LOCAL CONVERGENCE OF A TWO-STEP GAUSS-NEWTON WERNER-TYPE METHOD FOR SOLVING LEAST SQUARES PROBLEMS
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Date
2024
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Publisher
Publishing House of the Romanian Academy
Abstract
The aim of this paper is to extend the applicability of a two-step Gauss-Newton-Werner-type method (TGNWTM) for solving nonlinear least squares problems. The radius of convergence, error bounds and the information on the location of the solution are improved under the same information as in earlier studies. Numerical examples further validate the theoretical results. © 2024, Publishing House of the Romanian Academy. All rights reserved.
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Keywords
average Lipschitz condition, Gauss-Newton method, least squares problem, local convergence, Werner’s method
Citation
Journal of Numerical Analysis and Approximation Theory, 2024, 53, 1, pp. 158-168