On an one-step modification of Gauss-Newton method under generalized Lipschitz conditions for solving the nonlinear least squares problem |
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| Authors: | Stepan Shakhno Roman Iakymchuk |
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| Affiliation: | Ivan Franko National University of Lviv, Universitetska Str. 1, 79000, Lviv, Ukraine |
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| Abstract: | We investigate convergence of the one-step modification of Gauss-Newton method using the divided differences and the weak generalized Lipschitz condition for the divided differences. Convergence order of the method was examined and the uniqueness ball for the solution of the nonlinear least squares problem was proved. Numerical experiments were also provided. (© 2009 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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