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Matrix Inverse and Transpose Calculator - This is a program that calculates the Inverse of a Rectangular Matrix using the Gauss elimination method, the product *[A-1] for verification purposes (must be always equal to Singular Matrix ) and also the transpose of Matrix .

这个程序使用高斯消除法计算矩阵的转置，用*[A-1]的结果进行校验，也可以对矩阵进行变换。

According to the studied results at present, the studied objects are mainly thin plate and beam about sound radiation mode, a method computed sound radiation mode of complex structure is presented in this dissertation, according to the results of the previous two chapter, a theoretical method to solve acoustical radiation mode and acoustical radiation efficiency of complex structure by boundary element method and acoustical radiation theory is posed, the acoustical radiation power is expressed as a Hermitian quadratic form, while the radiation modes is determined by general eigenvalue decomposing, and then the radiation efficiency is computed via the orthodoxy of radiation modes with regard to impedance matrix and average velocity matrix; lastly, the validity of the method is proved by pulsating sphere and radiating cube with analytical results. According to results of the form three chapter, the structure sound radiation sensitivity is studied in detail, the sound radiation power of structure can be expressed as positive Hermitian quadratic form, the sound radiation sensitivity can be expressed as two parts by partial differential with respect to design variable, which are sensitivity of boundary velocity and impedance matrix, combined with the theory of FEM and BEM, the structure sound radiation can be translated to the analysis of structure dynamic sensitivity and impedance matrix sensitivity. The theory posted in this dissertation is tested by the FEM software ANSYS and the software AAS programmed by author.

在前几章的基础上，通过结构声辐射的模态理论对结构的声辐射的机理进行了深入地探讨，针对目前声辐射模态的研究对象主要是简单的板和梁类结构，提出了一种计算复杂结构声辐射模态的方法，利用前两章研究所得的结论，将边界元方法与广义特征值的理论结合起来研究了复杂结构的声辐射模态与声辐射效率，先将结构的声辐射功率表示为一个正定的厄米特二(来源：ABb7C论文0909网www.abclunwen.com)次型，运用广义特征值分解求解了复杂结构的声辐射模态，然后利用声辐射模态关于阻抗矩阵与均方速度耦合矩阵的正交性，求解了复杂结构的声辐射效率，最后用具有解析解的脉动球与辐射立方体验证了该方法的有效性。

Matrix eigenvalue is an important conception in matrix theory and it has many applications in other subjects. In this section, the trace of the special form matrix is mainly discussed and the inequalities of Hermitian matrix which are extension forms of the known results are gotten.

本节主要讨论一类特殊形式的矩阵特征值和它的不等式，把已有结果推广到了一般形式。

Unlike the previous method, however, the proposed algorithm obtains the new transformed matrix by taking the conjugate operation to the forward and backward spatial smoothing covariance matrix of the received data, so that the modified covariance differencing matrix which is a Hermitian matrix of zero real part can lower the computation load effectively during the eigenvalue decomposition.

不同于以前的算法，提出的算法通过对接收数据的前后向空间平滑协方差矩阵进行共轭运算得到新的变换矩阵，因此修正后的协方差差分矩阵是个实部为零的厄米特矩阵，从而有效地降低了特征分解过程的计算量。

The using of the technologies of DOA in the orientation estimating of interference is discussed, then an evolutive ESPRIT algorithm is put forward which avoids the eigendecomposition and is easily achieved. To the MUSIC algorithm, an easy eigendecomposition algorithm for Hermitian matrix is presented. It breaks away form the complex matrix decomposition such as QR algorithm. Basing on the whole matrix, the algorithm makes use of the multiplication operation of matrix and vector, which attains simpleness and is fit for DSP. In the field of DOA estimating of correlation interferences, spatial smoothing algorithm consumes too many array units.

讨论了DOA技术在干扰源方位估计中的应用，提出了一种ESPRIT演变算法，该算法避开了特征值分解，实现简便；在MUSIC算法的实现中提出了一个Hermitian矩阵特征值分解算法，该算法摆脱了复杂矩阵分解，从矩阵整体出发，主要的运算是矩阵与矢量的乘运算，算法简单，非常适合DSP芯片实现；在相关源的DOA估计中，空间平滑技术使阵元的损失非常大，本文提出了一种进一步降低阵元消耗的平滑技术—随机空间增益法，其在运算量上的增加很小，但对于相干源的去相关确是有效的。

The so-call'exportable equation'is found by nonlinear geometry method for general non-autonomous chaotic control systems which coefficient matrix of control term is functional matrix contained system variables. The homeomorphic transformation of coordinate is found under specified conditions, the coefficient matrix of control term can be transformed as constant matrix, the synchronization among chaotic systems can be realized by common control methods.

针对一般的非自治混沌控制系统中控制项系数矩阵是含有系统变量的函数矩阵，利用非线性几何线性化的方法找出所谓的"输出方程"，在一定的条件下求出坐标的同胚变换，将控制项系数矩阵变换为常矩阵，然后利用常规的控制方法进行混沌系统之间的同步化。

First, an initial projection matrix is obtained through homography between an image and a scene plane. The homograph matrix between two images, i. e., the image plane and the scene plane, can then be calculated from matching points of these two images. Thus the projection matrix of every next frame can be calculated from homograph matrix between the current image plane and the previous one. Registration of virtual objects is finally completed.

根据这个原理，首先通过一个景物平面和图像之间的单应得到初始状态相机的投影矩阵，然后对后面每帧图像和前一帧进行自然特徵点匹配，通过匹配点对计算出图像之间以及图像与景物平面的单应关系，由此就可以得到每一帧图像对应的相机的投影矩阵，从而完成虚拟物体的注册。

When the actuated joint was rotary actuation, kinematic Jacobian matrix of the manipulator was a diagonal matrix. So it was an uncoupled mechanism. As the actuated joint was linear one, Jacobian matrix of the manipulator was an identity 3×3 matrix and its determinant was equal to one. Manipulator, therefore, was singularity-free fully-isotropic throughout the entire workspace.

当以转动输入为主驱动时，运动雅可比矩阵为3×3阶对角阵，故机构为无耦合并联机构；当以移动为主驱动时，雅可比矩阵为3×3阶单位阵，且其行列式的值为1，所以在整个工作空间内机构表现为无奇异完全各向同性。

Using minimum upper bound and matrix Riccati equation, a robust lower guaranteed cost fault tolerant controller is designed for interval matrix systems with performance index in a finite or infinite time interval. The systems under consideration have uncertainties both in system matrix and input matrix.

利用最小上界及矩阵Riccati方程，给出了系统矩阵和输入矩阵均含有不确定性时，区间矩阵系统有限时间及无限时间保低成本鲁棒容错控制器设计方法。

We analyze the essence of affine reconstruction and prove the sufficient conditions that a reversible matrix can be an infinite plane homography matrix and we can not uniquely decide an infinite plane homography matrix from fundamental matrix.

详细分析了仿射重构的本质，证明了可逆矩阵为无穷远平面单应矩阵的充分条件，以及从基本矩阵无法唯一确定无穷远平面单应矩阵。

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。