On a new generalized inverse for matrices of an arbitrary index

نویسندگان

  • Saroj B. Malik
  • Néstor Thome
چکیده

The purpose of this paper is to introduce a new generalized inverse, called DMP inverse, associated with a square complex matrix using its Drazin and Moore-Penrose inverses. DMP inverse extends the notion of core inverse, introduced by O.M. Baksalary and G. Trenkler for matrices of index at most 1 in [Core inverse of matrices, Linear and Multilinear Algebra, 2010, 681–697] to matrices of an arbitrary index. DMP inverses are analyzed from both algebraic as well as geometrical approaches establishing the equivalence between them. AMS Classification: 15A09; 15A24

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عنوان ژورنال:
  • Applied Mathematics and Computation

دوره 226  شماره 

صفحات  -

تاریخ انتشار 2014