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Volume 11, Issue 3
Enlarging the Ball Convergence for the Modified Newton Method to Solve Equation with Solutions of Multiplicity Under Weak Conditions

Ioannis K. Argyros & Santhosh George

Numer. Math. Theor. Meth. Appl., 11 (2018), pp. 506-517.

Published online: 2018-11

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The objective of this paper is to enlarge the ball of convergence and improve the error bounds of the modified Newton method for solving equations with solutions of multiplicity under weak conditions.

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@Article{NMTMA-11-506, author = {Ioannis K. Argyros and Santhosh George}, title = {Enlarging the Ball Convergence for the Modified Newton Method to Solve Equation with Solutions of Multiplicity Under Weak Conditions}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2018}, volume = {11}, number = {3}, pages = {506--517}, abstract = {

The objective of this paper is to enlarge the ball of convergence and improve the error bounds of the modified Newton method for solving equations with solutions of multiplicity under weak conditions.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2017-OA-0055}, url = {http://global-sci.org/intro/article_detail/nmtma/12442.html} }
TY - JOUR T1 - Enlarging the Ball Convergence for the Modified Newton Method to Solve Equation with Solutions of Multiplicity Under Weak Conditions AU - Ioannis K. Argyros & Santhosh George JO - Numerical Mathematics: Theory, Methods and Applications VL - 3 SP - 506 EP - 517 PY - 2018 DA - 2018/11 SN - 11 DO - http://doi.org/10.4208/nmtma.2017-OA-0055 UR - https://global-sci.org/intro/article_detail/nmtma/12442.html KW - AB -

The objective of this paper is to enlarge the ball of convergence and improve the error bounds of the modified Newton method for solving equations with solutions of multiplicity under weak conditions.

Ioannis K. Argyros and Santhosh George. (2018). Enlarging the Ball Convergence for the Modified Newton Method to Solve Equation with Solutions of Multiplicity Under Weak Conditions. Numerical Mathematics: Theory, Methods and Applications. 11 (3). 506-517. doi:10.4208/nmtma.2017-OA-0055
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