• Corpus ID: 117708481

Generalized inverses of linear operators : representation and approximation

@inproceedings{Groetsch1977GeneralizedIO,
  title={Generalized inverses of linear operators : representation and approximation},
  author={Charles W. Groetsch},
  year={1977},
  url={https://api.semanticscholar.org/CorpusID:117708481}
}
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185 Citations
Highly Influential Citations
13
Background Citations
52
Methods Citations
15
Results Citations
3

185 Citations

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Moore-Penrose Inverse of Linear Operators

Before Moore introduced the generalized inverse of matrices by algebraic methods, Fredholm, Hilbert, Schmidt, Bounitzky, Hurwitz and other mathematicians had studied the generalized inverses of…

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Let H1 and H2 be real Hilbert spaces. Suppose H2 is partially ordered, a, b ∊ H2 c ∊ H1 and A :H1 → H2 is a continuous linear map. We consider the following interval linear program: Maximize subject…

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Let H and K be Hilbert spaces and let T, e T = T + -T be bounded operators from H into K. In this article, two facts related to the perturbation bounds are studied. The first one is to find the upper…

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    Adi Ben-Israel
    Mathematics
    Mathematical Proceedings of the Cambridge…
  • 1986
As a mathematical area generalized inversion1 was inaugurated in 1955 by R. Penrose [128]. Since then there have appeared about 2000 articles and 15 books2 on generalized inverses of matrices and…
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