Geodesic
Newton's method for solving equilibrium problems
Numerical methods and programming, Tome 7 (2006) no. 3, pp. 202-210 Cet article a éte moissonné depuis la source Math-Net.Ru

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A regularized Newton's method is proposed for solving unstable equilibrium problems in the case when the corresponding objective function is inaccurately specified. The convergence of this method is analyzed and a regularizing operator is constructed.
Keywords: equilibrium programming, regularization, Newton's method, numerical methods of optimization, linear programming. 
@article{VMP_2006_7_3_a0,
     author = {A. S. Antipin and F. P. Vasil'ev and A. S. Stukalov and M. Ja\'cimovi\'c},
     title = {Newton's method for solving equilibrium problems},
     journal = {Numerical methods and programming},
     pages = {202--210},
     year = {2006},
     volume = {7},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2006_7_3_a0/}
}
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A. S. Antipin; F. P. Vasil'ev; A. S. Stukalov; M. Jaćimović. Newton's method for solving equilibrium problems. Numerical methods and programming, Tome 7 (2006) no. 3, pp. 202-210. http://geodesic.mathdoc.fr/item/VMP_2006_7_3_a0/