Régression vectorielle multiple à l'aide d'une généralisation multi-dimensionnelle de l'algorithme de Gauss-Newton
Statistique et analyse des données, Volume 13 (1988) no. 3, p. 1-13
@article{SAD_1988__13_3_1_0,
     author = {Antoniadis, Anestis and Berruyer, Jacques},
     title = {R\'egression vectorielle multiple \`a l'aide d'une g\'en\'eralisation multi-dimensionnelle de l'algorithme de Gauss-Newton},
     journal = {Statistique et analyse des donn\'ees},
     publisher = {Association pour la statistique et ses illustrations},
     volume = {13},
     number = {3},
     year = {1988},
     pages = {1-13},
     language = {fr},
     url = {http://www.numdam.org/item/SAD_1988__13_3_1_0}
}
Antoniadis, Anestis; Berruyer, Jacques. Régression vectorielle multiple à l'aide d'une généralisation multi-dimensionnelle de l'algorithme de Gauss-Newton. Statistique et analyse des données, Volume 13 (1988) no. 3, pp. 1-13. http://www.numdam.org/item/SAD_1988__13_3_1_0/

[1] Aitken, A. C. On least squares and linear combination of observations, Proc. Roy. Soc. Edin., (1935), Vol. 55, pp. 42. | Zbl 0011.26603

[2] Ball, W. E. et Groenweghe, L. C. D. Determination of best-fit rate constants in chemical kinetics, Ind. & Eng.Chem.Fundamentals, (1966), Vol. 5, pp. 181.

[3] Bard, Y. Nonlinear parameter estimation, Academic Press, 1974. | MR 326870 | Zbl 0345.62045

[4] Bates, D. M. The derivative of |X'X| and its uses, Technometrics, (1983), Vol. 25, pp. 373-376. | Zbl 0518.62063

[5] Bates, D. M. et Watts, D. G. A relative offset orthogonality criterionfor nonlinear least squares, Technometrics, (1981), Vol. 23, pp. 179-183. | Zbl 0465.62056

[6] Box, G. E. P. et Draper, N. R. Bayesian estimation of common parameters from several responses, (1965), Biometrika, Vol. 52, pp. 355-365. | MR 210220 | Zbl 0152.17602

[7] Box, G. E. P., Hunter, W. G, Macgregor, J. F. et Erjavec, J. Some Problems Associated with the Analysis of Multiresponse Data, (1965), Biometrika, Vol. 52, pp. 355-365. | Zbl 0152.17602

[8] Eakman, J. M. Strategy for estimation of rate constants from Isothermal reaction data, (1969), Ind. & Eng.Chem.Fundamentals, Vol. 8, pp. 53-58.

[9] Erjavec, J. Strategy for estimation of rate constants from Isothermal reaction data, (1970), Ind. & Eng.Chem. Fundamentals, Vol. 9, pp. 187-191.

[10] Gill, P. E. et Murray, W. Newton-type methods for unconstrained and lintarly consirained optimization, (1974), Mathematical Programming, Vol. 7, pp. 311-350. | MR 356503 | Zbl 0297.90082

[11] Golub, G. H. et Pereyra, V. The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate, (1973), SIAM J. Numer. Anal., Vol. 10, pp. 413-432. | MR 336980 | Zbl 0258.65045

[12] Laugier, J. et Filhol, A. An interactive program for the interpretation and simulation of Laue Patterns, (1983), J. Appl. Cryst, Vol. 16, pp. 281-283.

[13] Marchesi, M. et al. Minimizing multimodal functions of continuous variables with the simulated annealing algorithm, (1987), ACM Trans. Math. Software, Vol. 13, pp. 262-280. | MR 918580 | Zbl 0632.65075