查询词典 monotone decreasing function

The local and global convergence properties of non- monotone adaptive trust region method are proved under favorable conditions.

在适当的条件下证明了非单调自适应信赖域法的局部及全局收敛性质。

The central problem associated with the maximal monotone operator is finding zeros of it.

求解极大单调算子的零点是极大单调算子理论的核心问题之一。

The theory of maximal monotone operator is one of the most importance successes in the area of nonlinear analysis.

极大单调算子理论是非线性分析领域的有效工具之一，已被广泛应用于非线性偏微分方程、非线性积分方程、控制论、最优化理论等学科，在物理学、经济。。。

By using hybrid projection method,a new iteration sequence of maximal monotone operator with errors is given in Banach space.

在Banach空间中，采用杂交投影的方法构造了带误差项的极大单调映像零点的迭代算法，利用Lyapunov泛函和杂交投影的性质，证明了该算法的强收敛性。

The methods split the operator to the sum of two maximal monotone operator and in each iteration one has to compute the resolvent of one of the operators.

针对此问题，求解极大单调算子的零点的另一个常用算法-分裂算法，将原来的算子分裂为两个算子之和，在每一步迭代中，只需求出其中一个算子的预解式。

One of the classical method of the problem of finding zeros of maximal monotone operator is proximal point algorithm, which solve the problem by solving a series well-conditioned sub-problems.

1我们首先给出投影松弛邻近点算法，用来求解给定区域内的零点，其每一步迭代可以是不精确的。

The theory of maximal monotone operator is one of the most importance successes in the area of nonlinear analysis. It provides a powerful general framework for the study of nonlinear partial differential equations, nonlinear integral equations, control theory, optimization. Practically, it has be applied abroad in physics, economics and engineering.

极大单调算子理论是非线性分析领域的有效工具之一，已被广泛应用于非线性偏微分方程、非线性积分方程、控制论、最优化理论等学科，在物理学、经济学、工程学等应用学科也有着广泛的应用。

We construct some new iterative algorithms with errors for solving these generalized fuzzy variational inclusions by using the resolvent operator technique for maximal η-monotone mappings and prove the convergence of iterative sequences generated by the algorithms.

为了利用η-极大单调映象的预解算子技巧求解这类广义模糊变分包含，我们建立了一些新的含误差的迭代算法，并证明了由这类算法产生的迭代序列的收敛性。

The problem that under what conditions the - resolvent operator of a maximal TJ - monotone set-valued mapping is a Lipschitz continuous single-valued mapping on whole space, which also answers the open problem mentioned above, is studied on finite dimensional Euclidean spaces.

借助于图收敛理论证明了有限维欧氏空间中的两个极大单调集值映射的和映射在较弱条件下仍是极大单调集值映射，并在此基础上讨论了一般集值变分包含问题解集的凸性、闭性和有界性。

By employing the approaches for upper and lower solutions and monotone iterative technique, the authors have obtained the sufficient conditions for the existence of coupled maximal solution and minimal solution.

通过上下解方法和单调迭代技术得到了边值问题存在耦合极大解β-和极小解α-的充分条件。

The small blue capacitor has very high chances to go fully shorted compare to electrolytic capacitor which is very rare.

小蓝电容器具有很高的机会去充分地缩短了比较电解电容器，这是非常罕见的。

In the Italian campaigns of 1513 and 1515, when the Swiss won the victories of Novara and Marignan, he acted as army chaplain.

在意大利的运动， 1513年和1515年，当瑞士赢得了胜利，诺瓦拉和marignan ，他担任军队的牧师。