A new smoothing and regularization Newton method for the symmetric cone complementarity problem
Journal of Applied Mathematics and Computing(2016)
摘要
Based on a regularized Chen–Harker–Kanzow–Smale (CHKS) smoothing function, we propose a new smoothing and regularization Newton method for solving the symmetric cone complementarity problem. By using the theory of Euclidean Jordan algebras, we establish the global and local quadratic convergence of the method on certain assumptions. The proposed method uses a nonmonotone line search technique which includes the usual monotone line search as a special case. In addition, our method treats both the smoothing parameter μ and the regularization parameter ε as independent variables. Preliminary numerical results are reported which indicate that the proposed method is effective.
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关键词
Symmetric cone complementarity problem, Smoothing Newton method, Regularization method, Euclidean Jordan algebra, 90C33, 65K05
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