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：
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2014年 / 8卷 / 03期
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
  • [21] Interval design point method for calculating the reliability of structural systems
    Ni Zao
    Qiu ZhiPing
    SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY, 2013, 56 (11) : 2151 - 2161
  • [22] GENERALIZED INTERVAL AOR METHOD FOR SOLVING INTERVAL LINEAR EQUATIONS
    Chakravarty, Jahnabi
    Saha, Manideepa
    MATHEMATICAL FOUNDATIONS OF COMPUTING, 2025, 8 (01): : 16 - 35
  • [23] The Stability Interval of the Set of Linear System
    Mazakov, Talgat
    Wojcik, Waldemar
    Jomartova, Sholpan
    Karymsakova, Nurgul
    Ziyatbekova, Gulzat
    Tursynbai, Aisulu
    INTERNATIONAL JOURNAL OF ELECTRONICS AND TELECOMMUNICATIONS, 2021, 67 (02) : 155 - 161
  • [24] Interval Estimation for Linear Switched System
    Rabehi, Djahid
    Efimov, Denis
    Richard, Jean-Pierre
    IFAC PAPERSONLINE, 2017, 50 (01): : 6265 - 6270
  • [25] The controllability of an interval linear discrete system
    L. T. Ashchepkov
    Journal of Computer and Systems Sciences International, 2007, 46 : 399 - 406
  • [26] The controllability of an interval linear discrete system
    Ashchepkov, L. T.
    JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL, 2007, 46 (03) : 399 - 406
  • [27] CALCULATING INTERVAL FORECASTS
    CHATFIELD, C
    JOURNAL OF BUSINESS & ECONOMIC STATISTICS, 1993, 11 (02) : 121 - 135
  • [28] Reduction of Interval Equations for Interval System of Linear Algebraic Equations
    Dyvak, Mykola
    Natalya, Kasatkina
    Oliynyk, Iryna
    2016 13TH INTERNATIONAL CONFERENCE ON MODERN PROBLEMS OF RADIO ENGINEERING, TELECOMMUNICATIONS AND COMPUTER SCIENCE (TCSET), 2016, : 128 - 131
  • [29] A METHOD FOR CALCULATING HTG SYSTEM ACCURACY
    ADAMS, D
    ADVANCES IN INSTRUMENTATION AND CONTROL, VOL 44, PT 1-4, 1989, 44 : 1475 - 1491
  • [30] Model conversions of uncertain linear system via the interval tuning bilinear approximation method
    Shieh, CS
    ShengHong, J
    Sun, YY
    PROCEEDINGS OF THE 1997 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1997, : 3826 - 3830
12345