单调收敛性 meaning in English

monotonic convergence

First , we consider an additive schwarz algorithm for the solution of ax 4 - f ( x ) 0 , x when coefficient a is an m - matrix and f ' ( x ) 0 . by applying the theory of weak regular splitting of matrices to the above considered algorithm , we obtain the weighted max - norrn bound for iterations . moreover , under the assumption that f ( x ) is concave , we establish monotone convergence of the considered algorithm
本文内容如下：首先，应用加性schwarz算法求解非线性互补问题，其中a是m阵，应用弱分解理论，我们获得了在加权范数意义下误差的几何收敛速度，在f ( x )是凹函数的假设下我们还获得了此算法的单调收敛性，同时我们给出此算法的一种修改算法，无需前面的假设，该算法具有单调收敛性。