广西师范大学学报（自然科学版） ›› 2011, Vol. 29 ›› Issue (1): 24-28.

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矩阵乘积核心逆在0点特征投影的刻画

涂登平, 刘晓冀   

  1. 广西民族大学数学与计算机科学学院,广西南宁530006)
  • 收稿日期:2010-10-20 发布日期:2018-11-16
  • 通讯作者: 刘晓冀(1972—),男,江西萍乡人,广西民族大学教授,博士。E-mail: xiaojiliu72@yahoo.com.cn
  • 基金资助:
    国家自然科学基金资助项目(11061005)

Eigenprojection of Core Inverse of Matrix MultiplicationCorresponding to Point 0

TU Deng-ping, LIU Xiao-ji   

  1. College of Mathematics and Computer Science,Guangxi Universityfor Nationalities,Nanning Guangxi 530006,China
  • Received:2010-10-20 Published:2018-11-16

摘要： 本文旨在讨论矩阵乘积核心逆在0点特征投影的一些性质,研究具有相同核心逆特征投影的两矩阵之间的关系,给出相同核心逆特征投影条件下核心逆的扰动界。

关键词: 核心逆, 特征投影, 扰动

Abstract: The aim of this paper is to disscuse some characteristics of the core inverse of matrix multiplication corressponding to point 0eigenprojection.It studies the relationship between two matrixes with the samecharacteristic eigenprojection of core inverse and gives the pertubation of the core inverse in the case of same eigenprojection.

Key words: core inverse, eigenprojection, pertubation

中图分类号: 

  • O241.7
[1] 杜鸿科,张希花,郑艳萍,等.Drazin可逆算子在0点特征投影的刻画[J].陕西师范大学学报:自然科学版,2006,12:21-24.
[2] BAKSALARY O M,TRENKLER G.Core inverse of matrices[J].Linear and Multilinear Algebra,2010,58(6):681-697.
[3] KOLIHA J J,STRASKRABA I.Power bounded and exponentially bounded matrices[J].Applications of Mathematics,1999,44(4):289-308.
[4] CASTRO-GONZALEZ N,KOLIHA J J,WEI Yi-min.Perturbation of the Drazininverse for matrices with equal eigen-projections at zero[J].Linear Algebraand its Applications,2000,312(1/3):181-189.
[5] MARSAGLIA G,STYAN G P H.Equalities and inequalities for ranks ofmatrices[J].Linear and Multilinear Algebra,1974,2(3):269-292.
[6] WEI Yi-min.A characterization and representation of the generalizedinverse A(2)T,S and its applications[J].Linear Algebra and Its Applications,1998,280(2/3):87-96.
[7] 陈永林.｛2｝-广义逆的一种表示及其应用[J].应用数学学报,1992,15(2):145-150.
[8] JOSHI V N.Remarks on iterative methods for computing the generalized inverse[J].Studia Sci Math Hungar,1973,8:457-461.
[9] DU Hong-ke,DENG Chun-yuan.The representation and characterization of Drazin inverse of operators on a Hilbert space[J].Linear Algebra and its Applications,2005,407:117-124.
[10] WEI Yi-min,QIAO San-zheng.The representation and approximation of the Drazin inverse of a linear operator in Hilbert space[J].Applied Math Comput,2003,138(1):77-89.
[11] 魏益民.Banach空间中Drazin逆的表示与扰动[J].数学年刊,2000,21:39-46.
[12] 王宏兴,刘晓冀.整环上矩阵的加权广义逆[J].四川师范大学学报:自然科学版,2009,32(6):734-737.
[13] HARTING R E,SPINDELBOCK K.Matrices for which A< and A+commute[J].Linear and Multilinear Algebra,1983,14(3):241-256.
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