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. Tomáš Kojecký, Iterative solution of eigenvalue problems for normal operators
  5. Zdenka Groschaftová, Ivo Marek, Königova věta a důkaz konvergence Kelloggova iteračního procesu
  6. Tomáš Kojecký, An approximative solution of the generalized eigenvalue problem
  7. Jan Zítko, Kellogg's iterations for general complex matrix
  8. Ivo Marek, On a method of D. Marsal for equations with positive operators
  9. Ivo Marek, A note on K -positive operators
  10. Ivo Marek, An infinite dimensional analogue of R. S. Varga's lemma

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