On some new iterative methods for solving the eigenproblem of a linear operator

Věra Maršíková

Aplikace matematiky (1967)

  • Volume: 12, Issue: 5, page 331-350
  • ISSN: 0862-7940

Abstract

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A survey of simple iterative processes is given with theorems and conditions for their convergence. A comparison is shown on several examples of linear integral operators. The results are presented in tables and figures.

How to cite

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Maršíková, Věra. "On some new iterative methods for solving the eigenproblem of a linear operator." Aplikace matematiky 12.5 (1967): 331-350. <http://eudml.org/doc/14491>.

@article{Maršíková1967,
abstract = {A survey of simple iterative processes is given with theorems and conditions for their convergence. A comparison is shown on several examples of linear integral operators. The results are presented in tables and figures.},
author = {Maršíková, Věra},
journal = {Aplikace matematiky},
keywords = {numerical analysis},
language = {eng},
number = {5},
pages = {331-350},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On some new iterative methods for solving the eigenproblem of a linear operator},
url = {http://eudml.org/doc/14491},
volume = {12},
year = {1967},
}

TY - JOUR
AU - Maršíková, Věra
TI - On some new iterative methods for solving the eigenproblem of a linear operator
JO - Aplikace matematiky
PY - 1967
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 12
IS - 5
SP - 331
EP - 350
AB - A survey of simple iterative processes is given with theorems and conditions for their convergence. A comparison is shown on several examples of linear integral operators. The results are presented in tables and figures.
LA - eng
KW - numerical analysis
UR - http://eudml.org/doc/14491
ER -

References

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  1. И. А. Биргер, Некоторые математические решения инженерных задач, Оборонгиз, Москва 1956. (1956) Zbl0995.90522
  2. H. F. Bückner, An iterative method for solving non-linear integral equations, PIIC Symposium, Rome 1960, 614-643. (1960) 
  3. Канторович-Акилов, Функциональный анализ в нормированных пространствах, Физматтиз 1959, 541-554. (1959) Zbl1047.90504
  4. J. Kolomý, On convergence of the iterative methods, Comment. Math. Univ. Carol. 1, fasc. 3 (1960), 18-24. (1960) Zbl0097.33001
  5. J. Kolomý, On the solution of homogenous functional equations in Hilbert space, Comment. Math. Univ. Carol. 3, fasc. 4 (1962), 36-47. (1962) Zbl0108.29904MR0149306
  6. J. Kolomý, Determination of eigenvalues and eigenfunctions of bounded self-adjoint operators, Comment. Math. Univ. Carolinae 6, fasc. 3 (1965), 387 - 392. (1965) Zbl0171.36101MR0198243
  7. J. Kolomý, A note on determination of eigenvalues and eigenfunctions of bounded selfadjoint operators, Comment. Math. Univ. Carol. 7 (1966), fasc. 4, 521-526. (1966) Zbl0171.36102MR0218008
  8. I. Marek, Iterations of linear bounded operators and Kellogg's iterations in non-self adjoint eigenvalue problems, Czech. Math. Journ. 12 (1962), 536-554. (1962) Zbl0192.23701MR0149297
  9. I. Marek, Kellogg's iterations with minimizing parameters, Comment. Math. Univ. Carol. 4, fasc. 2 (1963), 53-64. (1963) Zbl0138.39302MR0172459
  10. I. Marek, Об одном методе ускорения сводимости итерационных процессов, Журнал выч. мат. и мат. физики 2 (1962), 963 - 971. (1962) Zbl0196.44903MR0152112
  11. V. Maršíková, Über neue iterative Methoden im Eigenwertproblem eines beschränkten linearen Operators, Apl. Mat. 10 (1965), 279 - 282. (1965) Zbl0245.65060MR0187367
  12. Michlin, Integrální rovnice, Kар. 2, odst. 16. 
  13. Riesz-Nagy, Лекции по функциональному анализу, Odst. 96. 

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