查询词典 monotone sequence

In elliptic case,the compactness of"convex polyhedrons"is destinedto be true because of the"local Lipschitz continuity of convex functions",whilein parabolic case,we cannot expect convex-monotone functions have such goodproperties as convex functions.

在广义解存在性的证明中，参考椭圆情形由"凸多面体"逼近的思想，我们采用了由一种特殊构造的"凸单调多面体"逼近的途径，但在证明这种凸单调多面体族的紧性时，我们遇到了困难。

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。。。

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。

Aiming at the engineering application of the two-layer fuzzy integration, we established the concepts of "two-layer measurable function on domain" and "two-layer measurable function for the monotone class".

针对二重模糊积分工程实用化，建立了备域上二重可测函数、单调类上二重可测函数的概念。

Warden: That's a beautiful dog, but don't bring her again.

那是条漂亮的狗，但是不要再把她带来了。

You get up in the morning – no hangover!

你第二天早上起来的时候—不会宿醉！