查询词典 The Matrix

In chapter 3, the concepts of M-matrix and H-matrix over a commutative Banach algebra have been proposed, and some of their important properties and applications in linear systems over a commutative Banach algebra have been studied. For usual complex matrix, the Bellman inequality with Hadamard product has been proved.

第三章，提出了交换Banach代数上M一矩阵及H一矩阵的概念，研究了其一些重要性质，并给出了在交换Banach代数上线性系统中的应用；对有限维复矩阵，证明了关于 Hadamard乘积的 Bell.an不等式。

The red and black ordering method about the coefficient matrix of a class of linear equations and the condition number of schur complement matrix deduced from red and black matrix are studied.

利用矩阵相似变换推导出红黑排序矩阵中的舒尔补的特征值和条件数表达式。

In view of practical problem during Sulige gas field development, this paper complete follow study content. Study material balance theory of two district compound gas reservoir. Carry out stress sensitivity experiment on matrix rock and labor created fracture core from Sulige gas field with America Core Company high pressure high temperature flow experimental instrument to study stress sensitivity change rule of different permeability matrix rock and created fracture core at the condition of time and again switch on and off well and different drawdown pressure. Carry out depletion experiment on matrix rock of different permeability serial combination with different kinds of allocation, using double core clamper serial connected experimental apparatus, to study gas well production performance of bi-zonal compound low permeability reservoir during low pressure production stage. At the basis of experimental study, establish single well simulation model to analyze development index infection caused by stress sensibility and production performance infection rule caused by inner formation and outer formation of bi-zonal compound gas reservoir permeability variation while considering stress sensitivity.

针对苏里格低渗气田开发中存在的实际问题，完成以下研究内容；研究了两区复合气藏物质平衡原理；利用美国岩芯公司高温高压流动实验仪，对取自苏里格气田基质岩芯和人工造缝岩芯进行应力敏感实验，研究不同渗透率基质岩芯和造缝岩芯在多次开关井和不同生产压差条件下的应力敏感变化规律；采用双岩芯夹持器串联实验装置，对不同渗透率串联组合的基质岩芯进行各种配产条件下的衰竭实验，研究两区复合的低渗储层气井在低压生产阶段的生产动态特征；在实验研究的基础上，建立单井模拟模型分析储层应力敏感性和非均质性对开发指标的影响，研究考虑应力敏感时两区复合气藏储层中内区和外区渗透率变化对开发动态的影响规律。

In this paper, for m× n Loewner-type matrix or symmetric Loewner-type matrix with full column rank, we form special block matrix firstly and research their triangular factorization or of its inverse, and then get the fast algorithm of the minimal norm least squaresolution .

本文对于秩为n的m×n阶Loewner型或对称Loewner型矩阵L，通过构造特殊分块矩阵并研究其逆的三角分解或自身三角分解，进而得到了线性方程组Lx=b的极小范数最小二乘解快速算法，计算复杂度为O+O(n~2)，而一般方法的计算复杂度为O(mn~2)+O(n~3)。

A new fast algorithm of the minimal norm least squares solution for the linear system whose coefficient matrix is an m×n Loewner-type matrix with full column rank is given by forming a special block matrix and researching its triangular factorization.

通过构造特殊分块矩阵及其三角分解给出了求秩为n的m×n阶Loewner型矩阵为系数阵的线性方程组极小范数最小二乘解的快速算法，该算法的计算复杂度为O+O(n2)，而一般方法的计算复杂度为O(mn2)+O(n3)。

In this paper, firstly the elimination tree theory is introduced in brief, and the structure of Jacobian matrix is determined by use of symbolic factorization; then by use of sparse vector method each column of lower triangular matrix L and each row of upper triangular matrix U are solved.

介绍了消去树理论，并采用符号因子分解技术确定雅可比矩阵的结构，然后采用稀疏向量法求取L阵的每行和U阵的每列。

Several important matrix function such as e〓, log (1+A), cos (1+A) and A〓 are approximated via truncated matrix continued fractions, and the error bounds associated with the continued fraction approximants of these matrix function are given.

在第六章，我们研究了矩阵函数的数值计算，我们给出了几个比较重要的矩阵函数如e〓，log（1+A），cos与A〓的连分式逼近算法，并给出了各自的误差分析。

Construct the three-dimensional manifold element covering hexahedron, provide cover displacement function, strain matrix, stiffness matrix and stress matrix of the three-dimensional manifold element by the previous research work.

6在前人研究的基础上，构造了六面体有限覆盖的三维流形单元，推导了三维流形单元覆盖位移函数、应变矩阵、刚度矩阵、荷载矩阵等表达式。

The first part is basic concept and axioms: Gives the definition and the basic theorem of diagonally dominant matrix, M-matrix, H-matrix which involve in this paper.

第一部分为基本概念和定理：给出本文所涉及的对角占优矩、M-矩阵、H-矩阵的基本概念和定理。

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。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。