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2. 1D INVERSE AND D1 INVERSE OF SQUARE MATRICES.

Author

SAHOO, JAJATI KESHARI, MAHARANA, GAYATRI, SITHA, BIBEKANANDA, and THOME, NESTOR

Subjects
*RING theory, *INVERSE problems, *MATRICES (Mathematics), *NONLINEAR equations, *MATHEMATICAL formulas
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. [ABSTRACT FROM AUTHOR]

Published
2024
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