A general algorithm to solve linear and nonlinear inverse problems

Journal of the Brazilian Chemical Society

Volumn 18, Issue 7, 2007, Pages 1342-1347

  Lemes, N H T ^a   Borges, E ^a   Braga, J P ^a  

^a FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

Author keywords

Chemical kinetics; Inverse problems; Neural networks; Positron lifetime spectroscopy; Vibrational spectroscopy

Indexed keywords

EID: 36949039948     PISSN: 01035053     EISSN: 16784790     Source Type: Journal    
DOI: 10.1590/S0103-50532007000700008     Document Type: Article

References (18)

1. Tikhonov, A. N.; Arsénine,V.; Méthodes de Résolution de Problèmes Mal Posés, Mir, Moscow, 1974.
2. Laidler, K. J.; Chemical Kinetics, Benjamin Cummings: San Francisco, 1977.
3. Yagola, A. G.; Kochikov, I. V.; Kuramshina, G. M.; Pentin, Yu. A.; Inverse Problems of Vibrational Spectroscopy, Brill Academic Publishers: Utrecht, 1999.
4. Golub,G. H.; Van Loan, C. F.; Matrix Computations, John Hopkins University Press: Baltimore, 1989.
5. Hopfield, J. J.; Proc. Natl. Acad. Sci. 1982, 79, 2554.
6. Viterbo, V. C.; Braga, J. P.; Braga, A. P.; Almeida, M. B.; J. Chem. Inf. Comput. Sci. 2001, 41, 309.
7. Braga, J. P.; J. Math. Chem. 2001, 29, 151.
8. Sebastião, R. C. O.; Lemes, N. H. T.; Virtuoso, L. S.; Braga, J. P.; Chem. Phys. Lett. 2003, 378, 406.
9. Vemuri, V.; Jang, G. S.; J. Franklin Inst. 1992, 329, 241.
10. Neves, J. L.; Braga, J. P.; Braga, A. P.; de Almeida, M. B.; Inverse Probl. Eng. 2002, 10, 153.
11. Viterbo, V. C.; Sebastião, R. C. O.; Monteiro, R. P. G.; Magalhães, W. F.; Braga, J. P.; J. Braz. Chem. Soc. 2005, 16, 93.
12. Sebastião, R. C. O.; Braga, J. P.; J. Magn. Reson. 2005, 177, 146.
13. Borges, E.; Lemes, N. H. T.; Braga, J. P.; Chem. Phys. Lett. 2006, 423, 357.
14. Forsythe, G. E.; Malcolm, M. A.; Moler, C. B.; Computer Methods for Mathematical Computations, Prentice-Hall: New Jersey, 1977.
15. Vakhtin, A. B.; Int. J. Chem. Kinet. 1996, 28, 443.
16. Tang, W.; Zhang, L.; Linninger, A. A.; Tranter, R. S.; Brezinsky, K.; Ind. Eng. Chem. Res. 2005, 44, 3626.
17. Wilson, E. B.; Decius, J. C.; Cross, P. C.; Molecular Vibrations, The Theory of Infrared and Raman Vibrational Spectra, McGraw-Hill Book Company: New York, 1955.
18. Chambers, H. F.; Kirk, R. W.; Thompson, J. H.; Warner, M. J.; Willt, P. M.; J. Mol. Spectrosc. 1975, 58, 76.