Geodesic
Nonlinear inverse problems of vibrational spectroscopy
Numerical methods and programming, Tome 25 (2024) no. 5, pp. 62-81.

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The review presents the main mathematical results necessary for processing vibrational spectroscopy data and calculating molecular force fields within the framework of the theory of regularization of nonlinear ill-posed problems in the joint analysis of data obtained by vibrational spectroscopy and other structural methods using the results of quantum mechanical calculations.
Keywords: ill-posed inverse problems. 
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     author = {G. M. Kuramshina and A. G. Yagola},
     title = {Nonlinear inverse problems of vibrational spectroscopy},
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     year = {2024},
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}
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G. M. Kuramshina; A. G. Yagola. Nonlinear inverse problems of vibrational spectroscopy. Numerical methods and programming, Tome 25 (2024) no. 5, pp. 62-81. http://geodesic.mathdoc.fr/item/VMP_2024_25_5_a4/