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Representations for the Drazin inverse of block-operator matrix with singular Schur complement

✍ Scribed by Chunyuan Deng; Yimin Wei

Book ID: 113771936
Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 304 KB
Volume: 435
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2011.04.033

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In 1979, Campbell and Meyer proposed the problem of finding a formula for the Drazin inverse of a 2 × 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