Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

A method for selection of the initial approximation in the solution of inverse spectral problems

  • 10 Accesses

This is a preview of subscription content, log in to check access.

Literature cited

  1. 1.

    M. A. Sverdlov, M. A. Kovner, and E. P. Krainov, The Vibrational Spectra of Polyatomic Molecules [in Russian], Nauka, Moscow (1970).

  2. 2.

    L. S. Mayants, Theory and Computation of Molecular Vibrations [in Russian], Nauka, Moscow (1960).

  3. 3.

    D. Popousek and I. Pliva, Collection Czechoslov. Chem. Commun.,28, No. 4, 755–775 (1963).

  4. 4.

    R. G. Snyder and J. H. Schochtschneider, Spectrochlm. Acta,21, No. 1, 169–183 (1965).

  5. 5.

    K. M. Grushetskii and A. A. Akhrem, Dokl. Akad. Nauk BSSR,25, No. 4, 309–310 (1981).

  6. 6.

    G. Davidson and D. A. Duce, J. Molec. Struct.,48, No. 1, 87–92 (1978).

  7. 7.

    R. Rousson, G. Tantot, and M. Tournaril, J. Molec. Spectrosc.,59, No. 1, 1–7 (1976).

  8. 8.

    J. M. Freeman and T. Henshall, J. Molec. Spectrosc.,25, No. 1, 101–108 (1968).

  9. 9.

    V. P. Novikov and A. I. Malyshev, Zh. Prikl. Spektrosk.,33, No. 3, 545–549 (1980).

  10. 10.

    A. N. Tikhonov and V. Ya. Arsenin, Methods for the Solution of Improper Problems [in Russian], Nauka, Moscow (1979).

  11. 11.

    M. Parodi, Localization of the Characteristic Numbers of Matrices and Its Application [Russina translation], IL, Moscow (1969).

  12. 12.

    S. N. Chernikov, Linear Inequalities [in Russian], Nauka, Moscow (1968).

  13. 13.

    M. V. Vol'kenshtein, L. A. Gribov, M. A. El'yashevich, and B. I. Stepanov, The Vibration of Molecules [in Russian], Nauka, Moscow (1972).

Download references

Additional information

Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 40, No. 3, pp. 418–421, March 1984.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Grushetskii, K.M. A method for selection of the initial approximation in the solution of inverse spectral problems. J Appl Spectrosc 40, 302–304 (1984). https://doi.org/10.1007/BF00661517

Download citation

Keywords

  • Analytical Chemistry
  • Molecular Structure
  • Initial Approximation
  • Spectral Problem
  • Inverse Spectral Problem