A modification of Newton's method

Vlastimil Pták

Časopis pro pěstování matematiky (1976)

  • Volume: 101, Issue: 2, page 188-194
  • ISSN: 0528-2195

How to cite


Pták, Vlastimil. "A modification of Newton's method." Časopis pro pěstování matematiky 101.2 (1976): 188-194. <http://eudml.org/doc/21271>.

author = {Pták, Vlastimil},
journal = {Časopis pro pěstování matematiky},
language = {eng},
number = {2},
pages = {188-194},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {A modification of Newton's method},
url = {http://eudml.org/doc/21271},
volume = {101},
year = {1976},

AU - Pták, Vlastimil
TI - A modification of Newton's method
JO - Časopis pro pěstování matematiky
PY - 1976
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 101
IS - 2
SP - 188
EP - 194
LA - eng
UR - http://eudml.org/doc/21271
ER -


  1. J. Moser, A rapidly convergent iteration method and nonlinear partial differential equations, Ann. Scuola Norm. Sup. Pisa 20 (1966), 265-315. (1966) MR0199523
  2. K Pták, A theorem of the closed graph type, Manuscripta Math. 13 (1974), 109-130. (1974) MR0348430
  3. K Pták, Deux théoremes de factorisation, Comptes Rendus Ac. Sci. Paris 278 (1974), 1091-1094. (1974) MR0341096
  4. K Pták, A quantitative refinement of the closed graph theorem, Czech. Math. Ј. 99 (1974), 503-506. (1974) MR0348431
  5. K Pták, On the closed graph theorem, Czech. Math. Ј. 84 (1959), 523-527. (1959) MR0115061
  6. J. Křîžková P. Vrbová, A remark on a factorization theorem, Comment. Math. Univ. Carol. 15 (1974), 611-614. (1974) MR0361789
  7. [7Ј J. Zemánek, A remark on transitivity of operator algebras, Čas. pӗst. mat. I00 (1975), 176-178. (1975) MR0380436
  8. K Pták, Nondiscręte mathematical induction and iterative existence proofs, Lin. Algebra and its Appl., in print. 

Citations in EuDML Documents

  1. Hana Petzeltová, Application of Moser's method to a certain type of evolution equations
  2. Hana Petzeltová, Pavla Vrbová, A remark on small divisors problems
  3. Vlastimil Pták, What should be a rate of convergence ?
  4. Pavel Krejčí, Hard implicit function theorem and small periodic solutions to partial differential equations
  5. Florian A. Potra, On superadditive rates of convergence
  6. Ioannis K. Argyros, Saïd Hilout, Extending the applicability of Newton's method using nondiscrete induction
  7. Florian-Alexandru Potra, Vlastimil Pták, Nondiscrete induction and an inversion-free modification of Newton's method

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