1. Moré, J. J., B. S. Gabow, and K. E. Hillstrom, "Testing unconstrained optimization software," ACM Trans. Math. Soft., Vol. 7, 17-41, 1981.        Google Scholar

2. Lions, J. L., Controle optimal des systèmes gouvernés par des équations aux dérivées partielles, Dunod, Gauthier Villars, Paris, 1968.

3. Roger, A., "Reciprocity theorem applied to the computation of functional derivatives," Electromagnetics, Vol. 2, 69-83, 1982.        Google Scholar

4. Levy, A. V. and S. Gomez, "The tunneling algorithm for the global optimization problem of constrained functions,", Technical Report, Universidad National de México, 1980.        Google Scholar

5. Rinnooy Kan, A. H. G. and G. T. Tirnmer, "Stochastic Global Optimization methods: Clustering methods," Mathematical Programming, Vol. 39, 27-56, 1987.        Google Scholar

6. Kirkpatrick, S., C. D. Crelatt, and M. P. Vecchi, "Optimization by simulated annealing," Science, Vol. 220, 671-680, 1983.        Google Scholar

7. Fiacco, A. V. and G. P. McCormick, Non Linear Programming: Sequential Unconstrained Minimization Techinques, John Wiley, New York, 1968.

8. Sarkar, T. K., X. Yang, and E. Arvas, "A limited survey of various conjugate gradient methods for solving complex matrix equations arising in Electromagnetic Wave Interaction," Wave Motion, Vol. 10, 527-546, 1988.        Google Scholar

9. Tijhuis, A. G., "Born-type reconstruction of material parameters of an inhomogeneous lossy dielectric slab from reflected field data," Wave Motion, Vol. 11, 151-173, 1989.        Google Scholar

10. Kennett, B. L. N. and P. R. Williamson, "Subspace methods for large-scale non linear inversion," Mathematical Geophysics, 139-154, Reidel Publishing Co., 1988.        Google Scholar

11. D'Aboville, O., "Etude et mise en oeuvre d'un parallelisme multitache en sismique numerique,", Ph.D. dissertation, 1987.        Google Scholar

12. Hestesnes, M. and E. Stiefel, "Method of conjugate gradient for solving linear systems," J. Res. Nut. Standards, Vol. 49, 409-436, 1952.        Google Scholar

13. Fletcher, R. and C. M. Reeves, "Function minimization by conjugate gradients," Computer Journal, Vol. 7, 149-154, 1964.        Google Scholar

14. Polack, E., Computational Methods in Optimization, a Unified Approach, Academic Press, New York, 1971.

15. Van den Berg "Iterative computational techniques in scattering based on the integrated squared error criterion," IEEE Trans. Antennas Propagat., Vol. 32, 1063-1071, 1984.        Google Scholar

16. Roger, A., "Newton Kantorovich algorithm applied to an electromagnetic inverse problem," IEEE Trans. Antennas Propagat., Vol. 29, 232-238, 1981.        Google Scholar

17. Powell, M. J. D., "Convergence properties of a class of Minimization Algorithms," Non Linear Programming, Vol. 2, Academic Press, New York, 1975.        Google Scholar

18. Broyden, C. G., "A class of methods for solving non linear simultaneous equations," Math Comp., Vol. 19, 577-593, 1965.        Google Scholar

19. Buckley, A. and A. Lenir, "QN-like variable storage Conjugate Gradient," Mathematical Programming, 1982.        Google Scholar

20. Sorensen, D. C., "Newton's method with a model trust region modification," SIAM J. Numer. Anal., Vol. 19, 409-426, 1982.        Google Scholar

21. Moré, J. J., "Recent developments in Algorithms and Software for trust Region methods," Mathematical Programming: the state of the art, 258-287, Springer, 1982.        Google Scholar

22. Roger, A., P. Terpolilli, and O. Gosselin, "Trust region methods for seismic inverse problems," World Scientific, 93-103, Singapore, 1989.        Google Scholar

23. Shultz, G. A., R. B. Schnabel, and H. R. Byrd, "A family of Trust Region based algorithms for unconstrained minimization with strong global convergence properties," Siam J. Numer. Anal., Vol. 22, 47-67, 1985.        Google Scholar

24. Terpolilli, P. and A. Roger, "Trust Region strategies with Quasi-Newton schemes," New Methods in Optimization and their Industrial Uses, ISNM, Vol. 87, Birkhauser, 1989.        Google Scholar

25. Levenberg, K., "A method for the solution of certain non linear problems in least squares," Quart. Appl. Math., Vol. 2, 164-168, 1944.        Google Scholar

26. Marquardt, D. W., "An algorithm for least squares estimation of non linear parameters," SIAM J. Appl. Math., Vol. 11, 434-441, 1963.        Google Scholar

27. Zangwill, W. L., Non Linear Programming: A Unified Approach, Prentice Hall, 1969.

28. Goldstein, A. A., Constructive Real Analysis, Harper, New York, 1967.

29. Wolfe, P., "Convergence conditions for ascent methods," S.I.A.M. Review, Vol. 11, 226-235, 1969.        Google Scholar

30. Powell, M. J. D., "Some global convergence properties of a variable metric algorithm for minimization without exact line searches," Non Linear Programming, SIAM-AMS Proceedings 9, Providence, R.I., 1976.        Google Scholar

31. Luenberger, D. G., Introduction to Linear and Nonlinear Programming, Addison Wesley, 1973.

32. McCormick, G. P. and K. Ritter, "Alternative proofs of the convergence Properties of the Conjugate Gradient Method," J. Optimization Theory and Appl., Vol. 13, 497-515, 1974.        Google Scholar

33. Dennis, J. E. and J. J. Moré, "A characterization of superlinear convergence and its application to Quasi-Newton methods," Mathematics of Computation, Vol. 28, 549-560, 1974.        Google Scholar

34. Galan-Malaga, H., D. Lesselier, and W. Tabbara, "Dipole approximations applied to the inverse problem in boreholes: a numerical study," Wave Motion, Vol. 11, 137-150, 1989.        Google Scholar

35. Gill, P. E., W. Murray, and M. H. Wright, Practical Optimization, Academic Press, London, 1981.

36. Roger, A. and M. Baribaud, "Optimization and the time-dependent inverse problem," Optique Hertzienne et Diélectriques Meeting, 1989.        Google Scholar

37. Roger, A., "Convergence et Stabilité en Sismique inverse," Rapport Elf-Aquitaine, No. 89-445, 1989.        Google Scholar

38. Roger, A., D. Maystre, and M. Cadilhac, "On a problem of inverse scattering in Optics: the dielectric inhomogeneous medium," J. Optics, Vol. 9, 83-90, 1978.        Google Scholar

39. Tijhuis, A., Electromagnetic Inverse Profiling, VNU Science Press, Utrecht, 1987.

40. Hiebert, K. L., "An Evaluation of Mathematical Software That Solves Nonlinear Least Squares Problems," ACM Trans. Mathematical Software, Vol. 7, No. 1, 1-16, 1981.        Google Scholar

41. Gay, D. M., "Subroutines for Unconstrained Minimization using a model/Trust Region Approach," ACM Trans. Mathematical Software, Vol. 9, No. 4, 503-524, 1983.        Google Scholar

42. Montarnal, A., "Mise en oeuvre d'une batterie de tests pour algorithmes de minimisation sans contrainte," Elf-Aquitaine Report, No. 87-752, 1987.        Google Scholar

43. Hasselot, C. and V. Millet, "Confrontation de divers algorithmes d'optimisation,", D.E.S.S., University of Pau, 1987.        Google Scholar

44. Gosselin, O., A. Roger, P. Terpolilli, and J. P. Penot, "Problèmes d'identification: un algorithme robuste et efficace," Congrès National d'Analyse Numérique, 1988.        Google Scholar

45. Holberg, O., "Computational aspects of the choice of operator and sampling interval for numerical differentiation in large-scale simulation of wave phenomena," Geophysical Prospecting, Vol. 37, 629-655, 1987.        Google Scholar

46. Kolb, P. and G. Canadas, "Least squares inversion of prestack data: simultaneous identification of density and velocity of stratified media," 56th Annual SEG Meeting, Houston, 1986.        Google Scholar

47. Jannane, H. N., "The wavelengths of the earth structures that we can resolve from seismic reflection data," ETG Report, Vol. 8, 2.1-2.18, 1987.        Google Scholar

48. Richard, V., "High resolution stratigraphic extrapolation: a 1-D inverse problem," 48th E.A.E.G. meeting, Ostend, 1986.        Google Scholar

49. Chapel, F., P. Kolb, and G. Canadas, "CMP non linear inversion in (τ, p) domain," 59th Annual SEG Meeting, Houston, 1989.        Google Scholar

50. Symes, W. W., "Velocity inversion by coherency optimization," 58th Annual SEG Meeting, Anaheim, 1988.        Google Scholar

51. Howard, A. Q. Jr., "Induction logging for vertical structures in the presence of a borehole fluid," Geophys, Vol. 46, No. 1, 68-75, 1981.        Google Scholar

52. Roger, A., E. Toro, and D. Maystre, Contract Schlumberger-Aix Marseille III, 1984.

53. Rumsey, V. H., "Reaction concept in Electromagnetic Theory," Phys. Rev., Vol. 94, No. 6, 1483-1491, 1954.        Google Scholar

54. Maystre, D., A. Roger, and E. Toro, "Inverse scattering on electromagnetic measurements in a stratified medium," Revue Phys. Appl., Vol. 20, 815-821, 1985.        Google Scholar