This paper carries further the study of core partial order initiated by Baksalary and Trenkler [Core inverse of matrices, Linear Multilinear Algebra. 2010;58:681-697]. We have extensively studied the core partial order, ...
[EN] 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 ...
Malik, Saroj B.; Thome, Néstor(National Library of Serbia, 2017)
[EN] For two given Hilbert spaces H and K and a given bounded linear operator A is an element of L(H, K) having closed range, it is well known that the Moore-Penrose inverse of A is a reflexive g-inverse G is an element ...
The well-known classes of EP matrices and normal matrices are de-
fined by the matrices that commute with their Moore-Penrose inverse
and with their conjugate transpose, respectively. This paper investigates
the class ...