Geophysical Journal | 1999 volume 21 Ή5

Modification of a differential model of the Newton's method in inverse geophysical problems

© Babenko L.V.

To solve inverse geophysical problems the author proposes an algorithm of the determination of a minimum of the multiparametric functional of the object of an equivalent problem based on a differential model of the Newton method and its modification. The basis of the least number of matrices of the Newton differential scheme with maintaining a sufficiently high rate of converg-ence to the problem solution. Problems of the choice of an optimal iteration process from the given class which could enable us to find a solution with the present accuracy for a minimal number of calculation operations. A theorem of the convergence of the proposed calculation scheme to the problem solution is proven. The rate of the convergence of the proces is estimated. Its realization is illustrated on an example.

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