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Additive and multiplicative perturbation bounds for the Moore-Penrose inverse

✍ Scribed by Li-xia Cai; Wei-wei Xu; Wen Li

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
173 KB
Volume
434
Category
Article
ISSN
0024-3795

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We consider the perturbation formula for the weighted Moore-Penrose inverse of a rectangular matrix and give an explicit expression for the weighted Moore-Penrose inverse of a perturbed matrix under the weakest rank condition. This explicit expression extends the earlier work of several authors. (~)

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A number of operator inclusions, and identities, involving the Moore-Penrose inverse of a closed densely defined linear operator, are presented. Some of these inclusions generalize known identities in the case when the operator is bounded and has closed range. An application to a known compactness c