HE Yu-bo, LIN Xiao-yan. On the Convergence of Trust Region Method With Dogleg Step for Nonlinear Inequalities Systems[J]. Applied Mathematics and Mechanics, 2013, 34(11): 1216-1224. doi: 10.3879/j.issn.1000-0887.2013.11.011
 Citation: HE Yu-bo, LIN Xiao-yan. On the Convergence of Trust Region Method With Dogleg Step for Nonlinear Inequalities Systems[J]. Applied Mathematics and Mechanics, 2013, 34(11): 1216-1224.

# On the Convergence of Trust Region Method With Dogleg Step for Nonlinear Inequalities Systems

##### doi: 10.3879/j.issn.1000-0887.2013.11.011
• Rev Recd Date: 2013-06-19
• Publish Date: 2013-11-15
• The solutions of a class of nonlinear inequalities were studied.The nonlinear inequalities were approximated by a family of parameterized optimization problems with twice continuously differentiable objective functions, then a smoothing trust region method with dogleg steps was applied to solve the parameterized optimization problems.The global convergence of the proposed method was established under some weak conditions. Numerical results show that the method performs well.
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