Pokrzywa, Andrzej Spectral approximation of positive operators by iteration subspace method. (English) Zbl 0562.65036 Apl. Mat. 29, 104-113 (1984). 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 Cited in 1 Document MSC: 65J10 Numerical solutions to equations with linear operators 47A10 Spectrum, resolvent Keywords:positive operators; complex Hilbert space; iteration subspace method; spectrum; eigenvalues; eigenvectors; Schmidt orthogonalization PDF BibTeX XML Cite \textit{A. Pokrzywa}, Apl. Mat. 29, 104--113 (1984; Zbl 0562.65036) Full Text: EuDML OpenURL References: [1] T. Kato: Perturbation Theory for Linear Operators. Springer-Verlag, Berlin- Heidelberg- New York, 1966. · Zbl 0148.12601 [2] J. Kolomý: Determination of eigenvalues and eigenvectors of self-adjoint operators. Mathematica - Revue d’analyse numerique et de theorie de l’approximation. 22 (45), No 1, 1980, pp. 53-58. [3] J. Kolomý: On determination of eigenvalues and eigenvectors of self-adjoint operators. Apl. Mat. 26 (1981), pp. 161-170. [4] B. N. Parlett: The Symmetric Eigenvalue Problem. Prentice-Hall, Inc., Englewood Cliffs, 1980. · Zbl 0431.65017 [5] J. H. Wilkinson: The Algebraic Eigenvalue Problem. Clarendon Press, Oxford, 1965. · Zbl 0258.65037 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.