矩阵的矩阵

By using the properties of part matrix elements in N1 , and by looking for positive diagonal matrix factors, we present some new sufficient conditions of generalized strictly diagonally dominant matrix and improve the recent results.

第二章在行非严格对角占优集N_1划分为N_1~(1)与N_1~(2)的直和N_1~(1)⊕N_1~(2)的条件下，利用下标在N_1上部分矩阵元素的性质，寻求正对角矩阵因子，给出了广义严格对角占优矩阵的几个新的充分条件，同时改进了近期的一些结果。

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。

In this paper, we mainly use complex semisimple algebras knowledge. First, we give the structure formula of C. Second, we show that any n x n symmetric matrix A is congruent under the symplectic group to the direct sum of a identity matrix and a tridiagonal matrix.

记正交代数和辛代数的交集构成的李代数为L，本文主要是运用复半单李代数的知识，首先给出了L的结构公式，然后给出了任一n×n对称矩阵A辛合同于一个单位矩阵和一个三对角矩阵的直和。

Basing on the famous Schur theorem on real quaternion division algebra and the operation of matrix, some properties and judging criterions of skew self-conjugate matrix are obtained. Several theorems about characteristic value, similar decomposition and real expression of skew self- conjugate matrix are gained.

借助四元数体上的Schur三角分解定理和体上矩阵的运算，得到了斜自共轭矩阵的一些性质及判定准则，获得了斜自共轭矩阵的实表示、相似分解以及特征值的几个定理。

By using the secondary unit matrix, the inverse problem of secondary eigenvalue of anti-skew-symmetric is solved.

本文在对问题的理论推导中，充分利用了次单位矩阵的作用，提供了将次反对称矩阵的逆次特征值问题转为反对称矩阵的逆特征值问题来解决的新思路。

The brief proof is given for " row elementary operation s keep the linear relationship of column vectors of matrix",by using multiplication of partitioned matrix and the relation between elementary matrix and elementary operation.

利用初等矩阵与初等变换的对应关系及分块矩阵的乘法，给出矩阵的行初等变换不改变其列向量组的线性关系的一个简易证明。

With simplified assumption made for the modal trial mass ratio and the linear response characteristic of the holobalancing technique, the transfer matrix corresponding to a certain correction plane then is extended to the trial set transfer matrix, which is related to a certain order of modal trial mass set. The number of trial runs necessary for the balancing operation is reduced and the balancing efficiency is improved.

借鉴Darlow混合法中模态试重组的思想，通过对模态试重比的简化假设，利用迁移矩阵的线性可叠加性将对应于某单一平衡面的迁移矩阵扩展为对应于某阶模态试重组的迁移矩阵，从而减少了平衡高阶不平衡量所需的试重起车次数，提高了现场平衡效率，且平衡效果良好。

With simplified assumption made for the modal trial mass ratio and the linear response char acteristic of the holobalancing technique, the transfer matrix corresponding to a certain correction plane then is extended to the trial set transfer matrix, which is related to a certain order of modal trial mass set. The number of trial runs necessary for the balancing operation is reduced and the balancing efficiency is improved.

借鉴Darlow混合法中模态试重组的思想，通过对模态试重比的简化假设，利用迁移矩阵的线性可叠加性将对应于某单一平衡面的迁移矩阵扩展为对应于某阶模态试重组的迁移矩阵，从而减少了平衡高阶不平衡量所需的试重起车次数，提高了现场平衡效率，且平衡效果良好。

Finally, the author proves the sharp bound for the indices of convergence of n*n reducible Boolean matrices with f〓≥2 the writer lets f〓 be the greatest common divisor of the distinct lengths of the elementary cycles of the associated digraph D (A for a reducible Boolean matrix A , and characterizes the matrices with the largest index.

最后，设f〓为可约布尔矩阵A的伴随有向图D的所有圈长的最大公约数，当f〓≥2时，我们得到了可约布尔矩阵幂敛指数的一个上界和达到最大幂敛指数的矩阵的完全刻划。

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。

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％。