Geodesic
A two-step Levenberg--Marquardt method with consideration of prior
Numerical methods and programming, Tome 12 (2011) no. 1, pp. 28-33.

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A new two-step Levenberg–Marquardt-type method for the minimization of the residual function with consideration of prior comparative information on the values of identifiable parameters is proposed. The efficiency of this method is shown by an example of solving several model problems of the hydraulic conductivity identification for a three-dimensional confined aquifer.
Keywords: minimization of residual functions; inverse problem; prior information. 
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     author = {A. V. Elesin and A. Sh. Kadyrova and P. A. Mazurov},
     title = {A two-step {Levenberg--Marquardt} method with consideration of prior},
     journal = {Numerical methods and programming},
     pages = {28--33},
     publisher = {mathdoc},
     volume = {12},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2011_12_1_a2/}
}
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A. V. Elesin; A. Sh. Kadyrova; P. A. Mazurov. A two-step Levenberg--Marquardt method with consideration of prior. Numerical methods and programming, Tome 12 (2011) no. 1, pp. 28-33. http://geodesic.mathdoc.fr/item/VMP_2011_12_1_a2/