Convergence analysis of the general Gauss-Newton algorithm |
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Authors: | Robert Schaback |
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Institution: | (1) Institut für Numerische und Angewandte Mathematik, Universität Göttingen, Lotzestr. 16-18, D-3400 Göttingen, Federal Republic of Germany |
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Abstract: | Summary The convergence of the Gauss-Newton algorithm for solving discrete nonlinear approximation problems is analyzed for general norms and families of functions. Aquantitative global convergence theorem and several theorems on the rate of local convergence are derived. A general stepsize control procedure and two regularization principles are incorporated. Examples indicate the limits of the convergence theorems. |
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Keywords: | AMS(MOS): 65H10 CR: G1 5 |
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