Core-EP inverse

K. Manjunatha Prasad, K. S. Mohana

Research output: Contribution to journalArticle

40 Citations (Scopus)

Abstract

In this work, we introduce a notion of 'core-EP inverse' for a square matrix which is not essentially of index one. This extends the notion of 'core inverse', which was initially defined for the matrices of index one. The properties of matrices having 'core-EP inverse' and 'core-EP generalized inverse' are studied, and obtained a formula to compute the core-EP generalized inverse from a particular linear combination of minors of given matrix.

Original languageEnglish
Pages (from-to)792-802
Number of pages11
JournalLinear and Multilinear Algebra
Volume62
Issue number6
DOIs
Publication statusPublished - 2014

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Generalized Inverse
Square matrix
Linear Combination
Minor

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

Manjunatha Prasad, K. ; Mohana, K. S. / Core-EP inverse. In: Linear and Multilinear Algebra. 2014 ; Vol. 62, No. 6. pp. 792-802.
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Core-EP inverse. / Manjunatha Prasad, K.; Mohana, K. S.

In: Linear and Multilinear Algebra, Vol. 62, No. 6, 2014, p. 792-802.

Research output: Contribution to journalArticle

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