A new Type of Matrix Splitting and its Applications

被引:0
|
作者
D.S. Djordjević
P. S. Stanimirovic
机构
[1] University of Niš,Faculty of Sciences and Mathematics, Department of Mathematics
来源
关键词
Linear System; Iterative Method; Condition Number; Norm Estimate; Generalize Inverse;
D O I
暂无
中图分类号
学科分类号
摘要
A possible type of the matrix splitting is introduced. Using this matrix splitting, we introduce a few properties and representations of generalized inverses as well as iterative methods for computing various solutions of singu- lar linear systems. This matrix splitting is a generalization of the known index splitting from [13] and a proper splitting from [4]. Using a generalization of the condition number and introduced representations of generalized inverses, we ob- tain several norm estimates.
引用
收藏
页码:121 / 135
页数:14
相关论文
共 50 条
  • [11] New type of atomic force microscope and its applications
    Zhang, Dongxian
    Zhang, Haijun
    Li, Bo
    Huang, Feng
    Guangzi Xuebao/Acta Photonica Sinica, 2002, 31 (01):
  • [12] A new type of Sylvester-Kac matrix and its spectrum
    da Fonseca, Carlos M.
    Kilic, Emrah
    LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (06): : 1072 - 1082
  • [13] The solution of a type of absolute value equations using two new matrix splitting iterative techniques
    Ali, Rashid
    Pan, Kejia
    PORTUGALIAE MATHEMATICA, 2022, 79 (3-4) : 241 - 252
  • [14] A matrix decomposition and its applications
    Zhang, Fuzhen
    LINEAR & MULTILINEAR ALGEBRA, 2015, 63 (10): : 2033 - 2042
  • [15] A matrix identity and its applications
    Liao, Jun
    Liu, Heguo
    Shao, Minfeng
    Xu, Xingzhong
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 471 : 346 - 352
  • [16] A splitting theorem for local cohomology and its applications
    Nguyen Tu Cuong
    Pham Hung Quy
    JOURNAL OF ALGEBRA, 2011, 331 (01) : 512 - 522
  • [17] A New Type of Fractional Lie Symmetrical Method and its Applications
    Zhang, Xiao-Tian
    He, Jin-Man
    Luo, Shao-Kai
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2017, 56 (03) : 971 - 990
  • [18] ON A NEW DISCRETE HILBERT-TYPE INEQUALITY AND ITS APPLICATIONS
    You, Minghui
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (04): : 1575 - 1587
  • [19] A New Type of Fractional Lie Symmetrical Method and its Applications
    Xiao–Tian Zhang
    Jin–Man He
    Shao–Kai Luo
    International Journal of Theoretical Physics, 2017, 56 : 971 - 990
  • [20] A new generalization of Halanay-type inequality and its applications
    Haiyang Wen
    Shi Shu
    Liping Wen
    Journal of Inequalities and Applications, 2018