monotone convergence meaning in English
单调收敛
Examples
- Sufficient conditions are obtained for the existence of bounded positive solutions of the n - order delay differential equations with nonlinear neutral term , on the basis of lebesgue ' s monotone convergence theorem and banach contraction theorem
摘要利用控制收敛定理和压缩映射原理研究了一类具非线性中立项时滞微分方程有界正解的存在性，获得了其存在有界正解的充分条件。 - 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。