Some functions of eigenvalues of normal operator
Applications of Mathematics, Tome 35 (1990) no. 5, pp. 356-360
Kellogg's iterations in the eigenvalue problem are discussed with respect to the boundary spectrum of a linear normal operator.
Kellogg's iterations in the eigenvalue problem are discussed with respect to the boundary spectrum of a linear normal operator.
DOI :
10.21136/AM.1990.104417
Classification :
47A75, 47B15, 49G20, 49R05, 65J10
Keywords: eigenvalue problem; normal operator; Kellogg's iteration; Rayleigh-quotient iteration; complex eigenvalues; linear normal operator; convergence
Keywords: eigenvalue problem; normal operator; Kellogg's iteration; Rayleigh-quotient iteration; complex eigenvalues; linear normal operator; convergence
@article{10_21136_AM_1990_104417,
author = {Kojeck\'y, Tom\'a\v{s}},
title = {Some functions of eigenvalues of normal operator},
journal = {Applications of Mathematics},
pages = {356--360},
year = {1990},
volume = {35},
number = {5},
doi = {10.21136/AM.1990.104417},
mrnumber = {1072606},
zbl = {0726.65059},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1990.104417/}
}
Kojecký, Tomáš. Some functions of eigenvalues of normal operator. Applications of Mathematics, Tome 35 (1990) no. 5, pp. 356-360. doi: 10.21136/AM.1990.104417
[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
[3] T. Kojecký: On a certain class of always convergent sequences and the Rayleigh quotient iteration. AUPO F.R.N. (1988), 85-90. | MR
[4] J. Kolomý: On determination of eigenvalues and eigenvectors of self-adjoint operators. Apl. mat. 26 (1981), 161-170. | MR
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