Original Articles

METHOD OF APPROXIMATE INVERSE FOR SOLVING EQUATIONS IN HILBERT SPACES

Published in: Quaestiones Mathematicae
Volume 15 , issue 1 , 1992 , pages: 53–71

DOI: 10.1080/16073606.1992.9631673

Author(s): J.R. Mika Department of Mathematics and Applied Mathematics, South Africa , R. , A.B. Bond Department of Mathematics and Applied Mathematics, South Africa

Keywords: 47

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Abstract

The spectral mapping theorem is used to establish the approximation method for functions of normal operators in Hilbert spaces. The application of the method for approximating an inverse leads to an iterative procedure similar to the Chebyshev iterative technique in linear algebra. A numerical example is given to illustrate the method.

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