# Sharp Error Bounds for Newton's Process.

Numerische Mathematik (1980)

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

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top## How to cite

topPotra, 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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- 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
- Florian A. Potra, On superadditive rates of convergence
- Ioannis K. Argyros, Saïd Hilout, Extending the applicability of Newton's method using nondiscrete induction
- Florian-Alexandru Potra, Vlastimil Pták, Nondiscrete induction and an inversion-free modification of Newton's method

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