A Convergence Theorem for Newton-Like Methods in Banach Spaces.

Tetsuro Yamamoto

Numerische Mathematik (1987)

  • Volume: 51, page 545-558
  • ISSN: 0029-599X; 0945-3245/e

How to cite

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Yamamoto, Tetsuro. "A Convergence Theorem for Newton-Like Methods in Banach Spaces.." Numerische Mathematik 51 (1987): 545-558. <http://eudml.org/doc/133212>.

@article{Yamamoto1987,
author = {Yamamoto, Tetsuro},
journal = {Numerische Mathematik},
keywords = {Banach spaces; convergence theorem; sharp error bounds; Newton-like methods},
pages = {545-558},
title = {A Convergence Theorem for Newton-Like Methods in Banach Spaces.},
url = {http://eudml.org/doc/133212},
volume = {51},
year = {1987},
}

TY - JOUR
AU - Yamamoto, Tetsuro
TI - A Convergence Theorem for Newton-Like Methods in Banach Spaces.
JO - Numerische Mathematik
PY - 1987
VL - 51
SP - 545
EP - 558
KW - Banach spaces; convergence theorem; sharp error bounds; Newton-like methods
UR - http://eudml.org/doc/133212
ER -

Citations in EuDML Documents

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  1. Ioannis K. Argyros, New sufficient convergence conditions 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. Ioannis K. Argyros, Said Hilout, Convergence conditions for Secant-type methods
  5. José Antonio Ezquerro, Daniel González, Miguel Ángel Hernández, A general semilocal convergence result for Newton’s method under centered conditions for the second derivative
  6. Ioannis K. Argyros, Saïd Hilout, Weaker convergence conditions for the secant method
  7. Ioannis K. Argyros, Saïd Hilout, Extending the applicability of Newton's method using nondiscrete induction

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