The convergence analysis of inexact Gauss–Newton methods for nonlinear problems |
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Authors: | Jinhai Chen |
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Institution: | (1) Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong |
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Abstract: | In this paper, inexact Gauss–Newton methods for nonlinear least squares problems are studied. Under the hypothesis that derivative
satisfies some kinds of weak Lipschitz conditions, the local convergence properties of inexact Gauss–Newton and inexact Gauss–Newton
like methods for nonlinear problems are established with the modified relative residual control. The obtained results can
provide an estimate of convergence ball for inexact Gauss–Newton methods. |
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Keywords: | Nonlinear least squares problems Inexact Gauss– Newton methods Weak Lipschitz condition Convergence ball |
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