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If the Landweber method and pre-iteration method were convergent, the residue sequence would be monotone decreasing. By analyzing the convergence, the fact is demonstrated that for the severe ill-conditioned matrix of sensitivity coefficient, because of the limitation of the precision of the computer, the residue sequence is not monotone decreasing; thereby the reconstruction images diverge from the true distribution of the conductivity. So the generalized inverse method with threshold is established and the selection way of the regularization parameter is presented, by which the better images are reconstructed.

Landweber法和预迭代法收敛,则其残差序列单调递减,通过对它们的收敛性进行分析,证实对于病态性严重的灵敏度系数矩阵,由于受计算精度的限制,迭代过程中的残差序列不再单调递减,从而导致重建图象偏离实际电导率分布,因此作者建立了带阈值的广义逆算法,提出了规则化参数选择方法,获得了较好的图象重建质量。

This paper deals with the existence of monotone positive solutions to a type of three point boundary value problems of nonlinear second-order differential equations with p-Laplacian operator .

利用锥拉伸与锥压缩不动点定理,研究一类具 p-Laplace算子的二阶微分方程的三点边值问题单调正解的存在性,给出了单调正解存在的充分条件,并确定了解曲线的凹凸性。

In chapter 3 constructs firstlya new differential merit function by a perturbation structure of VIP and study theproperties of this merit function.Based on this merit function,a continuation-typeNewton method is proposed,which use the technique of inexact linear search forassuring its global convergence,and improves essentially the method of Taji,Fukushima and Ibaraki which can only solve the strong monotone VIP,and has locallyquadratic convergent rate under some condition.

第三章利用变分不等式问题的一种扰动结构构造了新的可微效用函数,并研究了效用函数的性质;在此基础上,给出了一类求解一般单调变分不等式问题的连续型Newton方法CN,方法采用了不精确的线性搜索技术以确保整体收敛性,从本质上改进了Taji、Fukushima和Ibaraki方法只能求解强单调变分不等式问题的局限性,同时又保持了局部二次收敛率。

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。

Firstly, the generalization of Fan-Ha section theorem and a general vector variational inequality without convexity assumption and minimax theorem of vector-valued function are obtained. Then, the quasi-montone vector variational inequality problem is concerned. Cx-quasi-monotone operator is defined in topological vector space, inner point of a closed convex set K is introduced, the relation between inner point and relative algebraic interior point is given, an existence result for quasi-monotone vector variational inequality is obtained.

第三章主要研究了向量变分不等式和极小极大定理(来源:3282AB83C论文网www.abclunwen.com),建立了广义的Fan-Ha截口定理、新的向量变分不等式与极小极大定理,并在拓扑向量空间中定义了C_x-拟单调算子,引入了闭凸集K的inner点,给出了inner点与相对代数内点的关系,利用innK_c代替K的拓扑内部,建立了新的拟单调向量变分不等式。

In part 3, utilizing the existing Lipschitz results and the property of Yosida approximation of monotone and continuous function, we prove the existence and uniqueness theorem of a general backward stochastic differential equation with monotone and continuous coefficient.

第三部分在系数仅满足单调连续这样一个新条件下,我们综合运用单调连续函数的Yosida逼近的性质以及Lipschitz条件下的已有结果,证明了一般形式的倒向随机微分方程解的存在唯一性。

For the monotone class of filters, the robust stability test is similar to that of Kharitonov theorem, which only needs to test four extreme polynomials of the class. However, for the non-monotone class of discrete systems, the test must examine possible combinations of all extreme polynomials.

单调系统簇的稳定性检验与Kharitonov定理的检验类似,只需检验集合中的四个端点或复多项式,而非单调系统需检验所有可能的端点复多项式的组合。

Based on the characteristic of temperature variation in plate rolling process, a monotone function of control temperature and finish temperature can be got.

温度对TMCP工艺影响很大,其中控温温度和终轧温度又相互影响,为此分析了中厚板轧制过程中温度的变化特点,将控温温度与终轧温度之间的关系转化成一个单调增函数,然后提出了相应的优化算法,以避免该单调增函数的不连续性,并利用二分法快速求出控温温度的具体值。

In chapter 2, by virtue of the properties of partially ordered F-type topological space, we establish some fixed point theorems of increasing mappings in this kind of space. At the same time, we investigate the existence of maximum fixed point and minimum fixed point of increasing mappings on an order interval.

第二章,利用半序F-型拓扑空间的基本性质,建立这类空间上单调增映射的不动点定理,研究其序区间上单调增映射的最大、最小不动点的存在性。

The wall sheathings are screwed on cold-formed steel studs, with 12mm gypsum board on one side and 9 mm oriented strand board on another side. Both static and cyclic load tests are conducted for a same size specimen. The purpose is to find the effect on shear strength from different height-width ratio, and to get the shear resistance limit by static and cyclic loading.

同样尺寸的二个试件分别在顶端进行水平单调加载和水平方向低周往复加载抗剪试验一次,试验目的是测试墙体的不同高宽比对抗剪强度的影响以及墙体在单调加载及低周反复加载两种情况下的抗剪强度Pu并做出比较,从而对墙体构造及设计提出改进建议。

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