Gradient methods for the construction of Ljusternik-Schnirelmann critical values

Alexander Kratochvíl; Jindřich Nečas

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1980)

  • Volume: 14, Issue: 1, page 43-54
  • ISSN: 0764-583X

How to cite

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Kratochvíl, Alexander, and Nečas, Jindřich. "Gradient methods for the construction of Ljusternik-Schnirelmann critical values." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 14.1 (1980): 43-54. <http://eudml.org/doc/193351>.

@article{Kratochvíl1980,
author = {Kratochvíl, Alexander, Nečas, Jindřich},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {Ljusternik-Schnirelmann critical values; gradient methods; discretization of a continuous method; nonlinear eigenvalue problems; Hilbert space},
language = {eng},
number = {1},
pages = {43-54},
publisher = {Dunod},
title = {Gradient methods for the construction of Ljusternik-Schnirelmann critical values},
url = {http://eudml.org/doc/193351},
volume = {14},
year = {1980},
}

TY - JOUR
AU - Kratochvíl, Alexander
AU - Nečas, Jindřich
TI - Gradient methods for the construction of Ljusternik-Schnirelmann critical values
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1980
PB - Dunod
VL - 14
IS - 1
SP - 43
EP - 54
LA - eng
KW - Ljusternik-Schnirelmann critical values; gradient methods; discretization of a continuous method; nonlinear eigenvalue problems; Hilbert space
UR - http://eudml.org/doc/193351
ER -

References

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  1. 1 M A ALTMAN, A Generalized Gradient Method of Minimizing a Functional on a Nonlinear Surface with Application to Nonlinear Programming, Mathematica (Cluj), Vol 11, No 34 1969 pp 13-27 Zbl0213.17203MR258246
  2. 2 S FUCIK, J NECAS and V SOUCEK, Spectral Analysis of Nonlinear Operators In Lecture Notes m Mathematics Springer-Verlag, 1973 Zbl0268.47056MR467421
  3. 3 A KRATOCHVIL and J NECASSecant Modulus Method for the Construction of a Solution of Nonlinear Eigenvalue Problems, Bollessmo U M I, Vo l16-B, No 5, 1979, pp 694-710 Zbl0435.47061MR546485
  4. 4 J NECAS, An Approximate Method for Finding Critical Points of Even Functionals (in Russian), Trudy Matem Inst A N S S S R , Vol 134, 1975, pp 235-239 Zbl0374.47034MR391169
  5. 5 W PETRY, Iterative Construction of a Solution of Nonlinear Eigenvalue Problems, Mathematica (Cluj), Vol 14, No 37, 2, 1972, pp 317-337 Zbl0282.65049MR358479
  6. 6 J SCHRODER, Storungsrechnung bei Eigenwertaufgaben und Verzweigungsaufgaben, Arch Rat Mech Anal Vol 1, 1957/1958, pp 436-468 Zbl0098.08801MR101489
  7. 7 M M VAJNBERG, Variational Methods for the Study of Nonlinear Operators, G I T T L , Moscow, 1956, English, transl , Holden-Day, San Francisco, Calif , 1964 Zbl0122.35501MR176364

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