<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The aim of this paper is to expand the applicability of four iterative methods for solving nonlinear least squares problems. The advantages obtained under the same computational cost as in earlier studies, include: larger radius of convergence, tighter error bounds on the distances involved and a better information on the location of the solution.</p></abstract>

The aim of this paper is to expand the applicability of four iterative methods for solving nonlinear least squares problems. The advantages obtained under the same computational cost as in earlier studies, include: larger radius of convergence, tighter error bounds on the distances involved and a better information on the location of the solution.

Expanding the Applicability of Four Iterative Methods for Solving Least Squares Problems

Department of Mathematics, Sant Longowal Institute of Engineering and Technology

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The aim of this paper is to expand the applicability of four iterative methods for solving nonlinear least squares problems. The advantages obtained under the...

Expanding the Applicability of Four Iterative Methods for Solving Least Squares Problems

Published Online: Dec 29, 2017

Page range: 33 - 49

Received: Aug 14, 2017

Accepted: Oct 25, 2017

DOI: https://doi.org/10.1515/awutm-2017-0013

Keywords
Local convergence, least squares problems, Gauss-Newton’s method, Secant method, Three-point method, Kurchatov-type method

© 2017 Ioannis K. Argyros et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Expanding the Applicability of Four Iterative Methods for Solving Least Squares Problems

Published Online: Dec 29, 2017

Page range: 33 - 49

Received: Aug 14, 2017

Accepted: Oct 25, 2017

DOI: https://doi.org/10.1515/awutm-2017-0013

KeywordsLocal convergence, least squares problems, Gauss-Newton’s method, Secant method, Three-point method, Kurchatov-type method

© 2017 Ioannis K. Argyros et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Local convergence, least squares problems, Gauss-Newton’s method, Secant method, Three-point method, Kurchatov-type method