1D inverse and D1 inverse of square matrices

Jajati Keshari Sahoo; Gayatri Maharana; Bibekananda Sitha; Nestor Thome;


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

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