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On the iterative solution of linear operator equations with self-adjoint operators

Published online by Cambridge University Press:  09 April 2009

J. J. Koliha
J. J. Koliha
Affiliation:
Department of Mathematics University of Melbourne
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In this paper we deal with a linear equation Au = f in a Hilbert space using a general iterative method with a constant iterative operator for the approximate solution. The method has been studied in many papers [1, 2, 4, 9, 13, 14] and thoroughly treated by Householder [3] for matrix equations and by Petryshyn [7] for operator equations in considerably general and unified manner.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 13 , Issue 2 , March 1972 , pp. 241 - 255
Copyright
Copyright © Australian Mathematical Society 1972

References

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