Kaczmarz Method for Fuzzy Linear Systems

被引：0
|
作者：
L. Bian
S. Zhang
S. Wang
K. Wang
机构：
[1] Department of Mathematics,
[2] Shanghai University,undefined
[3] Nanyang Vocational College of Agriculture,undefined
来源：
Russian Mathematics | 2021年 / 65卷
关键词：
fuzzy linear system; Kaczmarz method; iterative scheme;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A Kaczmarz method is presented for solving a class of fuzzy linear systems of equations with crisp coefficient matrix and fuzzy right-hand side. The iterative scheme is established and the convergence theorem is provided. Numerical examples show that the method is effective.
引用
收藏
页码：20 / 26
页数：6
相关论文
共 50 条
  • [1] Kaczmarz Method for Fuzzy Linear Systems
    Bian, L.
    Zhang, S.
    Wang, S.
    Wang, K.
    RUSSIAN MATHEMATICS, 2021, 65 (12) : 20 - 26
  • [2] A WEIGHTED RANDOMIZED KACZMARZ METHOD FOR SOLVING LINEAR SYSTEMS
    Steinerberger, Stefan
    MATHEMATICS OF COMPUTATION, 2021, 90 (332) : 2815 - 2826
  • [3] ON THE ACCELERATION OF KACZMARZ METHOD FOR INCONSISTENT LINEAR-SYSTEMS
    HANKE, M
    NIETHAMMER, W
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1990, 130 : 83 - 98
  • [4] Convergence rates of the Kaczmarz-Tanabe method for linear systems
    Kang, Chuan-gang
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2021, 394 (394)
  • [5] Greedy Randomized Kaczmarz Method for Solving Noisy Linear Systems
    Wu W.
    Wu, Wenting (wuwenting@bit.edu.cn), 1600, Science Press (49): : 1466 - 1472
  • [6] A weighted randomized sparse Kaczmarz method for solving linear systems
    Zhang, Lu
    Yuan, Ziyang
    Wang, Hongxia
    Zhang, Hui
    COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 41 (08):
  • [7] Randomized Kaczmarz method with adaptive stepsizes for inconsistent linear systems
    Zeng, Yun
    Han, Deren
    Su, Yansheng
    Xie, Jiaxin
    NUMERICAL ALGORITHMS, 2023, 94 (03) : 1403 - 1420
  • [8] On greedy randomized block Kaczmarz method for consistent linear systems
    Liu, Yong
    Gu, Chuan-Qing
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 616 : 178 - 200
  • [9] A weighted randomized sparse Kaczmarz method for solving linear systems
    Lu Zhang
    Ziyang Yuan
    Hongxia Wang
    Hui Zhang
    Computational and Applied Mathematics, 2022, 41
  • [10] Randomized Kaczmarz method with adaptive stepsizes for inconsistent linear systems
    Yun Zeng
    Deren Han
    Yansheng Su
    Jiaxin Xie
    Numerical Algorithms, 2023, 94 : 1403 - 1420
12345