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Additive perturbation results for the Drazin inverse

✍ Scribed by N. Castro González

Book ID
108198783
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
262 KB
Volume
397
Category
Article
ISSN
0024-3795

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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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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