The Explicit Expression of the Drazin Inverse of Sums of Two Matrices and Its Application
نویسندگان
چکیده
In this paper, we give explicit expressions of (P ± Q)d of two matrices P and Q, in terms of P, Q, Pd and Qd, under the condition that PQ = P 2, and apply the result to finding an explicit representation for the Drazin inverse of a 2×2 block matrix [ A B C D ] under some conditions.
منابع مشابه
Generalized Drazin inverse of certain block matrices in Banach algebras
Several representations of the generalized Drazin inverse of an anti-triangular block matrix in Banach algebra are given in terms of the generalized Banachiewicz--Schur form.
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