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Improved Convergence Analysis of Gauss-Newton-Secant Method for Solving Nonlinear Least Squares Problems
| Content Provider | Semantic Scholar |
|---|---|
| Author | Argyros, Ioannis K. Shakhno, Stepan Shunkin, Yurii |
| Copyright Year | 2019 |
| Abstract | We study an iterative differential-difference method for solving nonlinear least squares problems, which uses, instead of the Jacobian, the sum of derivative of differentiable parts of operator and divided difference of nondifferentiable parts. Moreover, we introduce a method that uses the derivative of differentiable parts instead of the Jacobian. Results that establish the conditions of convergence, radius and the convergence order of the proposed methods in earlier work are presented. The numerical examples illustrate the theoretical results. |
| Starting Page | 99 |
| Ending Page | 99 |
| Page Count | 1 |
| File Format | PDF HTM / HTML |
| DOI | 10.3390/math7010099 |
| Volume Number | 7 |
| Alternate Webpage(s) | https://res.mdpi.com/mathematics/mathematics-07-00099/article_deploy/mathematics-07-00099.pdf?attachment=1&filename= |
| Alternate Webpage(s) | https://doi.org/10.3390/math7010099 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
