查询词典 ax

In chapter 2 we make perturbation analysis for the two kinds of nonsingular systems AX=B and systems with multiple right hands involving Kronecker product, and derive normwise , mixed and componentwise condition numbers and their upper bounds respectively.

在第二章中我们对两类非奇异线性方程组AX=B和带Kronecker积的多右端系统进行了扰动分析，并应用矩阵导数得到范数型，混合型和分量型这三种条件数及其上界。

Linear refers to the form of the equations involved-in two dimension s, ax + by = c.

线性」指的是所包含的方程式形式，在二维问题中为ax+by=c。

The second chapter discussed the definition and nature of dashes inverse A in generalized inverse as well as its application in compatible linear equations. The third chapter discussed the definition and calculation of the minimum norm inverse A in generalized inverse, as well as the Minimal Norm Solution of its compatible linear equations Ax = b.

前言从引进广义逆矩阵的定义着手，介绍了它的历史概况以及发展的背景及其意义；第1章从广义逆的发展历程讨论由Moore-Penrose方程确定的各种广义逆的定义；第2章讨论广义逆中的减号逆A 的定义及性质以及在相容线性方程组的应用；第3章讨论广义逆中的最小范数逆A 的定义及计算以及它与相容线性方程组Ax=b的极小范数解。

The preface gave the definition and introduced history, background of development and significance of generalized inverse matrix. The first chapter, from the development process of generalized inverse, discussed all kinds of definition of generalized inverse determined by the Moore - Penrose equations. The second chapter discussed the definition and nature of dashes inverse A in generalized inverse as well as its application in compatible linear equations. The third chapter discussed the definition and calculation of the minimum norm inverse A in generalized inverse, as well as the Minimal Norm Solution of its compatible linear equations Ax = b.

前言从引进广义逆矩阵的定义着手，介绍了它的历史概况以及发展的背景及其意义；第一章从广义逆的发展历程讨论由Moore-Penrose方程确定的各种广义逆的定义；第二章讨论广义逆中的减号逆A 的定义及性质以及在相容线性方程组的应用；第三章讨论广义逆中的最小范数逆A 的定义及计算以及它与相容线性方程组Ax=b的极小范数解。

As I said in a past Email, this should not work because AX is magnetic and Epson is nonmagnetic.

像我以前告诉你的，根本就是行不通的因为AX是有磁性的，而EPSON是没有磁性的。

Missirlis in article [1]. At the same time, a sufficient condition for convergence of the PSD method is given to be compared when the coefficient matrix A of the linear system Ax = b is a symmetric, positively defective matrix. In §3.2, an example is given to state that the range of our sufficient condition is wider than theorem 3.3 of article [1]. On the other hand, following a.n analogous approach of [14] and starting the functional relationshipwe have a perfect analysis for the PSD method to converge and optimum valves for the involved parameters under different conditions.Under the assumptions that A is a consistent ordered matrix with nonvanishing diagonal elements and the eigenvalues of the Jacobi matrix of A are real,we get necessary and sufficient conditions for the PSD method to convergence.The result is equal to theorem 1 of article [9].Under the same condition, we can see the optimal parameter and of corresponding spectral radius of thePSD method in [8]:(2)When A is a consistent ordered matrix with nonvanishing diagonal elements and the eigenvalues of the Jacobi matrix of A are imaginary or zero,we get necessary and sufficient conditions for the PSD method to convergence.In chapter 3, the optimal parameter and of corresponding spectral radius of the PSD method are given by table 3.3. Moreover, under the assumption 0

Missirlis在文献[1]中定理3.3的不准确，同时给出了当线性方程组Ax=b的系数矩阵A为对称正定阵时，PSD迭代法收敛的一个充分条件与之比较，并且在§2.3中用实例说明了对于一部分矩阵而言本文得到的充分条件广于[1]中定理3.3的充分条件；另一方面，按照文献[14]的方法，我们从PSD迭代法的特征值λ与其Jacobi迭代矩阵B的特征值μ的关系式：出发，在不同条件下对PSD迭代法的收敛性和最优参数以及最优谱半径进行了完整的分析：(1)在系数矩阵A为(1，1)相容次序矩阵且对角元全不为零，其Jacobi迭代矩阵B的特征值全为实数的条件下，给出了PSD迭代法收敛的充分必要条件，此结果与[9]中的定理1等价，此时最优参数及最优谱半径由[8]得：(2)第三章表3.3中给出了，当系数矩阵A为(1，1)相容次序矩阵且对角元全不为零，其Jacobi迭代矩阵B的特征值全为纯虚数或零时的PSD迭代法的收敛范围和最优参数，并且我们可以得到当0

The problem of solving the matrix equation AX-EXY=BY is studied in this paper. Firstly, a complete general parametric expression for satisfying this equation is obtained.

给出矩阵方程AX-EXY=BY的一个完全解析的、具有显式表达式和完全自由度的参数解。

In chapter one, we give the definition of the sub-generalized positive definite matrix,study the inverse problem of matix eqution AX = B on the sub-generalized positive definite matrix.

第一章，给出了次广义正定矩阵的定义，进而研究了矩阵方程AX=B在次广义正定矩阵类上的反问题解。

This "Music with a Mission" philosophy gave rise to projects such as the Music of Hope CD, a CD which features Janis's music performed by the New York Philharmonic conducted by Kurt Masur and the London Symphony, new music from some of the industry's greatest such as Paul McCartney and Billy Joel, and new performances from Andre Previn, Emanuel Ax, and Ray Charles.

这种"音乐使命"的思想造就了专集《希望之声》，该专集由Kurt Masur指挥的纽约交响乐团与伦敦交响乐团合作演出，并从业界知名的Paul McCartney、Billy Joel、Andre Previn、Emanuel Ax以及Ray Charles得到支持。

By the above four criteria, it is proved that there does not exist a line parameterization which could satisfy all the four criteria at the same time, and that the line parameterization, formulated as c= ax+y, a∈-a0 ,a0, where a0 is an arbitrary positive number, can not only satisfy the uniqueness, boundedness, and recursiveness criteria, but also achieve the best goodness to the uniformness one.

根据上述四条标准，证明了不存在同时满足这四条标准的直线参数化方式t和直线参数化方式c= ax+y， a∈-a0 ，a0不但满足唯一性、有界性和递归性标准，而且可以获得均匀性标准的最优近似。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。