Determination of eigenvalues and eigenfunctions of bounded self-adjoint operators (Preliminary communication)

Josef Kolomý

Commentationes Mathematicae Universitatis Carolinae (1965)

  • Volume: 006, Issue: 3, page 387-392
  • ISSN: 0010-2628

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Kolomý, Josef. "Determination of eigenvalues and eigenfunctions of bounded self-adjoint operators (Preliminary communication)." Commentationes Mathematicae Universitatis Carolinae 006.3 (1965): 387-392. <http://eudml.org/doc/16140>.

@article{Kolomý1965,
author = {Kolomý, Josef},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {numerical analysis},
language = {eng},
number = {3},
pages = {387-392},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Determination of eigenvalues and eigenfunctions of bounded self-adjoint operators (Preliminary communication)},
url = {http://eudml.org/doc/16140},
volume = {006},
year = {1965},
}

TY - JOUR
AU - Kolomý, Josef
TI - Determination of eigenvalues and eigenfunctions of bounded self-adjoint operators (Preliminary communication)
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1965
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 006
IS - 3
SP - 387
EP - 392
LA - eng
KW - numerical analysis
UR - http://eudml.org/doc/16140
ER -

References

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  1. Л. В. КАНТОРОВИЧ, Функциональный аналив и прикладная математика, Усп. мат. наук 3, Nо. 6, 1948, 89-185. (1948) Zbl1154.94303MR0027947
  2. М. А. КРАСНОСЕЛЬСКИЙ, О некоторых приёмах приближённого вычисления собственных значений и собственных векторов положительно определенной матрицы, Успшхи. мат. наук 11, Nо. 2, 1856, 151-158. 
  3. В. Н. КОСТАРЧУК, Об одном методе решения систем линейных уравнений и отыскания собственных векторов матрицы, ДАН СССР, 98, Nо. 4, 1954, 531-534. (1954) Zbl0995.90535MR0068318
  4. Б. П. ПУГАЧЕВ, О двух приёмах приближенного вычисления собственных значений и собственных векторов, ДАН СССР, т. 110, 3, 1956, 334-337. (1956) Zbl0995.90522MR0084182
  5. WANG JIN-RU (WANG CHIN-JU), Gradient methods for finding eigenvalues and eigenvectors, Acta Math. Sinica Vol. 14, Nо. 4 (1964), 538-545. (1964) MR0173358
  6. W. KARUSH, Determination of the extreme values of the spectrum of a bounded self-adjoint operator, Proc. Am. Math. Soc. Vol. 2, Nо. 6, 1951, 980-989. (1951) Zbl0044.11501MR0045312
  7. J. KOLOMÝ, On convergence of the iterative methods, Comment. Math. Univ. Carol. 1, 3 (1960), 18-24. (1960) 
  8. J. KOLOMÝ, On the solution of homogeneous functional equations in Hilbert space, Comment. Math. Univ. Carol. 3, 4 (1962), 36-47. (1962) MR0149306
  9. И. A. BИPГEP, Hекоторые математические методы решения инженерных задач, Мocква 1956. (1956) 
  10. I. MAREK, On iterations of bounded linear operators and Kellogg's iterations in non self-adjoint eigenvalue problems, Czech Math. Journ. 12 (1962), 4, 536-554. (1962) MR0149297
  11. H. F. BÜCKNER, An iterative method for solving non-linear equations, PICC Symposium, Rome 1960 (September), 614-643. (1960) 

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