Geodesic
Iterative solution of eigenvalue problems for normal operators
Applications of Mathematics, Tome 35 (1990) no. 2, pp. 158-161 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We will discuss Kellogg's iterations in eigenvalue problems for normal operators. A certain generalisation of the convergence theorem is shown.
We will discuss Kellogg's iterations in eigenvalue problems for normal operators. A certain generalisation of the convergence theorem is shown.
DOI : 10.21136/AM.1990.104397
Classification : 47A75, 47B15, 49G20, 65J10
Keywords: eigenvalue problem; normal operator; Kellogg's iteration; Hilbert space; eigenvector 
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Kojecký, Tomáš. Iterative solution of eigenvalue problems for normal operators. Applications of Mathematics, Tome 35 (1990) no. 2, pp. 158-161. doi: 10.21136/AM.1990.104397

[1] N. Dunford J. T. Schwartz: Linear operators. I(II), Mir, Moskva 1962 (1966). | MR

[2] T. Kojecký: Some results about convergence of Kellogg's iterations in eigenvalue problems. Czechoslovak Math. J. (to appear).

[3] J. Kolomý: Approximate determination of eigenvalues and eigenvectors of self-adjoint operators. Ann. Math. Pol. 38 (1980), 153-158. | DOI | MR

[4] I. Marek: Iterations of linear bounded operators in non self-adjoint eigenvalue problems and Kellogg's iteration process. Czechoslovak Math. J. 12 (1962), 536-554. | MR | Zbl

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