A projection method for a system of nonlinear monotone equations with convex constraints
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Bellavia S, Macconi M, Morini B (2003) An affine scaling trust-region approach to bound- constrained nonlinear systems. Appl Numer Math 44:257–280
Calamai PH, Moré JJ (1987) Projected gradient methods for linearly constrained problems. Math Program 39(1):93–116
El-Hawary ME (1996) Optimal power flow: solution techniques, requirement and challenges. IEEE Service Center, Piscataway
Gabriel SA, Pang JS (1994) A trust region method for constrained nonsmooth equations. In: Hager WW, Hearn DW, Pardalos PM (eds) Large scale optimization—state of the art. Kluwer, Dordrecht, pp 155–181
Gafni EM, Bertsekas DP (1984) Two-metric projection methods for constrained optimization. SIAM J Control Optim 22(6):936–964
Han DR (2003) A new hybrid generalized proximal point algorithm for variational inequality problems. J Global Optim 26:125–140
Kanzow C, Yamashita N, Fukushima M (2004) Levenberg–Marquardt methods for constrained nonlinear equations with strong local convergence properties. J Comput Appl Math 172: 375–397
Maranas CD, Floudas CA (1995) Finding all solutions of nonlinearly constrained systems of equations. J Global Optim 7(2):143–182
Solodov MV, Svaiter BF (1998) A globally convergent inexact Newton method for systems of monotone equations. In: Fukushima M, Qi L (eds) Reformulation: piecewise smooth, semismooth and smoothing methods. Kluwer, Holanda, pp 355–369
Solodov MV, Svaiter BF (1999) A new projection method for variational inequality problems. SIAM J Control Optim 37(3):765–776
Tong XJ, Qi L (2004) On the convergence of a trust-region method for solving constrained nonlinear equations with degenerate solution. J Optim Theory Appl 123:187–211
Wang YJ, Wang CY, Xiu NH (2002) A family of supermemory gradient projection methods for constrained optimization. Optimization 51(6):889–905
Wang YJ, Xiu NH, Zhang JZ (2003) Modified extragradient method for variational inequalities and verification of solution existence. J Optim Theory Appl 119:167–183
Wood AJ, Wollenberg BF (1996) Power generations, operations, and control. Wiley, New York
Xiu NH, Zhang JZ (2003) Some recent advances in projection-type methods for variational inequalities. J Comput Appl Math 152(1/2):559–585
Yamashita N, Fukushima M (2001) On the rate of convergence of the Levenberg–Marquardt method. Computing 15(Suppl):237–249
Yamashita N, Fukushima M (1997) Modified Newton methods for solving a semismooth reformulation of monotone complementarity problems. Math Program 76:469–491