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摘要
The least l(2)-norm solution for a possibly inconsistent system of nonlinear inequalities is studied in this paper. By introducing a new smoothing function, the problem is approximated by a family of parameterized optimization problems with twice continuously differentiable objective functions. Then a smoothing Levenberg-Marquardt method is applied to solve the parameterized optimization problems. The global convergence of the proposed method is established under suitable assumptions.
