矩阵的矩阵

On the basis of the conversion relation of inverse matrix and adjoint matrix, by using 1/ω instead of |B'(xBx(subscript k|, a new Landweber iteration formula x(superscript δ subscript k+1)=x(superscript δ subscript k)-ωB'(x(superscript δ subscript k)Bx(superscript δ subscript kB'x(superscript δ kf(x(superscript δ subscript k)-y(superscript δ)is constructed for solving rank deficiency nonlinear least squares problem, with which the phenomenon that leads to ill-posed problem because the iteration matrix is rank-deficient and very ill-conditioned in numerical iterative process is avoided.

基于逆矩阵和矩阵伴随算子的换算关系，并用1/ω代替|B′(xBx(下标k|，构造出一个新的求解秩亏非线性最小二乘问题的Landweber迭代格式，x(上标δ下标 k+1)=x-ωB'(xBx(上标δ下标 k*B'x(上标δ下标 kf(x-y，从而避免了在迭代过程中由于迭代矩阵的秩亏和病态而产生的不适定现象。

The theory and approach are introduced, and the general expression containing arbitrary parameter is obtained for the feedback gain matrix. This method changes the problem of multi-input system to several problems of single-input. The number is the cycle index of system matrix. Compare with some known results, this method put forward that the least number of unknown entries of the feedback gain matrix is the order of the system matrix.

汽配置问题，得到了反馈增益矩阵的一般表达式，此表达式中含有任意参数，此方法将多输入线性系统极点配置问题转化为个数为系统矩阵循环指数的单输入系统的极点配置问题，进而推导出确定一个反馈增益矩阵的最少元素个数即为系统的阶数。

Secondly, we discuss the boundary value problem of two dimensional biharmonic equation in a rectangular field and its variational problem,discretize it by using dual tensor product of and the direct product and lining up of matrices, we get some special matrices which are the presupposition in exploring the fast computation, then solve the system of linear equations.

其次本文讨论了矩形域上二维双调和方程边值问题及其相应的变分问题，利用二元张量积小波分析和矩阵的直积、拉直技巧将变分问题离散化，从而使求解偏微分方程问题变为求解线性方程组的问题。一维情况两组基的张量积下得到的系数矩阵分别为块状七对角阵和稀疏矩阵。这些特殊结构为以后快速算法的研究打下一个基础。

In cinematograph kind the matrix stack that offers through OpenGL in implementation, obtain commutation matrix directly, avoided code of many matrix operation write, be in simplify calculative at the same time, improved the moving efficiency of the program.

在摄影机类的实现中通过OpenGL提供的矩阵堆栈，直接获得变换矩阵，避免了大量矩阵运算代码的编写，并在简化计算的同时，提高了程序的运行效率。

Through the definition of symmetric circulant matrix, the nature of the study, we discuss a class of n-order symmetric circulant matrix of eigenvalues and eigenvectors, and parity check on n different values are given for the matrix eigenvalue and the characteristics of vector formula.

通过对称循环矩阵的定义、性质的学习，我们讨论了一类n阶对称循环矩阵的特征值和特征向量，并分别就n取奇偶等不同数值时，给出了求该矩阵的特征值和特征向量的公式。

Matrix is an important mathematical concept,which is among the major research fields of Algebra study . Diagonalization of the matrix is the key content of Matrix Theory.

矩阵是数学中的一个重要的基本概念，是代数学的一个主要研究对象，而矩阵的对角化是矩阵论中的一个重点内容。

The Schroedinger Equation with unitary evolution equations is a matrix differential equations, so Wei-Norman decomposition can be used for solving the multi-level quantum systems.

Wei-Norman分解对于分析矩阵微分方程的解是比较成熟的理论，含有幺正演化矩阵的薛定谔方程是矩阵微分方程，所以可以利用Wei-Norman分解来分析求出多能级量子系统的解。

Furthermore, its optimal approximation to a given matrix X can be obtained by finding the least-norm centrosymmetric solution of a new matrix equation AXB+CXD=F.

对任意给定的矩阵Xo，矩阵方程AXB+CXD=F的最佳逼近中心对称解可以通过迭代求解新的矩阵方程AXB+CXD=F的极小范数中心对称解而得到。

In this paper, the transformable conditions and the transformation matrices of two arbitrary B-spline bases are studied, and the theoretical results about the representation and properties of the elements of the transformation matrices are given.

本文研究任意两个B样条基可转换的条件及转换矩阵，给出了关于转换矩阵元素的表示及性质等理论结果，并推导出了两个递推公式，为实际计算转换矩阵的元素提供了易于实现的数学方法。

These results include expectation values for position, momentum and their square, the uncertainty relation in the eigenstates, etc.

由于位置矩阵元的结果较复杂，我们借助海森堡对应原理对半空间谐振子的位置矩阵元及其平方的矩阵元给出了很好的近似表达式。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。