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Kojecký, Tomáš
Some functions of eigenvalues of normal operator. (English). Aplikace matematiky, vol. 35 (1990), issue 5, pp. 356-360
MSC: 47A75, 47B15, 49G20, 49R05, 65J10 | MR 1072606 | Zbl 0726.65059 | DOI: 10.21136/AM.1990.104417
Keywords:
eigenvalue problem; normal operator; Kellogg's iteration; Rayleigh-quotient iteration; complex eigenvalues; linear normal operator; convergence
Summary:
Kellogg's iterations in the eigenvalue problem are discussed with respect to the boundary spectrum of a linear normal operator.
References:
[1] N. Dunford J. T. Schwartz: Linear Operators I, II. Interscience, New York (1958).
[2] T. Kojecký: Iterative solution of eigenvalue problems for normal operator. Apl. rnat. 35 (1990), 158-161. MR 1042851
[3] T. Kojecký: On a certain class of always convergent sequences and the Rayleigh quotient iteration. AUPO F.R.N. (1988), 85-90. MR 1039885
[4] J. Kolomý: On determination of eigenvalues and eigenvectors of self-adjoint operators. Apl. mat. 26 (1981), 161-170. MR 0615603
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