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In chapter one, firstly, we introduce the properties of αdiagonally dominant matrix and some exists determination conditions of generalized strictly diagonally dominant matrix, then we give some new results for the criteria of generalized strictly diagonally dominant matrix, finally, we show the validity of these conclusions.

在第一章中，首先引述了α-对角占优矩阵的性质及已有的一些判定条件，给出了判定广义严格对角占优矩阵的几个新的结论，最后说明了这些结论的有效性。

In chapter two, by using the elements of the matrix we first construct some multiplier factors, then, use the properties of αdiagonally dominant matrix and the techniques of inequalities, we give some new determination conditions for generalized strictly diagonally dominant matrix, these theory have improved some existing results.

在第二章中，利用矩阵某些元素，构造出了几个乘积因子，然后利用α-对角占优矩阵的一些性质，结合放缩不等式的技巧，给出了广义严格对角占优矩阵的几个新的判定条件，改善了已有的某些结果。

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。

In chapter three, we divide the rows of matrix into types finer than those in chapter one. Again by looking for positive diagonal matrix factors, we obtain several new criteria for identifying generalized strictly diagonally dominant matrix, improving some existing criteria.

第三章在下标集N 递进式划分的条件下，根据递进后，某些下标集上部分矩阵元素的性质，寻求正对角矩阵因子，获得了广义严格对角占优矩阵的几个新判别法，同时改进了一些已有结果。

If A∈Rn×n is a L-matrix,and A isn't a diagonally dominant matrix,then some properties of the quasi diagonally dominant matrix with chain of non-zero elements were given.

对角占优矩阵、拟对角占优矩阵、H-矩阵等特殊矩阵在许多工程领域中起着很重要的作用，吸引了许多数学工作者对它的性质进行研究[1-5]。

The matrix composites for diamond tools were tested with such modern testing instruments and equipments as DTA-7 differential thermal analyzer, JCXA-733 electronic probe and scanning electron microscope, JEM 2000 FX Ⅱ transmission electron microscope, eXL energy spectrometer, and humidity test instrument. The analysis, comparison, and induction of the testing results prove the enhancing effects of the rare earth on the matrix composites: degeneration, micro-alloying, purification, and catalytic activation. The comprehensive function of these effects leads to the decrease in the porosity of the matrix composites and to the increase in such actual indexes as the flexural strength, hardness, and impact ductility of the whole rare earth Fe-based diamond tool materials.

由DTA-7型差热分析仪、JCXA-733型电子探针及扫描电镜、JEM2000FXⅡ型透射电镜、eXL能谱仪以及莱茨2AP高温显微镜材料润湿性测试仪等现代测试仪器设备对金刚石工具材料进行了测试实验，对测试实验的结果进行了分析、比较和归纳，证实了稀土对胎体材料具有变性、微合金化、纯化和催化活化等四大强化作用机理，这些机理的综合作用导致了胎体材料孔隙率的降低和整个稀土Fe基金刚石工具材料抗弯强度、硬度及冲击韧性等实际使用性能的上升。

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。

Those results make basis for fabricating discontinuously reinforced titanium matrix composites with high properties and broadening the application area of discontinuously reinforced titanium matrix composites. They also provide practical way for commercial production of titanium matrix composites with high properties.

这些研究为以后制备高性能的钛基复合材料和拓展钛基复合材料的应用领域打下了坚实的理论基础和为批量生成提供了实用途径。

The results showed that the second phase was refined and distributed dispersedly in the matrix of the alloy after ECAE. The refined particles could cut the soft matrix, which was useful to grain refinement during ECAE. The dispersoid distribution of the second phase could strengthen the matrix and improve mechanical properties of the alloy.

结果表明：合金中的两相组织经ECAE热挤压后被显著细化，析出的第二相弥散分布于合金基体中；细小的第二相颗粒在ECAE热挤压过程中对合金软基体起到钉扎作用，有助于细化合金的微观组织，并对合金起到了弥散强化的作用。

A parallel split iteration algorithm for MIMD distributivity memory cluster on solving linear coefficient matrices is established in chapter three. Convergence is proved when the coefficient matrix is Hermite positive definite matrix or M-matrix. Discussing convergence range of parameter T . In the end, examples have been implemented on HPrx2600 cluster, and the data verify that the algorithm has favorable astringency and parallelism.

研究了一种适合于MIMD分布式存储并行机的交替方向法，理论上证明了在系数矩阵为Hermite正定矩阵和M-矩阵时算法的收敛性，讨论了参数τ的收敛范围，最后在HPrx2600集群上进行数值试验，结果表明此算法有良好的收敛性与并行性。

The witness also told the jury at the Royal Courts of Justice in London that he saw a paparazzo fighting with a member of the public who was trying to stop him taking pictures in the minutes before the emergency services arrived.

他还告诉在伦敦皇家法庭的陪审团，在急救服务到来之前，他当时看见一个狗仔队正和一群阻止他拍照的人打架。

The entire N／C program on a tape is made up of an accumulation of these successive data blocks.

纸带上的整个数控程序由这些连续数据单元连接而成。