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So a simple and practicable iterative algorithm for solving any system of linear equations is given and its convergence is pro.

由于其方程组一般是病态、无精确解的,为此探讨了一种求解任意线性方程组的简单、实用的迭代算法以及其收敛性,该算法不需矩阵求逆而总能得到最优解。

Based on the convergence theory in the documents about economic growth, the thesis makes the matrix, one kind of the methods about Spatial Econometrics, according to the spatial geographical ubiety between provinces in order to analyses empirically the difference about the economic growth between areas in the mainland since the open-door policy, especially the year 1990 from which the economy of China grows rapidly.

本文以经济增长文献中有关收敛性理论为基础,运用根据省际间的空间地理位置关系建立空间关系矩阵的空间计量经济学方法,对中国改革开发以来,特别是经济高速发展的1990年以来中国大陆地区的地区经济增长差异进行实证分析。

The method attempts to transform the original problem into a series of unconstraint optimization problems.

在这些研究中,均假定在对数障碍函数是严格凸的及解集是非空有界的情况下,证明了方法的全局收敛性。

In this paper, an unconstraint, continuous, twice-differentiable and strictly convex optimization is obtained by utilizing the Huber function to remove the l_1 -norm in the objective of the primal one, which is called the y- approximation of the original primal optimization.

在此基础上,提出一种能够直接在原始空间中求解支持向量机的近似最优解的快速学习算法,并对算法的收敛性、复杂度以及解的性质进行了分析。4。

A new scheme was presented to design subdivision curves by introducing three control parameters in the subdivision process. The sufficient conditions of the uniform convergence and Ck continuity of this subdivision scheme were analyzed.

通过在曲线细分过程中引入三个参数,给出一种新的细分曲线构造的算法,并利用生成多项式等方法对细分法的一致收敛性、Ck连续性进行了分析。

Moreover, classical multigrid methods, such as W-cycle and Variable V-cycle, are shown to be convergent uniformly for this mortar type TRUNC element.

我们还用经典多重网格方法(可变的V-循环、W-循环)求解带mortar条件的TRUNC元解,证明所构造的网格转移算子满足收敛性条件,从而传统多重网格方法作预处理的条件数为一致有界。

A class of modified BFGS algorithm which satisfies the new quasi-Newton equation is proposed in the paper[1],and the global convergence of the algorithm is proved under the condition that the objective function is uniformly convex.

文献[1]曾在已建立的一类新拟牛顿方程 Bk+1sk=yk-=yk+kγskTsksk的基础上,证明了满足新拟牛顿方程的一类改进BFGS算法在目标函数为一致凸的条件下,具有全局收敛性。

The vetiver really takes a long time to develop, and I think that's where the astringency comes from.

你译为:我想这款香水的收敛性源自于岩兰草的加入,因为它实在花了很长时间去释放;:岩兰草的味道能保持很长时间,我想这种涩味就是岩兰草的味道。

Chapter 3: Using spectral projected gradient method and a new nonmonotone line search technique, we propose a algorithm for solving the trust region subproblem. Under weak conditions, the global convergence is established.

第三章:利用谱投影梯度方法与一个新的非单调线搜索技术给出了求解信赖域子问题的一个方法,在一般的假设条件下获得了方法的全局收敛性。

But the weak law of large numbers and the complete convergence for arrays of rowwiseρ*-mixing random variables have not been reported.

但是关于它所生成的随机变量组列的弱大数定律及完全收敛性还未见报道,本章讨论这方面的内容,仅在条件ρ~*(1)<1,而对混合速度不作任何限制下,得到了:定理0.1.1设{X_;1≤k≤n,n≥1}是行内随机变量为ρ~*混合且ρ~*(1)<1的随机变量组列。

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