A Finite Method for Computing the Drazin and Core-EP Inverses of Matrices Based on Partial Full-Rank Factorization
Year: 2021
Author: Xuzhou Chen, Jun Ji
Communications in Mathematical Research , Vol. 37 (2021), Iss. 4 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmr.2021-0008
Communications in Mathematical Research , Vol. 37 (2021), Iss. 4 : pp. 448–461
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Core-EP inverse Drazin inverse finite method full-rank factorization partial full-rank factorization.
Author Details
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Alternative algebraic perturbation expressions for the core-EP inverse of a matrix
Ji, Jun
Computational and Applied Mathematics, Vol. 43 (2024), Iss. 6
https://doi.org/10.1007/s40314-024-02841-0 [Citations: 0]