# 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 -

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- 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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