条件数

We provide additive Schwarz methods for the mortartype rotated element, and prove that the condition number of the additive Schwarz preconditioned operator is proportional to , where H is the coarse mesh size and h is the fine mesh size.

我们提出了Mortar 型旋转Q1元的加性Schwarz方法，并证明了预条件子的条件数与（1+log）^2成正比，其中H与h分别是粗网格尺寸和细网格尺寸。

The red and black ordering method about the coefficient matrix of a class of linear equations and the condition number of schur complement matrix deduced from red and black matrix are studied.

利用矩阵相似变换推导出红黑排序矩阵中的舒尔补的特征值和条件数表达式。

Let Xand Y be different Banach spaces and 〓Lbe a bounded linear operator,thegeneralized condition number 〓and〓ABA=A,B〓L}are studied.

文章讨论了两类广义条件数的几种表达式，研究了这两类广义条件数之间的关系，并将它们用到算子方程的扰动估计中，推广了Demko[IV.1]中的结果。

The condition number of MEI equation has been studied in detail for the first time.

文中较详细地研究了MEI方程的条件数，并发展了求条件数的FORTRAN程序，计算了不同尺寸下的导电圆柱和导电矩形方柱的MEI方程条件数。

The condition number of MEI equation has been studied in detail for the first time. And a Fortran language computer program is developed to get the condition number.

文中较详细地研究了MEI方程的条件数，并发展了求条件数的FORTRAN程序，计算了不同尺寸下的导电圆柱和导电矩形方柱的MEI方程条件数。

Experimental results show the recognition rate of the method is 95%for a known expresser and 72% for a novel expresser. Aiming at the shortcomings of optical flow technique,two improved optical flow algorithms are presented.One way is to introduce forward and backword constraint eqution and Hessian matrix of optical flow equation is computed.The well- posedness of each point of local neighbourhood is examined and the weight of Lucas-Kanade's method is defined as the reciprocal of the conditioning number of its Hessian Matrix.

3针对传统光流法的缺点，分别提出了两种不同的改进方法：其一为引入前向-后向光流方程，计算其Hessian矩阵，把Hessian矩阵条件数的倒数作为Lucas-Kanade光流法的加权阵，可有效消除局部邻域中不可靠约束点，同时提高基本约束方程解的稳定性；其二为针对传统光流法只适用于刚体运动的特点，在扩展约束光流方程的基础上引入了div-curl样条函数作为扩展光流约束方程的附加约束条件，给出了一阶和二阶div-curl样条约束下光流的数值解。

In Chapter 3, we discuss the structured backward error and condition numbers of saddle point problem.

第三章讨论鞍点问题的结构化向后误差和条件数，给出了鞍点问题结构化向后误差的一般表达式，并用结构化条件数分析了解的敏感性。

In Chapter 5, we investigate the linear systems involving Kronecker product. We analyze its condition numbers and the level-2 condition numbers.

在第五章我们考察了带Kronecker积的线性系统，得到了与经典结果类似的条件数，并讨论了其二层条件数。

Since the linear systems involving Kronecker product and multiple right-hands are widely applied in many areas, we shall investigate the condition numbers for these linear systems: In chapter 1 we briefly review the background of linear systems and numerical algorithms for solving them. We also introduce the source of condition numbers.

由于带Kronecker积和带多右端项的线性方程组在很多领域得到了广泛的应用，因此本文对这类方程组的条件数进行了研究：在第一章中我们简单回顾了线性方程组问题的研究背景和数值求解方法，并介绍了条件数问题的来源。

Based on these, an improving μ-synthesis is presented, with which the high-purity distillation is designed well. 2. The robust performance problem of MIMO plant is explained with the plant direction angle, which shows that the robust performance varies with different input uncertainties and the μ-synthesis should be applied correctly according to the uncertainty structure. 3. Condition number and bandwidth are the important items for robust performance design in MIMO system. The H〓 two-block problems can not deal with the robust performance design of MIMO system because of the condition number cancellation. A general μ-synthesis procedure for MIMO system with uncertainties is presented. 4. For the SISO system, the object function in robust performance is amplified by at most 〓 than that of H〓 two-block problems in value: So the robust performance of SISO system can be done with the H〓 two-block problems to avoid the complicated μ-synthesis procedure. 5. All the conclusions and methods presented in this paper are demonstrated by some typical design examples.

从而形成一种改进的μ综合方去，并对精馏塔病态对象进行了鲁棒性能设计，得到令人满意的结果；（2）利用对象的方向角解释了MIMO对象鲁棒性能设计出现问题的原因，并提出不同输入摄动形式下系统的鲁棒性能问题也并不相同，因此利用μ综合处理鲁棒性能设计时，应根据不同的摄动情况采用不同的结构进行设计：（3）条件数问题和带宽问题是MIMO系统鲁棒性能设计的两个主要问题，指出由于条件数对消的存在使得一般H〓两块问题无法处理MIMO系统的鲁棒性能设计，而μ综合方法则是处理MIMO系统鲁棒性能设计的有效方法，并给出了其处理MIMO系统鲁棒性能设计的一般性方法；（4）提出对于SISO系统H〓两块问题（S/T问题、S/KS问题）的设计指标函数与鲁棒性能设计的μ指标函数在数值上最大差〓倍，因此对于一般SISO系统的鲁棒性能设计可以简单地用一般的H〓的两块问题处理，而避免μ综合设计的复杂过程；（5）本文中提出的结论和算法都利用H〓/μ发展中的典型例子：Doyle-Stein问题，Safonov的战斗机模型，精馏塔对象等进行了设计验证。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。