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Projection methods for computing Moore-Penrose inverses of unbounded operators

Author

Listed:
  • S. H. Kulkarni

    (I. I. T. Madras)

  • G. Ramesh

    (ISI Bangalore)

Abstract

In this article we give a characterization of the convergence of projection methods which are useful for approximating the Moore-Penrose inverse of a closed densely defined operator between Hilbert spaces. We illustrate the main theorem with an example. Also a procedure for constructing the admissible sequence of projections is discussed.

Suggested Citation

  • S. H. Kulkarni & G. Ramesh, 2010. "Projection methods for computing Moore-Penrose inverses of unbounded operators," Indian Journal of Pure and Applied Mathematics, Springer, vol. 41(5), pages 647-662, October.
    • Handle: RePEc:spr:indpam:v:41:y:2010:i:5:d:10.1007_s13226-010-0037-6
    DOI: 10.1007/s13226-010-0037-6
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    References listed on IDEAS

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    1. Simone Gramsch & Eberhard Schock, 2003. "Ill-posed equations with transformed argument," Abstract and Applied Analysis, Hindawi, vol. 2003, pages 1-7, January.
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