MMN-4339
1D inverse and D1 inverse of square matrices
Jajati Keshari Sahoo; Gayatri Maharana; Bibekananda Sitha; Nestor Thome;Abstract
In this paper we introduce two new classes of inverses for square matrices, which are called
1Drazin (in short, 1D) inverse and Drazin1 (in short, D1) inverse. Next, we investigated the existence and uniqueness of 1D inverse and its dual D1 inverse. Some representation and characterizations of these inverses are derived. In addition to this, we obtain some properties of 1D and D1 inverses
through idempotent and binary relations.
Vol. 25 (2024), No. 1, pp. 445-463