收敛性

In this paper, the imprecise proofs existing in some literatures are firstly pointed out. Then, the local convergence is proved in a new way and the condition of convergence to the local maximum point is offered. Finally, the geometrical counterexamples are provided for explanation about convergence of Mean Shift and the conclusion is further discussed.

首先指出了Comaniciu和李乡儒的证明过程存在错误；然后，从数学上重新证明了Mean Shift算法的局部收敛性，并指出其收敛到局部极大值的条件；最后，从几何上举反例分析了Mean Shift的收敛性，并进行了深入比较和讨论。

The reconstruction problem is ill-posed, so two optimal criterions, the least module and the smoothness criterion base on Tikhonov regularization technique, are introduced into reconstruction algorithm. Many regularization parameters choice strategies are investigated, and the TPA(Two—Parameter Algorithm) strategy which is based on the Morozov discrepancy principles, is implemented in two regularization reconstruction algorithms.Numerical experiment results show that the nonnegative and smoothness constraint condition can overcome the difficulty of iteration semiconvergent, preconditioned technique can improve convergence rate and reconstruction accuracy, smoothness regularization criterion can meliorate ill-posed problem of reconstruction and enhance iteration stability, and the TPA is an effective strategy of regularization parameters choice.

数值试验表明：在共轭梯度法中引入非负约束和光滑约束改善了迭代的"半收敛"性，非负约束保证了解的非负性，光滑约束抑制了重建解的振荡现象，约束算法的重建精度与无约束算法相比大幅度提高；在约束共轭梯度重建算法中引入预优技术，可以加快算法的收敛速度，提高迭代的稳定性和重建精度；引入光滑准则的正则化技术可以有效改善图像重建问题的不适定性，加快迭代的收敛速度，提高迭代的稳定性和图像重建质量，计算正则参数的TPA算法在闪光照相图像重建中是有效的。

The projection gradient method will be a possible way to solve the problem that we just get. It has been shown that the projections of the every directions, of which is the boundary point in linear restraint problems, are the possible decent directions, and the projection of negative grads direction is a decent direction. In 1960, Rosen proposed the basic idea of projection gradient methods, and then lots of researchers have been tried to find the convergence of this method. But most of them get the convergence with the condition to amend the convergence itself.

在约束最优化问题的算法中怎样寻找有效的下降方向是构造算法的重要内容，在寻找下降方向方面可行方向法中的投影梯度法有效的解决了下降方向的寻找问题，利用线性约束问题边界点的任意方向在边界上的投影都是可行方向，而负梯度方向的投影就是一个下降方向。60年代初Rosen提出投影梯度法的基本思想，自从Rosen提出该方法以后，对它的收敛性问题不少人进行了研究，但一般都是对算法作出某些修正后才能证明其收敛的，直到最近对Rosen算法本身的收敛性的证明才予以解决。

Global and local superlinear/quadratic convergence results were obtained under mild conditions, and the finite termination property was also shown for the linear BVIs.

基于此给出了求解箱约束变分不等式的一种阻尼牛顿算法，在较弱的条件下，证明了算法的全局收敛性和局部超线性收敛率，以及对线性箱约束变分不等式的有限步收敛性。

A damped Newton type method was presented based on it.Global and local superlinear/quadratic convergence results were obtained under mild conditions, and the finite termination property was also shown for the linear BVIs.

基于此给出了求解箱约束变分不等式的一种阻尼牛顿算法，在较弱的条件下，证明了算法的全局收敛性和局部超线性收敛率，以及对线性箱约束变分不等式的有限步收敛性。

Simulation shows that MSA has strong robustness, good global convergence, quick convergence speed and high convergence accuracy.

仿真结果证明：MSA鲁棒性较强，全局收敛性好，收敛速度较快，收敛精度较高。

The main conclusion is that no remarkable σ convergence and unconditional β convergence exist in the...

论文基本结论表明，整个转型期中国农业TFP增长并不存在显著的σ收敛和绝对β收敛性，但存在显著的条件β收敛性。

Using the asymptotically compact theory of Anselone' and Stepleman' theorem, the existence, the unicity , the convergence and the error estimate with O(h3) of the discrete equations are shown....

并借助Anselone的渐近紧收敛理论和Stepleman定理，证明了离散方程组的解存在性、唯一性、收敛性和精度阶O(h~3)。使用Ostrowski的不动点定理，提供了三阶收敛的迭代法。

This paper first gives a continuous function, convergence, uniform convergence of function series, such as the definition of the concept, let us on the continuity and with the convergence of the initial understanding.

摘 要：本文首先给出函数连续性、收敛性、函数项级数一致收敛等概念的定义，让我们对连续性与收敛性有了初步的了解。

The result that a case of a physically strong patient running a high fever or suffering from such disorders as stasis of blood analyses makes clear: 1978 ～ between 2002, only better land developed technical astringent mechanism action, showed mechanism of remarkable astringent; labor productivity and capital astringent mechanism to be in only 1978 ～ produced convergent effect between 1989, and in 1989 ～ emanative effect had between 2002, but statistic of capital astringent mechanism examines on not quite remarkable.

实证分析的结果表明：1978～2002年间，唯有技术收敛机制较好地发挥了作用，表现出了显著的收敛性；劳动生产率机制与资本收敛机制只在1978～1989年间发挥了收敛作用，而在1989～2002年间起了发散的作用，但资本收敛机制统计检验上不太显著。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。