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A note on computational formulas for the Drazin inverse of certain block matrices

✍ Scribed by Changjiang Bu; Chengcheng Feng; Pengfei Dong

Book ID
107620137
Publisher
Springer-Verlag
Year
2011
Tongue
English
Weight
376 KB
Volume
38
Category
Article
ISSN
1598-5865

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πŸ“œ SIMILAR VOLUMES

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A note on the representations for the Drazin inverse of 2 Γ— 2 block matrices
✍ Xiezhang Li; Yimin Wei πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 126 KB

In 1979, Campbell and Meyer proposed the problem of finding a formula for the Drazin inverse of a 2 Γ— 2 matrix M = A B C D in terms of its various blocks, where the blocks A and D are required to be square matrices. Special cases of the problems have been studied. In particular, a representation of

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✍ Jelena LjubisavljeviΔ‡; Dragana S. CvetkoviΔ‡-IliΔ‡ πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 222 KB

In this paper, we consider the Drazin inverse of a sum of two matrices and derive additive formulas under conditions weaker than those used in some recent papers on the subject. As a corollary we get the main results from the paper of Yang and Liu [H. Yang, X. Liu, The Drazin inverse of the sum of t