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New additive results for the generalized Drazin inverse

✍ Scribed by Chun-yuan Deng; Yi-min Wei

Book ID
108178710
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
173 KB
Volume
370
Category
Article
ISSN
0022-247X

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📜 SIMILAR VOLUMES

Additive results for the Wg–Drazin inver
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✍ Dijana Mosić; Dragan S. Djordjević 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 182 KB

In this paper we prove the formula for the expression (A + B) d,W in terms of A, B, W , A d,W , B d,W , assuming some conditions for A, B and W . Here S d,W denotes the generalized W -weighted Drazin inverse of a linear bounded operator S on a Banach space.

Additive results for the Drazin inverse
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✍ Jelena Ljubisavljević; Dragana S. Cvetković-Ilić 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 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