Explicit representations of the Drazin inverse of block matrix and modified matrix ?

نویسندگان

  • Dragana S. Cvetković-Ilić
  • Jianbiao Chen
  • Zhaoliang Xu
چکیده

A new result on the Drazin inverse of 2× 2 block matrix M = [ A B D C ] , where A and C are square matrices are presented, extended in the case when D = 0, the well known representation for the Drazin inverse of M , given by Hartwig, Meyer and Rose in 1977, respectively. Using that new result, an explicit representation for the Drazin inverse of a modified matrix P + RS and its generalized matrix PQ + RS are also presented.

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تاریخ انتشار 2007