Construction of a Determinantal Formula and Some Characterizations of Minkowski Inverse

Neelaganga U. Mudigoudar; Arathi A. Bhat; Shahistha Hanif; Divya Shenoy Purushothama

Construction of a Determinantal Formula and Some Characterizations of Minkowski Inverse

Neelaganga U. Mudigoudar
, Arathi A. Bhat
, Shahistha Hanif
, Divya Shenoy Purushothama^*

^*Corresponding author for this work

School of Basic Sciences, Humanities and Management

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	2236-2241
Number of pages	6
Journal	Engineering Letters
Volume	34
Issue number	6
Publication status	Published - 2026

All Science Journal Classification (ASJC) codes

General Engineering

Cite this

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title = "Construction of a Determinantal Formula and Some Characterizations of Minkowski Inverse",

abstract = "In this article, we present several characterizations of the Minkowski inverse. It is observed that, unlike the Moore{\textendash}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.",

author = "Mudigoudar, \{Neelaganga U.\} and Bhat, \{Arathi A.\} and Shahistha Hanif and Purushothama, \{Divya Shenoy\}",

year = "2026",

language = "English",

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journal = "Engineering Letters",

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T1 - Construction of a Determinantal Formula and Some Characterizations of Minkowski Inverse

AU - Mudigoudar, Neelaganga U.

AU - Bhat, Arathi A.

AU - Hanif, Shahistha

AU - Purushothama, Divya Shenoy

PY - 2026

Y1 - 2026

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/105040729983

UR - https://www.scopus.com/pages/publications/105040729983#tab=citedBy

M3 - Article

AN - SCOPUS:105040729983

SN - 1816-093X

VL - 34

SP - 2236

EP - 2241

JO - Engineering Letters

JF - Engineering Letters

IS - 6

ER -

Construction of a Determinantal Formula and Some Characterizations of Minkowski Inverse

Abstract

All Science Journal Classification (ASJC) codes

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