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Additive results for the Wg–Drazin inverse

✍ Scribed by Dijana Mosić; Dragan S. Djordjević

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
182 KB
Volume
432
Category
Article
ISSN
0024-3795

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✦ Synopsis

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.

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Additive results for the Drazin inverse
Additive results for the Drazin inverse of block matrices and applications
✍ 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