# Iterative solution of eigenvalue problems for normal operators

Aplikace matematiky (1990)

- Volume: 35, Issue: 2, page 158-161
- ISSN: 0862-7940

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topKojecký, Tomáš. "Iterative solution of eigenvalue problems for normal operators." Aplikace matematiky 35.2 (1990): 158-161. <http://eudml.org/doc/15619>.

@article{Kojecký1990,

abstract = {We will discuss Kellogg's iterations in eigenvalue problems for normal operators. A certain generalisation of the convergence theorem is shown.},

author = {Kojecký, Tomáš},

journal = {Aplikace matematiky},

keywords = {eigenvalue problem; normal operator; Kellogg's iteration; Hilbert space; eigenvector; Hilbert space; normal operator; Kellog type iterations; eigenvector; eigenvalue},

language = {eng},

number = {2},

pages = {158-161},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Iterative solution of eigenvalue problems for normal operators},

url = {http://eudml.org/doc/15619},

volume = {35},

year = {1990},

}

TY - JOUR

AU - Kojecký, Tomáš

TI - Iterative solution of eigenvalue problems for normal operators

JO - Aplikace matematiky

PY - 1990

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 35

IS - 2

SP - 158

EP - 161

AB - We will discuss Kellogg's iterations in eigenvalue problems for normal operators. A certain generalisation of the convergence theorem is shown.

LA - eng

KW - eigenvalue problem; normal operator; Kellogg's iteration; Hilbert space; eigenvector; Hilbert space; normal operator; Kellog type iterations; eigenvector; eigenvalue

UR - http://eudml.org/doc/15619

ER -

## References

top- N. Dunford J. T. Schwartz, Linear operators, I(II), Mir, Moskva 1962 (1966). (1962) Zbl0128.34803MR0216303
- T. Kojecký, Some results about convergence of Kellogg's iterations in eigenvalue problems, Czechoslovak Math. J. (to appear). Zbl0708.65055
- J. Kolomý, Approximate determination of eigenvalues and eigenvectors of self-adjoint operators, Ann. Math. Pol. 38 (1980), 153-158. (1980) Zbl0455.47015MR0599239
- 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. (1962) Zbl0192.23701MR0149297

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