Geodesic
A reduced linearization method for solving problems of nonlinear optimization
Numerical methods and programming, Tome 13 (2012) no. 3, pp. 440-442.

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An approach to solving a problem of optimization with constraints is proposed. An algorithm based on a synthesis of such methods as the separation of variables, the dimension reduction, and the method of reducing the original problem to an auxiliary one. A number of applicability conditions for this algorithm and a convergence theorem are formulated.
Keywords: problems of nonlinear optimization; linearization method; linear constraints; reduces gradient method; linear convergence. 
@article{VMP_2012_13_3_a8,
     author = {S. V. Panferov},
     title = {A reduced linearization method for solving problems of nonlinear optimization},
     journal = {Numerical methods and programming},
     pages = {440--442},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2012_13_3_a8/}
}
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S. V. Panferov. A reduced linearization method for solving problems of nonlinear optimization. Numerical methods and programming, Tome 13 (2012) no. 3, pp. 440-442. http://geodesic.mathdoc.fr/item/VMP_2012_13_3_a8/