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

Saved in:
Bibliographic Details
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]
Copyright of Engineering Letters is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Links:
  – Type: pdflink
Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 194195704
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Construction of a Determinantal Formula and Some Characterizations of Minkowski Inverse.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Mudigoudar%2C+Neelaganga+U%2E%22">Mudigoudar, Neelaganga U.</searchLink><relatesTo>1</relatesTo><i> neelaganga.mitmpl2024@learner.manipal.edu</i><br /><searchLink fieldCode="AR" term="%22Bhat%2C+K%2E+Arathi%22">Bhat, K. Arathi</searchLink><relatesTo>2</relatesTo><i> arathi.bhat@manipal.edu</i><br /><searchLink fieldCode="AR" term="%22Hanif%2C+Shahistha%22">Hanif, Shahistha</searchLink><relatesTo>2</relatesTo><i> shahistha.hanif@manipal.edu</i><br /><searchLink fieldCode="AR" term="%22Purushothama%2C+Divya+Shenoy%22">Purushothama, Divya Shenoy</searchLink><relatesTo>1</relatesTo><i> divya.shenoy@manipal.edu</i>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Engineering+Letters%22">Engineering Letters</searchLink>. Jun2026, Vol. 34 Issue 6, p2236-2241. 6p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Matrix+inversion%22">Matrix inversion</searchLink><br /><searchLink fieldCode="DE" term="%22Existence+theorems%22">Existence theorems</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+formulas%22">Mathematical formulas</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+algebra%22">Linear algebra</searchLink><br /><searchLink fieldCode="DE" term="%22Matrices+%28Mathematics%29%22">Matrices (Mathematics)</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: 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]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Engineering Letters is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=194195704
RecordInfo BibRecord:
  BibEntity:
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 6
        StartPage: 2236
    Subjects:
      – SubjectFull: Matrix inversion
        Type: general
      – SubjectFull: Existence theorems
        Type: general
      – SubjectFull: Mathematical formulas
        Type: general
      – SubjectFull: Linear algebra
        Type: general
      – SubjectFull: Matrices (Mathematics)
        Type: general
    Titles:
      – TitleFull: Construction of a Determinantal Formula and Some Characterizations of Minkowski Inverse.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Mudigoudar, Neelaganga U.
      – PersonEntity:
          Name:
            NameFull: Bhat, K. Arathi
      – PersonEntity:
          Name:
            NameFull: Hanif, Shahistha
      – PersonEntity:
          Name:
            NameFull: Purushothama, Divya Shenoy
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 1816093X
          Numbering:
            – Type: volume
              Value: 34
            – Type: issue
              Value: 6
          Titles:
            – TitleFull: Engineering Letters
              Type: main
ResultId 1