Some functions of eigenvalues of normal operator

Tomáš Kojecký

Aplikace matematiky (1990)

  • Volume: 35, Issue: 5, page 356-360
  • ISSN: 0862-7940

Abstract

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Kellogg's iterations in the eigenvalue problem are discussed with respect to the boundary spectrum of a linear normal operator.

How to cite

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Kojecký, Tomáš. "Some functions of eigenvalues of normal operator." Aplikace matematiky 35.5 (1990): 356-360. <http://eudml.org/doc/15636>.

@article{Kojecký1990,
abstract = {Kellogg's iterations in the eigenvalue problem are discussed with respect to the boundary spectrum of a linear normal operator.},
author = {Kojecký, Tomáš},
journal = {Aplikace matematiky},
keywords = {eigenvalue problem; normal operator; Kellogg's iteration; Rayleigh-quotient iteration; complex eigenvalues; linear normal operator; convergence; Rayleigh-quotient iteration; complex eigenvalues; linear normal operator; convergence; Kellog's iterations},
language = {eng},
number = {5},
pages = {356-360},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some functions of eigenvalues of normal operator},
url = {http://eudml.org/doc/15636},
volume = {35},
year = {1990},
}

TY - JOUR
AU - Kojecký, Tomáš
TI - Some functions of eigenvalues of normal operator
JO - Aplikace matematiky
PY - 1990
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 35
IS - 5
SP - 356
EP - 360
AB - Kellogg's iterations in the eigenvalue problem are discussed with respect to the boundary spectrum of a linear normal operator.
LA - eng
KW - eigenvalue problem; normal operator; Kellogg's iteration; Rayleigh-quotient iteration; complex eigenvalues; linear normal operator; convergence; Rayleigh-quotient iteration; complex eigenvalues; linear normal operator; convergence; Kellog's iterations
UR - http://eudml.org/doc/15636
ER -

References

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  1. N. Dunford J. T. Schwartz, Linear Operators I, II, Interscience, New York (1958). (1958) 
  2. T. Kojecký, Iterative solution of eigenvalue problems for normal operator, Apl. rnat. 35 (1990), 158-161. (1990) MR1042851
  3. T. Kojecký, On a certain class of always convergent sequences and the Rayleigh quotient iteration, AUPO F.R.N. (1988), 85-90. (1988) MR1039885
  4. J. Kolomý, On determination of eigenvalues and eigenvectors of self-adjoint operators, Apl. mat. 26 (1981), 161-170. (1981) MR0615603

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