On an iterative method for unconstrained optimization

Ioannis K. Argyros

Applicationes Mathematicae (2015)

  • Volume: 42, Issue: 4, page 333-342
  • ISSN: 1233-7234

Abstract

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We present a local and a semi-local convergence analysis of an iterative method for approximating zeros of derivatives for solving univariate and unconstrained optimization problems. In the local case, the radius of convergence is obtained, whereas in the semi-local case, sufficient convergence criteria are presented. Numerical examples are also provided.

How to cite

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Ioannis K. Argyros. "On an iterative method for unconstrained optimization." Applicationes Mathematicae 42.4 (2015): 333-342. <http://eudml.org/doc/279093>.

@article{IoannisK2015,
abstract = {We present a local and a semi-local convergence analysis of an iterative method for approximating zeros of derivatives for solving univariate and unconstrained optimization problems. In the local case, the radius of convergence is obtained, whereas in the semi-local case, sufficient convergence criteria are presented. Numerical examples are also provided.},
author = {Ioannis K. Argyros},
journal = {Applicationes Mathematicae},
keywords = {univariate optimization; unconstrained optimization; Newton-like method; local/semi-local convergence},
language = {eng},
number = {4},
pages = {333-342},
title = {On an iterative method for unconstrained optimization},
url = {http://eudml.org/doc/279093},
volume = {42},
year = {2015},
}

TY - JOUR
AU - Ioannis K. Argyros
TI - On an iterative method for unconstrained optimization
JO - Applicationes Mathematicae
PY - 2015
VL - 42
IS - 4
SP - 333
EP - 342
AB - We present a local and a semi-local convergence analysis of an iterative method for approximating zeros of derivatives for solving univariate and unconstrained optimization problems. In the local case, the radius of convergence is obtained, whereas in the semi-local case, sufficient convergence criteria are presented. Numerical examples are also provided.
LA - eng
KW - univariate optimization; unconstrained optimization; Newton-like method; local/semi-local convergence
UR - http://eudml.org/doc/279093
ER -

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