### 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 language | English |
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Pages (from-to) | 792-802 |

Number of pages | 11 |

Journal | Linear and Multilinear Algebra |

Volume | 62 |

Issue number | 6 |

DOIs | |

Publication status | Published - 2014 |

### All Science Journal Classification (ASJC) codes

- Algebra and Number Theory

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## Cite this

Manjunatha Prasad, K., & Mohana, K. S. (2014). Core-EP inverse.

*Linear and Multilinear Algebra*,*62*(6), 792-802. https://doi.org/10.1080/03081087.2013.791690