A Finite Method for Computing the Drazin and Core-EP Inverses of Matrices Based on Partial Full-Rank Factorization

Authors

  • Xuzhou Chen
  • Jun Ji

DOI:

https://doi.org/10.4208/cmr.2021-0008

Keywords:

Core-EP inverse, Drazin inverse, finite method, full-rank factorization, partial full-rank factorization.

Abstract

This paper presents a formula for the Drazin inverses of matrices based on a sequence of partial full-rank factorizations which theoretically extends the classic full-rank factorization method for computing the Drazin inverses established by R.E. Cline. The result is then extended to the core-EP inverses.

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Published

2022-12-02

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Issue

Vol. 37 No. 4 (2021)

Section

Articles

How to Cite

A Finite Method for Computing the Drazin and Core-EP Inverses of Matrices Based on Partial Full-Rank Factorization. (2022). Communications in Mathematical Research, 37(4), 448-461. https://doi.org/10.4208/cmr.2021-0008