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A version of the Levenberg–Marquardt algorithm for solving a non-linear least squares problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 10, pp. 1444-1451 Cet article a éte moissonné depuis la source Math-Net.Ru

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     title = {A version of the {Levenberg{\textendash}Marquardt} algorithm for solving a non-linear least squares problem},
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K. V. Penzin. A version of the Levenberg–Marquardt algorithm for solving a non-linear least squares problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 10, pp. 1444-1451. http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_10_a1/

[1] Levenberg K., “A method for the solution of certain nonlinear problems in least squares”, Quart. Appl. Math., 1944, no. 2, 164–168 | MR | Zbl

[2] Marquardt D. W., “An algorithm for least squares estimation of nonlinear parameters”, SIAM J. Appl. Math., 11 (1963), 431–441 | DOI | MR | Zbl

[3] More J. J., “The Levenberg-Marquardt algorithm: Implementation and theory”, Lect. Notes Math., 630, 1978, 105–116 | MR | Zbl

[4] Dennis Dzh., Shnabel R., Chislennye metody bezuslovnoi optimizatsii i resheniya nelineinykh uravnenii, Mir, M., 1988 | MR | Zbl

[5] Khauskholder A. S., Osnovy chislennogo analiza, Izd-vo inostr. lit., M., 1956

[6] Uilkinson Dzh., Rainsh C., Spravochnik algoritmov na yazyke Algol, Mashinostr., M., 1976

[7] Hebden M. D., An algorithm for minimization using exact second derivatives, Rept. TP515, Atomic Energy Res. Establishment, Harwell, England, 1973