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Spectral approximation of positive operators by iteration subspace method. (English) Zbl 0562.65036

Author’s summary: The iteration subspace method for approximating a few points of the spectrum of a positive linear bounded operator is studied. The behaviour of eigenvalues and eigenvectors of the operators \(A_ n\) arising by this method and their dependence on the initial subspace are described. An application of the Schmidt orthogonalization process for the approximate computation of the eigenelements of the operators \(A_ n\) is also considered.
Reviewer: J.Albrycht

MSC:

65J10 Numerical solutions to equations with linear operators
47A10 Spectrum, resolvent
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References:

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