CAJ | 학술논문

在本文中,我们提出了一种新的带扰动项的三项记忆梯度混合投影算法.在这种方法中应用了广义Armijo线搜索,并且仅在梯度函数在包含迭代序列的开凸集上一致连续的条件下证明了该算法的全局收敛性.最后给出了几个数值算例.
재본문중,아문제출료일충신적대우동항적삼항기억제도혼합투영산법.재저충방법중응용료엄의Armijo선수색,병차부재제도함수재포함질대서렬적개철집상일치련속적조건하증명료해산법적전국수렴성.최후급출료궤개수치산례.
A new kind of method which is called three-term memory gradient hybrid projection method with perturbations is proposed.And the generalized Armijo line search is used in this method.At the same time,global convergence property of the method is proved only in the case where the gradient function is uniformly continuous on an open convex set containing the iteration sequence.Numerical examples are given at the end of this paper.