【摘要】 对非线性无约束规划提出了结合广义Armijo步长搜索规则的一类带误差项的记忆梯度求解算法,在目标函数梯度一致连续的条件下,证明了算法的全局收敛性,同时给出带误差项的结合拟-Newton方程的记忆梯度算法。数值结果表明算法是有效的。更多还原

【Abstract】 A new class of memory gradient methods with errors and generalized Armijo step size rule were proposed for nonlinear unconstrained optimization assuming that the gradient of the function is uniformly continuous.Its global convergence property was proved.And a novel memory gradient method with quasi-Newton method and errors was given.Numerical results show that the new methods are efficient.更多还原