequency interval
    Wu, Baisheng
    Zhao, Xuqi
    Li, Zhengguang
    Chen, Xin
    Zhong, Huixiang
    ENGINEERING STRUCTURES, 2020, 220
  • [10] CONVERGENCE OF INTERVAL AOR METHOD FOR LINEAR INTERVAL EQUATIONS
    Chakravarty, Jahnabi
    Athikho, Ashiho
    Saha, Manideepa
    NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2022, 12 (02): : 293 - 308