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态射和的Drazin逆
  • ISSN号：1003-3998
  • 期刊名称：《数学物理学报：A辑》
  • 时间：0
  • 分类：O153.3[理学—数学;理学—基础数学]
  • 作者机构：[1]东南大学数学系,南京210096, [2]江南大学理学院,无锡214122
  • 相关基金：国家自然科学基金（10571026,10871051）,高校博士点基金（20060286006,200802860024）.
作者： 陈建龙[1], 庄桂芬[1], 魏益民[2]
中文摘要：

<正>1引言设Cn×n为n×n复矩阵的集合,对A∈Cn×n,满足rank(Ak+1)=rank（Ak）的最小非负整数k称为A的指标,记为Ind（A）=k,则存在唯一矩阵AD∈Cn×n,满足下列矩阵方程组[1]:

英文摘要：

In this paper we study the Drazin inverse of a sum of complex matrices A, B. We express （A＋B）D as a function of A, B, AD and BD under the assumptions ABD = O, Bπ BAD = O, Bπ Aπ AB = Bπ AπBA and get some corollaries.

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期刊信息
  • 《数学物理学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院武汉物理与数学研究所
  • 主编：李邦河 陈贵强 朱熹平
  • 地址：湖北省武汉市武昌小洪山西路30号武汉71010信箱
  • 邮编：430071
  • 邮箱：actams@wipm.ac.cn
  • 电话：027-87199206
  • 国际标准刊号：ISSN：1003-3998
  • 国内统一刊号：ISSN：42-1226/O
  • 邮发代号:38-214
  • 获奖情况:
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  • 被引量:5382