Iterations of linear bounded operators in non self-adjoint eigenvalue problems and Kellogg's iteration process

Ivo Marek

Czechoslovak Mathematical Journal (1962)

  • Volume: 12, Issue: 4, page 536-554
  • ISSN: 0011-4642

How to cite

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Marek, Ivo. "Iterations of linear bounded operators in non self-adjoint eigenvalue problems and Kellogg's iteration process." Czechoslovak Mathematical Journal 12.4 (1962): 536-554. <http://eudml.org/doc/12146>.

@article{Marek1962,
author = {Marek, Ivo},
journal = {Czechoslovak Mathematical Journal},
keywords = {functional analysis},
language = {eng},
number = {4},
pages = {536-554},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Iterations of linear bounded operators in non self-adjoint eigenvalue problems and Kellogg's iteration process},
url = {http://eudml.org/doc/12146},
volume = {12},
year = {1962},
}

TY - JOUR
AU - Marek, Ivo
TI - Iterations of linear bounded operators in non self-adjoint eigenvalue problems and Kellogg's iteration process
JO - Czechoslovak Mathematical Journal
PY - 1962
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 12
IS - 4
SP - 536
EP - 554
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/12146
ER -

References

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  3. L. Collatz, Numerische Behandlung von Differentialgleichungen, Berlin - Göttingen - Heidelberg 1951. (1951) Zbl0054.05101MR0043563
  4. R. A. Frazer W. J. Duncan A. R. Collar, Elementary Matrices and Some Applications to Dynamics and Differential Equations, Cambridge 1947. (1947) MR0019077
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  7. J. Kolomý, On Convergence of the Iterative Methods, Comment. Math. Univer. Carol. I. 3 1960, 18-24. (1960) 
  8. F. Riesz В. Nagy, Leçons d'analyse fonctionelle, Budapest 1953. (1953) 
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  11. B. C. Владимиров, Численное решение кинетического уравнения для сферы, Вычислительная математика 3 (1958), 3 - 33. (1958) Zbl0995.62501
  12. Б. 3. Byлих, Введение в функциональный анализ, Москва 1959. (1959) 
  13. R. Wavre, 10.1007/BF02565647, Comm. Math. Helv. 15 (1943), 299-317. (1943) MR0010263DOI10.1007/BF02565647
  14. R. Wavre, 10.1007/BF02568565, Comm. Math. Helv. 16 (1944), 65-72. (1944) MR0010262DOI10.1007/BF02568565
  15. H. Wielandt, 10.1007/BF01312438, Math. Zeitschrift 50 (1944), 93 -143. (1944) Zbl0061.26105MR0017460DOI10.1007/BF01312438
  16. A. C. Zaanen, Über vollstetige symmetrisch und symmetrisierbare Operatoren, Nieuw Archief voor Wiskunde, (2) 22 (1948), 57-80. (1948) MR0015661
  17. А. С Zaanen, On Linear Functional Equations, Nieuw Archief voor Wiskunde, (2) 22 (1948), 269-282. (1948) Zbl0030.03402MR0024070

Citations in EuDML Documents

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  1. Ivo Marek, On approximate methods in eigenvalue problems
  2. Ivo Marek, Приближенное решение несимметрических задач на собственные значения. Применение к методу сеток
  3. Ivo Marek, A principle of dehomogenization for eigenvalue problems (Preliminary communication)
  4. Zdenka Groschaftová, Ivo Marek, Königova věta a důkaz konvergence Kelloggova iteračního procesu
  5. Ivo Marek, On a method of D. Marsal for equations with positive operators
  6. Tomáš Kojecký, Iterative solution of eigenvalue problems for normal operators
  7. Jan Zítko, Kellogg's iterations for general complex matrix
  8. Ivo Marek, An infinite dimensional analogue of R. S. Varga's lemma
  9. Ivo Marek, A note on K -positive operators
  10. Tomáš Kojecký, An approximative solution of the generalized eigenvalue problem

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