Geodesic
Spectral approximation of positive operators by iteration subspace method
Applications of Mathematics, Tome 29 (1984) no. 2, pp. 104-113
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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 approximate computation of eigenelements of operators $A_n$ is also considered.
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 approximate computation of eigenelements of operators $A_n$ is also considered.
DOI : 10.21136/AM.1984.104074
Classification : 47A10, 47B15, 65J10
Keywords: positive operators; complex Hilbert space; iteration subspace method; spectrum; eigenvalues; eigenvectors; Schmidt orthogonalization 
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Pokrzywa, Andrzej. Spectral approximation of positive operators by iteration subspace method. Applications of Mathematics, Tome 29 (1984) no. 2, pp. 104-113. doi: 10.21136/AM.1984.104074

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