弱收敛

In the second chapter,we study the convergence of two points Secant method and single point Secant method under the condition of the radius Lipschitz condition with the L average.

在第二章中，我们研究了两点弦截法和单点弦截法在关于L平均的弱Lipschtiz条件下的收敛性。

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。

In particular, the solution obtained by the proposed algorithm is shown to be a maximally complementary solution to the NCP concerned.

在全局收敛性假设相对较弱的条件下，所提出的算法能够得到问题的极大互补解。

Moreover, the updated matrix sequence is a symmetric positive definite matrix sequence.

在较弱的条件下，我们证明了算法的全局收敛性。

In Chapter 5, the authors study the convergence properties of the gradient projection method for the constrained optimization problem. In this chapter, a new step-size rule, which avoids fulfiling the classical line search and includes choosing a constant as the step size as a special case, is presented and analyzed.

第五章研究了求解约束最优化问题的梯度投影方法，在步长的选取时采用了一种新的策略，这种策略不需要进行传统的线搜索且包含步长取常数这种特例，在较弱的条件下，证明了梯度投影方法的全局收敛性。

In Section 2 of Chapter 1, we develop the SDA algorithm from a new point of view and show its quadratic convergence under assumptions which are weaker than stabilizability and detectability.

并且我们可在比可稳定化与可侦测化更弱的假设条件下，更进一步证明此一保结构算法的二次收敛性。

Chapter 5 is focused on the studies on the equivalent conditions for maximum value convergence of sums of independent random matrix sequences, and the sufficiency condition of the strong consistency of M estimator of regression parametric in linear model for negatively associate samples, thus enriching and strengthening the results of a series of papers.

第五章得到了独立阵列和的最大值完全收敛的等价条件，从而丰富和强化了前人的一系列结果。获得了负相关样本线性模型中回归参数M估计是强相合的较弱的充分条件。

In this paper, a finite element method for linear scalar conservation laws is analyzed.

研究了一维线性标量守恒律初边值问题的弱解，分析了有限元方法的收敛性。

1Because some conditions can not be fulfilled,one can not applythe known results in stochastic approximation directly.

1由于有些条件不能满足，现有的随机逼近结果无法直接利用，我们巧妙地克服了这一困难，在较弱的条件(文中H.4.1—H.4.3)下，给出了这类算法的严格收敛性分析(定理4.3.2，定理4.3.3)。

Furthmore, we prove the superlinear convergence of Algorithm 2.1 under mild growth condition.

此外，我们在较弱的生长条件下证明了算法2.1的超线性收敛率。

Chrysanthemum of 10 thousand birthday is lax to edaphic requirement, with the arenaceous qualitative loam with fecund, good drainage had better.

万寿菊对土壤要求不严，以肥沃。排水良好的砂质壤土为好。

He unstepped the mast and furled the sail and tied it.

他拔下桅杆，把帆卷起，系住。