Sharp Error Bounds for Newton's Process.

F.A. Potra; V. Pták

Numerische Mathematik (1980)

  • Volume: 34, page 63-72
  • ISSN: 0029-599X; 0945-3245/e

How to cite

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Potra, F.A., and Pták, V.. "Sharp Error Bounds for Newton's Process.." Numerische Mathematik 34 (1980): 63-72. <http://eudml.org/doc/132659>.

@article{Potra1980,
author = {Potra, F.A., Pták, V.},
journal = {Numerische Mathematik},
keywords = {Newton process; sharp apriori estimates; method of successive approximations; iterative procedure; metric space},
pages = {63-72},
title = {Sharp Error Bounds for Newton's Process.},
url = {http://eudml.org/doc/132659},
volume = {34},
year = {1980},
}

TY - JOUR
AU - Potra, F.A.
AU - Pták, V.
TI - Sharp Error Bounds for Newton's Process.
JO - Numerische Mathematik
PY - 1980
VL - 34
SP - 63
EP - 72
KW - Newton process; sharp apriori estimates; method of successive approximations; iterative procedure; metric space
UR - http://eudml.org/doc/132659
ER -

Citations in EuDML Documents

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  1. Ioannis K. Argyros, Error bounds for the secant method
  2. José Antonio Ezquerro, Daniel González, Miguel Ángel Hernández, A general semilocal convergence result for Newton’s method under centered conditions for the second derivative
  3. Ioannis K. Argyros, On an application of a Newton-like method to the approximation of implicit functions
  4. José Antonio Ezquerro, Daniel González, Miguel Ángel Hernández, A general semilocal convergence result for Newton’s method under centered conditions for the second derivative
  5. Ioannis K. Argyros, Saïd Hilout, Weaker convergence conditions for the secant method
  6. Florian A. Potra, On superadditive rates of convergence
  7. Ioannis K. Argyros, Saïd Hilout, Extending the applicability of Newton's method using nondiscrete induction
  8. Florian-Alexandru Potra, Vlastimil Pták, Nondiscrete induction and an inversion-free modification of Newton's method

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