超矩阵

With this method, the controller of the PWM DC/DC converter is designed. Utilizing augmented matrix to build a tracking control model with no steady error, and through select weighted matrix to perform the no overshoot and dynamic response of system.

通过引入增广矩阵，增加了控制量U*中对误差的积分环节，推导了无静差跟踪控制系统模型；在目标函数的构成参量和形式确定之后，通过选取适当的加权矩阵，实现系统的无超调动态响应。

Technology and brand are the foundation of Samplex's stongthen , for many years, the company has devoted to the technical research and development and the brand construction, leads the profession development by the technology, added product value by the brand promotion, under this kind of development mentality's direction, the company has promoted the Samplex brand, its product line including the DID liquid crystal splicing demonstration wall, the large-scale ultra-wide band RGB matrix, the VGA matrix, the AV matrix, the multi-screen splicing image processor, the picture decollator as well as each kind of signaling equipment and so on, the Samplex product passes through tests strictly, guaranteed that will achieve the ultra strong stability, the factory always take the ISO9000 quality system as the guidance,help the user makes the high added value product which is worth trusting.

技术和品牌是赛普公司发展壮大之基础，多年来，公司一直致力于技术研发和品牌建设，以技术带动行业发展，以品牌提升产品附加值，在这种发展思路的指引下，公司推出了Samplex品牌，其产品系列包括DID液晶拼接显示墙、大型超宽带RGB矩阵、VGA矩阵、AV矩阵、多屏拼接图像处理器、画面分割器以及各种信号传输设备等，Samplex产品经过严格测试，以确保达到超强的稳定性，工厂将一如既往的以ISO9000质量体系为导向，为用户制造出值得信赖的高附加值产品。

Circulant matrices are often used as preconditioner for Toeplitz linear ...

循回矩阵通常用作Toeplitz线性系统的预处理矩阵，因为循回矩阵很容易求逆和有超快速的计算方法。

The circulant structure of the circulant matrices provides an effective method for the stability analysis of the switched hypercycle systems.

循环矩阵的循环结构为研究切换超循环系统的稳定性提供了有效的方法，给出切换线性时变超循环系统在任意切换律下渐近稳定的充要条件和切换线性定常超循环系统可切换镇定的充分条件。

A.Cayleys modern thought that looked matrix upon as a hypercomplex developed to the early days of the 20~ century from the end of the 19~ century. Infinite matrix theory and the matrix theory on abstract region investigated further since the development on integral equation and modern physics.

凯莱把超复数视为矩阵的思想在19世纪未至20世纪初得到发展，由于积分方程的发展以及近代物理的需要数学家们开始了对无限矩阵理论、元素属于抽象域的矩阵的研究。

In this paper, three methods for color image retrieval have been presented: hypercomplex SVD image retrieval, combination of hypercomplex convolution filter and hypercomplex SVD image retrieval and hypercomplex matrix correlation image retrieval. We made comparison among these hypercomplex-methods, and compared them with the traditional image retrieval methods. Experiment results showed that the hypercomplex-methods we presented in this paper could well conquer the problems existed in traditional image retrieval methods, and their retrieval results are much better. Meanwhile, this paper presented a new color image quality assessment based on hypercomplex SVD. It is a novel color image quality assessment that can be used as a graphical or a scalar measure to predict the distortion introduced by a wide range of noise sources. It reliably measures the distortion not only within a distortion type at different distortion levels, but also across different distortion types.

提出了超复数奇异值分解检索法，超复数卷积滤波与超复数奇异值分解相结合的检索法以及超复数矩阵相关检索法等三种超复数彩色图像检索方法，在对提出的三种算法进行比较的同时也将其与传统图像检索方法进行了比较，结果证明，超复数彩色图像检索法能较好地克服传统图像检索方法存在的问题，且检索结果更优；同时，本文提出了基于超复数奇异值分解的彩色图像质量客观评估法，这种全新的图形化与数值化相结合的方法不仅能够准确评估出彩色图像的不同失真等级，还能够区分不同的失真类型，从真正意义上实现了彩色图像的质量评估。

The classic iterative ones need special characters of the coefficient matrix; CG has over linear convergence, but the coefficient matrix is positive definite; Krylov subspace ones can deal with non-symmetric linear systems, but sometimes it must face"collapse"problems.

经典迭代法的收敛需要由系数矩阵的一些特定性质来保证；共轭梯度法具有超线性收敛性，但是系数矩阵必须是正定矩阵；Krvlov子空间法可用于非对称矩阵问题，但可能出现崩溃现象。

The algorithm has following properties: Although the merit function has the form of least squares of a system of overdetermined equations, in the Newton equation of our algorithm, only the coefficient matrix of the system of overdetermined equations is used instead of its product as in Guass-Newton method for solving the least squares problems. That is, our Newton method is more like that for the system of nonlinear equations rather than that for LSPs. The global convergence is obtained for VLCP with vertical block P_0 + R_0 matrix; The local quadratic convergence rate is proved under the condition that the solution is BD-regular; Although there is only a Newton equation in our algorithm, the finite convergence property can be shown if matrix is vertical block P— matrix (without the hypotheses of strict complementarity).

该算法具有下列特点：所构造的价值函数虽然具有超定方程组的最小二乘问题的形式，但在基此建立的Newton算法中，其Newton方程的形式更象非线性方程组的Newton法中的Newton方程，仅利用了超定方程组的系数矩阵本身的信息，避免了一般最小二乘问题的Guass-Newton法中必须计算系数矩阵的乘积的工作量；对竖块P_0+R_0矩阵的垂直线性互补问题，算法具有全局收敛性；在解是BD-正则条件下，证明了算法的局部二次收敛性；虽然算法只含一个Newton方程，但对竖块P-矩阵垂直线性互补问题，算法具有有限步收敛性。

In this dissertation, we first adopted many methods to determine the number of endmembers, then a method by combining the a prior knowledge of hyperspectral data into nonnegative matrix factorization was proposed to unmix hyperspectral images when there are no pure pixels existing in data.

在本文中，我们首先采用多种方法对超光谱图像端元个数的确定进行分析，然后将超光谱图像的先验知识加入到非负矩阵分解中，对纯像元不存在情况下的超光谱数据进行混合像元分解，实验结果表明本文中提出的方法是有效的和可行的。

Firstly, B-scan ultrasound images are captured form patients and the regions of interest are localized. During the feature extraction approach, three models are employed including mean intensity ratio of the near field and the far field, the gray level co-occurrence matrices and the gray level run-length matrices. 10 statistics are extracted from the three models for each image.

首先以脂肪肝B超图象纹理的变化为出发点，分别采集人体肝脏的B超图象，并选择图象中的感兴趣区域，计算出每一幅图象的近远场灰度比特征、灰度共生矩阵和灰度游程矩阵的二次统计量特征。

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。