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
  • [41] Random Matrix Theory and Its Applications
    Izenman, Alan Julian
    STATISTICAL SCIENCE, 2021, 36 (03) : 421 - 442
  • [42] The standardized influence matrix and its applications
    Lu, JD
    Ko, DJ
    Chang, T
    JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1997, 92 (440) : 1572 - 1580
  • [43] The numerical rank of a matrix and its applications
    Feng, Xinlong
    He, Yinnian
    Zhang, Zhinan
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 196 (01) : 416 - 421
  • [44] Study on a new type of analogue material for geotechnical tests and its applications
    Li, Yong
    Li, Xiaojing
    Zhu, Weishen
    Zhang, Qiangyong
    ADVANCES IN FRACTURE AND MATERIALS BEHAVIOR, PTS 1 AND 2, 2008, 33-37 : 693 - +
  • [45] Construction of a new family of Fubini-type polynomials and its applications
    Srivastava, H. M.
    Srivastava, Rekha
    Muhyi, Abdulghani
    Yasmin, Ghazala
    Islahi, Hibah
    Araci, Serkan
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [46] Construction of a new family of Fubini-type polynomials and its applications
    H. M. Srivastava
    Rekha Srivastava
    Abdulghani Muhyi
    Ghazala Yasmin
    Hibah Islahi
    Serkan Araci
    Advances in Difference Equations, 2021
  • [47] A new type of beam splitting polarizer cube
    Baur, T
    POLARIZATION SCIENCE AND REMOTE SENSING, 2003, 5158 : 135 - 141
  • [48] On a new class of splitting type iterative methods
    Ciegis, R
    FUTURE GENERATION COMPUTER SYSTEMS-THE INTERNATIONAL JOURNAL OF ESCIENCE, 2004, 20 (03): : 399 - 407
  • [49] The matrix golden mean and its applications to Riccati matrix equations
    Lim, Yongdo
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2007, 29 (01) : 54 - 66
  • [50] A new method of spectral decomposition of covariance matrix in mixed effects models and its applications
    Mixia Wu
    Songgui Wang
    Science in China Series A: Mathematics, 2005, 48 : 1451 - 1464