Construction of a Determinantal Formula and Some Characterizations of Minkowski Inverse.

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Title: Construction of a Determinantal Formula and Some Characterizations of Minkowski Inverse.
Authors: Mudigoudar, Neelaganga U.1 neelaganga.mitmpl2024@learner.manipal.edu, Bhat, K. Arathi2 arathi.bhat@manipal.edu, Hanif, Shahistha2 shahistha.hanif@manipal.edu, Purushothama, Divya Shenoy1 divya.shenoy@manipal.edu
Source: Engineering Letters. Jun2026, Vol. 34 Issue 6, p2236-2241. 6p.
Subjects: Matrix inversion, Existence theorems, Mathematical formulas, Linear algebra, Matrices (Mathematics)
Abstract: In this article, we present several characterizations of the Minkowski inverse. It is observed that, unlike the Moore-Penrose inverse, the existence of the Minkowski inverse is not always guaranteed. We derive several necessary and sufficient conditions for the existence of the Minkowski inverse. In addition, a determinantal formula for the Minkowski inverse is obtained. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:In this article, we present several characterizations of the Minkowski inverse. It is observed that, unlike the Moore-Penrose inverse, the existence of the Minkowski inverse is not always guaranteed. We derive several necessary and sufficient conditions for the existence of the Minkowski inverse. In addition, a determinantal formula for the Minkowski inverse is obtained. [ABSTRACT FROM AUTHOR]
ISSN:1816093X