Abstract
In this article, we construct new explicit formulas for the Drazin inverse of \(P+Q\) under some conditions, where P and Q are singular square matrices over skew fields. These formulas generalize some recent results in literature. By using these formulas, we establish new results for the Drazin inverse of \(2\times 2\) block matrix under some assumptions over skew fields. Finally, illustrative numerical examples over skew fields are presented to demonstrate results of this paper.
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The authors would like to thank the Editor and the advisors/reviewers for their very detailed comments and valuable suggestions which greatly improved our article.
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Communicated by Abbas Salemi.
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Shakoor, A., Ali, I., Wali, S. et al. Some Formulas on the Drazin Inverse for the Sum of Two Matrices and Block Matrices. Bull. Iran. Math. Soc. 48, 351–366 (2022). https://doi.org/10.1007/s41980-020-00521-3
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DOI: https://doi.org/10.1007/s41980-020-00521-3