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The third part is the judge method and its improvement method of a piece matrix is a diagonally dominant matrix: By using the Schur repair property of matrices, gives the sufficient and necessary conditions to judge a piece matrix be a diagonally dominant matrix.

第三部分为分块广义严格对角占优矩阵的判定方法及其改进:利用矩阵Schur补的性质,给出判定分块广义严格对角占优矩阵的充要条件,并利用逐次降阶的方法,使一个任意阶矩阵A逐次降为只需要利用定义判定一个矩阵是否满足要求,从而判定A是否是广义严格对角占优矩阵。

By using the tensor product of matrix, stride permutation matrix and matrix power series under the meaning of matrix direct sum, the parallel algorithm, including the scrambling algorithm, can be expressed integrally. This description provides a convenient tool for the study and application of parallel FFT algorithm.

本文提出了矩阵直和意义下幂级数的矩阵运算,同时利用迭代形式的矩阵方程将混合基FFT的并行算法及其数码倒置算法完整地表示出来,为并行FFT算法的研究和应用提供了方便的表示手段。

Group testing; d—separable matrix;—separable matrix; d—disjunct matrix; error-tolerant matrix; construction of separating matrices; transversal design; probabilistic method; Las Vegas algorithm; line graph; competition number

基础科学,数学,代数、数论、组合理论群试理论; d-可分矩阵矩阵;-可分矩阵; d-分离矩阵;容错矩阵;横向设计;概率方法; Las Vegas算法;线图;竞赛数

Using the principle and method of matrix transformation, the matrix model of VRPTW is developed.(3) Through analyzing the time windows and distance matrix of the nodes, we construct a probability transferring matrix, which is used to produce the initial scheme of VRPTW.

以有时间窗的车辆路径问题的矩阵模型为基础,对客户点的时间窗和距离矩阵进行分析,构造了有时间窗的车辆路径问题的概率转移矩阵,并利用基于概率转移矩阵的初始化方案生成方法,产生有时间窗的车辆路径问题的初始化方案。

The matrix analysis has already all kind of method. The back part of this document, according to the matrix's elementary operation, gives one matrix analyze method, this method can more earthly and convenient analyze the matrix, and also provide the real example of the value analysis.

矩阵的分解已经作出了各种方法,本文在后半部分中根据矩阵的初等变换,提出了一种分解矩阵的方法,该方法能够更通俗便捷的对矩阵进行分解,并用数值实例进行了分析。

Chapter 1 mainly introduce some elementary concepts about matrix: consistently ordered matrix, matrix norm, nonnegative matrix and famous Perron-Frobenius theorem.

介绍了矩阵的一些基本概念:相容次序矩阵、矩阵范数、非负矩阵及著名的Perron-Frobenius定理等。

Firstly, based on the stability criterion for the nominal discrete singular time-delay system, a sufficient condition for the existence of the static output feedback controller in terms of linear matrix inequality with linear matrix equality constraint is established, which ensures that the resulting closed-loop system is regular, causal and robustly asymptotically stable, and the static output feedback controller is designed by the feasible solution of the linear matrix inequality with linear matrix equality constraint.

首先基于标称离散广义时滞系统的稳定条件,以受限线性矩阵不等式形式,得到闭环离散广义时滞系统正则、因果且渐近稳定的充分条件,同时利用受限矩阵不等式的可行解给出静态输出反馈控制器的设计方法;然后采用矩阵的正交补,把求受限线性矩阵不等式的可行解问题转化为求严格线性矩阵不等式的可行解;最后的数值实例说明了所给方法的有效性和正确性。

One thing you have to take into consideration is that each call to such functions is equivalent to creating the corresponding translation, rotation or scaling matrix and then multiply the current model view matrix with this matrix (and storing the result in the model view matrix).

有一件事你必须要考虑的是,每个这种函数调用相当于创建相应的平移,旋转或缩放矩阵,然后乘以目前的模式与此矩阵视图矩阵(并存储在模型视图矩阵的结果)。

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。

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