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1D inverse and D1 inverse of square matrices

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Tartalom: https://real.mtak.hu/196477/
Archívum: REAL
Gyűjtemény: Subject = Q Science / természettudomány: QA Mathematics / matematika
Type = Article
Cím:
1D inverse and D1 inverse of square matrices
Létrehozó:
Sahoo, Jajati Keshari
Maharana, Gayatri
Sitha, Bibekananda
Thome, Nestor
Kiadó:
University of Miskolc, Hungary
Dátum:
2024
Téma:
QA Mathematics / matematika
Tartalmi leírás:
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.
Nyelv:
angol
Típus:
Article
PeerReviewed
Formátum:
text
Azonosító:
Sahoo, Jajati Keshari and Maharana, Gayatri and Sitha, Bibekananda and Thome, Nestor (2024) 1D inverse and D1 inverse of square matrices. Miskolc Mathematical Notes, 25 (1). pp. 445-463. ISSN 1787-2413
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