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Projection methods for inversion of unbounded operators
, G. Ramesh
Published in
2008
Volume: 39
   
Issue: 2
Pages: 185 - 202
Abstract
Let T be a closed linear operator defined on a dense subspace D(T) of a separable complex Hilbert space H and suppose that T has a bounded inverse. We characterize the convergence of projection methods for solving the operator equation Tx = y. We discuss the stability of convergence of projection methods under bounded perturbations. Also we discuss convergence of modified projection methods. We give examples to illustrate our results.
About the journal
JournalIndian Journal of Pure and Applied Mathematics
ISSN00195588