Abstract
Perturbations of the known solutions of the inverse problem of parameters localization and determination for a point magnetostatic dipole are analyzed in the presence of errors in the initial data: the magnetic-induction vector and the tensor of first spatial derivatives of the magnetic field. On the basis of perturbation theory for the eigenvalues of real symmetric matrices, analytical estimates are obtained for the upper bounds of perturbation of the solutions. The results of analytical consideration are confirmed and complemented by digital modeling of solutions of the inverse problem in conditions of uniform and normal error distribution in the initial data.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 17–22, June, 1985.
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Zaionchkovskii, A.Y., Semenov, V.G. & Simonov, A.Y. Perturbation of the solution of the inverse problem for a magnetostatic dipole by errors in the initial data. Soviet Physics Journal 28, 452–455 (1985). https://doi.org/10.1007/BF00900369
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DOI: https://doi.org/10.1007/BF00900369