Projection methods for computing Moore-Penrose inverses of unbounded operators

S. H. Kulkarni () and G. Ramesh ()
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S. H. Kulkarni: I. I. T. Madras
G. Ramesh: ISI Bangalore

Indian Journal of Pure and Applied Mathematics, 2010, vol. 41, issue 5, 647-662

Abstract: 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.

Keywords: Densely defined operator; closed operator; Moore-Penrose inverse; generalized projection method (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s13226-010-0037-6

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