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Volume 37, Issue 4
A Finite Method for Computing the Drazin and Core-EP Inverses of Matrices Based on Partial Full-Rank Factorization

Xuzhou Chen & Jun Ji

Commun. Math. Res., 37 (2021), pp. 448-461.

Published online: 2021-08

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  • 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.

  • AMS Subject Headings

15A09, 15A21, 15A23, 65F05

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COPYRIGHT: © Global Science Press

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@Article{CMR-37-448, author = {Chen , Xuzhou and Ji , Jun}, title = {A Finite Method for Computing the Drazin and Core-EP Inverses of Matrices Based on Partial Full-Rank Factorization}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {37}, number = {4}, pages = {448--461}, 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.

}, issn = {2707-8523}, doi = {https://doi.org/10.4208/cmr.2021-0008}, url = {http://global-sci.org/intro/article_detail/cmr/19438.html} }
TY - JOUR T1 - A Finite Method for Computing the Drazin and Core-EP Inverses of Matrices Based on Partial Full-Rank Factorization AU - Chen , Xuzhou AU - Ji , Jun JO - Communications in Mathematical Research VL - 4 SP - 448 EP - 461 PY - 2021 DA - 2021/08 SN - 37 DO - http://doi.org/10.4208/cmr.2021-0008 UR - https://global-sci.org/intro/article_detail/cmr/19438.html KW - Core-EP inverse, Drazin inverse, finite method, full-rank factorization, partial full-rank factorization. AB -

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.

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