The rate of convergence of a modified Newton's process

Florian-Alexandru Potra

Aplikace matematiky (1981)

  • Volume: 26, Issue: 1, page 13-17
  • ISSN: 0862-7940

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Potra, Florian-Alexandru. "The rate of convergence of a modified Newton's process." Aplikace matematiky 26.1 (1981): 13-17. <http://eudml.org/doc/15176>.

@article{Potra1981,
author = {Potra, Florian-Alexandru},
journal = {Aplikace matematiky},
keywords = {method of nondiscrete mathematical induction; rate of convergence; Newton’s process; sharp error bounds; method of nondiscrete mathematical induction; rate of convergence; Newton's process; sharp error bounds},
language = {eng},
number = {1},
pages = {13-17},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The rate of convergence of a modified Newton's process},
url = {http://eudml.org/doc/15176},
volume = {26},
year = {1981},
}

TY - JOUR
AU - Potra, Florian-Alexandru
TI - The rate of convergence of a modified Newton's process
JO - Aplikace matematiky
PY - 1981
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 26
IS - 1
SP - 13
EP - 17
LA - eng
KW - method of nondiscrete mathematical induction; rate of convergence; Newton’s process; sharp error bounds; method of nondiscrete mathematical induction; rate of convergence; Newton's process; sharp error bounds
UR - http://eudml.org/doc/15176
ER -

References

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  1. M. Frechet, 10.24033/asens.766, Ann. Ec. Norm. Sup., 42, (1925), 293-323. (1925) MR1509268DOI10.24033/asens.766
  2. Л. В. Канторович, Фунциональный анализ и прикладная математика, У. M. H., 3, 89-185 (1948). (1948) Zbl1154.94303MR0027947
  3. Л. В. Канторович, О методе Ньютона, Труды Матем. Института Стеклова, 28, 104-144 (1949). (1949) Zbl1152.51302MR0038560
  4. Л. В. Канторович Г. П. Акилов, Фунциональный анализ, Издание второе переработанное, Москва (1977). (1977) Zbl1225.01071
  5. V. Pták, Nondiscrete mathematical induction and iterative existence proofs, Linear algebra and its applications 13 (1976), 223 - 238. (1976) MR0394119
  6. V. Pták, 10.1007/BF01399416, Num. Math., 25 (І976), 279-285., Zbl0304.65037MR0478587DOI10.1007/BF01399416
  7. L. Schwartz, Analyse Mathématique, Herman, Paris, 1967. (1967) Zbl0171.01301

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