A Convergence Theorem for Newton-Like Methods in Banach Spaces.
Numerische Mathematik (1987)
- Volume: 51, page 545-558
- ISSN: 0029-599X; 0945-3245/e
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topYamamoto, 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
top- Ioannis K. Argyros, New sufficient convergence conditions for the secant method
- José Antonio Ezquerro, Daniel González, Miguel Ángel Hernández, A general semilocal convergence result for Newton’s method under centered conditions for the second derivative
- Ioannis K. Argyros, Said Hilout, Convergence conditions for Secant-type methods
- Ioannis K. Argyros, On an application of a Newton-like method to the approximation of implicit functions
- José Antonio Ezquerro, Daniel González, Miguel Ángel Hernández, A general semilocal convergence result for Newton’s method under centered conditions for the second derivative
- Ioannis K. Argyros, Saïd Hilout, Weaker convergence conditions for the secant method
- Ioannis K. Argyros, Saïd Hilout, Extending the applicability of Newton's method using nondiscrete induction
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