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Representations for the Drazin inverse of the sum and its applications

✍ Scribed by Jianbiao Chen; Zhaoliang Xu; Yimin Wei


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
185 KB
Volume
430
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES


The Drazin inverses of sum and differenc
✍ Chun Yuan Deng πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 132 KB

In this note, the Drazin inverses of sum and difference of idempotents on a Hilbert space are established under some conditions.

The representation of generalized invers
✍ Hu Yang; Deqiang Liu πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 418 KB

This paper presents the explicit expression for matrix right symmetry factor with prescribed rang and null space. Moreover, the explicit expression for generalized inverse A (2,3) T ,S , which is a {2,3}-inverse of A having the prescribed rang T and null space S, is derived. As an application, two

Additive results for the Drazin inverse
✍ 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