Iterative Newton Type Algorithms and Its Applications to Inverse Gravimetry Problem

V. V. Vasin ; E. N. Akimova ; A. F. Miniakhmetova

Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 6 (2013) no. 3, pp. 26-37

Résumé

The paper gives a brief overview of approaches to the construction of iterative processes of the Newton and gradient type for stable approximation of solutions to nonlinear irregular operator equations in Hilbert spaces. For two-stage algorithms based on Lavrentiev regularization scheme and a modified Newton's method the convergence theorem are formulated and the results of numerical solution to three-dimensional inverse gravimerty problem for two-layer model are discussed.

Détail

Keywords: irregular operator equation, modified Newton method, inverse gravimetry problem.

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