Local convergence results of Gauss-Newton's like method in weak conditions |
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| Authors: | Jinhai Chen Weiguo Li |
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| Institution: | a Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong
b School of Mathematics and Computational Sciences, University of Petroleum, Dongying 257061, Shandong Province, People's Republic of China |
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| Abstract: | In this paper, we study the convergence of Gauss-Newton's like method for nonlinear least squares problems. Under the hypothesis that derivative satisfies some kind of weak Lipschitz condition, we obtain the sharp estimates of the radii of convergence ball of Gauss-Newton's like method and the uniqueness ball of the solution. |
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| Keywords: | Gauss-Newton's like method Lipschitz condition Convergence ball Uniqueness ball |
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