直接分解

The solvability of quadratic matrix inequalities of singular H∞ control problems with infinite zeros is studied in this paper. It is proved that the quadratic matrix inequality can be solved directly via the generalized eigenvalue problems. The previous method of solving the quadratic matrix inequality involving complicated decompositions and transformations of the systems is avoided.

摘要研究具有无穷远零点的奇异H∞控制问题的二次矩阵不等式的可解性，证明了通过求解广义特征值问题，可以直接求得二次矩阵不等式的解，从而简化了原需通过复杂的系统分解和变换来求解二次矩阵不等式的方法。

Section two elaborates the structure of a simple model on static yield curve of zero-coupon bond. According to the difference of constitution principle, the dissertation divides the numerous static models into direct ones and indirect ones. On the basis of setting forth the different constitution thoughts of two methods, it compares the merits, shortcomings, and the application scopes of the two methods. Spline model is the most common indirect method, and is the study emphasis of this section, especially its three key approaches that are defining the rank of function, the subinterval number to be divided, and knot of each subinterval, which are fully elaborated in the dissertation.

第二节阐述了现行静态零息票债券收益率曲线简单模型的构造，根据构造原理的不同，论文把众多静态模型划分为直接法和间接法两大类，在简述两种方法各自不同的构造思想的基础上，对两种方法的优缺点及适应范围进行了比较；分段样条函数模型作为最常用的间接法，是本节研究的重点，尤其是对它的三个关键环节：确定函数的阶数、确定所分的段数、确定各段的分解点，论文更是给予了充分的论述。

After extending the definition of tangent distance,we extract the directions of variance of sample sets using Singular Value Decomposition based onthe original image, and use them as the tangent vectors of training sample sets.

本文把切线距离的概念进行了进一步的延伸，在原始图像的基础上，用奇异值分解方法直接提取样本集合中所包含变化的方向，作为训练样本的切线向量。

The new sparse algorithms were applied to several real life pattern classification problems.6. Based on the singular value decomposition of kernel matrix, SVD-LSSVM was proposed, which oan save time for hyper parameters selection via cross validation.

另外，本文提出的稀疏化算法可直接应用于多类问题。6、本文利用核函数矩阵的奇异值分解，得到了可以节省超参数选取时间的分类器：SVD-LSSVM。

As a direct result of this digestive difficulty, the body kicks the metabolic thermostat upward to break protein down into subcomponent amino acids.

这直接导致了难以消化，揭开人体代谢蛋白质分解成恒温向上突破次级氨基酸。

In this paper we separate the Hamiltonian into three parts: a spherical symmetry Hamiltonian; a z-component of the angular momentum operator, and a non-spherical symmetric potential as the perturbation operator, and provide a propose method by separating the potential containing squared magnetic field B^2 into two parts spherical symmetric and non-spherical symmetric ones so that the first-order energy correction due to the non-spherical symmetric potential is zero, and the second-order correction due to B^2 can be obtained by a simple variational method.

采用变分法和微扰法相结合的方法，把高强度磁场中氢原子的哈密顿H分为三部分：球对称哈密顿；z分量角动量算符相应部分和非球对称势微扰，并用一种特别规定的分解法将哈密顿H中含磁场平方项的势能分解为球对称与非球对称两部分，且使非球对称部分引起的一级修正能量值为零，并采用一种简便的变分法直接求出B^2对能级的二级修正值。

Use of tensor product can be from one-dimensional analysis directly from the two-dimensional multiresolution analysis, thus conveniently be constructed of two-dimensional wavelet and wavelet packet and the corresponding decomposition and synthesis algorithms.

利用张量积方法可以从一维多分辨分析直接得到二维的多分辨分析，从而方便地构造得到二维小波和小波包以及相应的分解和合成算法。

Wavelet transform is done in image space directly. The multiplication number of the method is rough 25% less than the conventional implementation based on 1-D tensor product, so the memory usage is also reduced.

该方法进行小波变换时直接在图像空间进行2维分解，其乘法运算次数比传统的基于1维张量积的2维提升整数小波变换减少约25％，从而也减少了存储空间。

It included the development of the trilinear decomposition algorithms as well as the applications of these algorithms to different fields of analytical chemistry, in particular, to three-way fluospectroscopy (excitation-emission matrix fluospectroscopy)In Chapter 2, a method of simultaneous determination of two main components of the Chinese traditional medicine cortex fraxini was introduced.

第二章利用激发-发射荧光分析方法分析了中药秦皮粉末萃取液，结合交替三线性分解算法，在无须预分离的情况下，直接对秦皮实际萃取液中秦皮甲素和秦皮乙素这两种主要成分同时定性定量分析，方法允许在其他组分的干扰共存。

Combing these expressions with the orthogonal invariance of the Frobenius norm, we overcome the key difficult for the matrix unitary approximation successfully, and obtain the expression of the solution of Problem I.

本文分别利用多种矩阵分解相结合的直接方法和具有短递推格式的迭代方法得到了问题Ⅰ的解，其主要研究成果如下： 1。

He and Nina moved to California and lived at 2005 Ivar Street, Apt.

他和Nina搬到加州，并在2005年伊瓦尔街，公寓生活。

Droperidol （ potently inhibits transfected HERGchannels and this is the probable mechanism for QT prolongation.

氟哌利多有效地抑制了转染的 HERG 钾通道，可能是 QT 间期延长的机制。