Geodesic
Conjugate gradient method for systems of nonlinear equations
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms, Tome 70 (1977), pp. 178-183

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One presents an iteration method for solving nonlinear algebraic systems, based on the ideas of the conjugate gradient method. One proves the convergence of the method and one obtains estimates for the rate of convergence. 
@article{ZNSL_1977_70_a11,
     author = {G. V. Savinov},
     title = {Conjugate gradient method for systems of nonlinear equations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {178--183},
     publisher = {mathdoc},
     volume = {70},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_70_a11/}
}
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G. V. Savinov. Conjugate gradient method for systems of nonlinear equations. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms, Tome 70 (1977), pp. 178-183. http://geodesic.mathdoc.fr/item/ZNSL_1977_70_a11/