A derivative free iterative method for solving least squares problems |
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| Authors: | Hongmin Ren Ioannis K. Argyros Saïd Hilout |
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| Affiliation: | 1.Department of Information and Electronics,Hangzhou Radio and TV University,Zhejiang,People’s Republic of China;2.Department of Mathematics Sciences,Cameron University,Lawton,USA;3.Laboratoire de Mathématiques et Applications,Poitiers University,Futuroscope Chasseneuil Cedex,France |
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| Abstract: | A derivative free iterative method for approximating a solution of nonlinear least squares problems is studied first in Shakhno and Gnatyshyn (Appl Math Comput 161:253–264, 2005). The radius of convergence is determined as well as usable error estimates. We show that this method is faster than its Secant analogue examined in Shakhno and Gnatyshyn (Appl Math Comput 161:253–264, 2005). Numerical example is also provided in this paper. |
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