【摘要】 利用等价转化把非线性不等式组转化为非线性方程组来加以求解,通过引进光滑参数构造一个新的光滑函数来逼近方程组问题中的目标函数,给出了相应的求解非线性方程组的光滑阻尼Gauss-Newton算法,并在一定条件下证明了该算法的整体收敛性.更多还原

【Abstract】 In the paper,we studied the solving method of nonlinear inequalities.A new smoothing function was structured for the merit function,and a globally convergent damped Gauss-Newton method for solving nonlinear inequalities was proposed based on its equivalent nonlinear equations.And the global convergence of the method was verified under appropriate assumption.更多还原