查询词典 Penrose

In chapter 3 we further analyze the Moore-Penrose inverse of Kronecker product of A and B and the linear least squares problems involving Kronecker product, then obtain normwise mixed and componentwise condition numbers and the upper bounds similarly.

在第三章中我们进一步在列满秩情形下，对A与的Kronecker积的Moore-Penrose逆和带Kronecker积的线性最小二乘问题做了分析，同样得出了范数型，混合型和分量型这三种条件数及其上界。

In this paper, we'll give a necessary and sufficient condition for the existence of the weighted Moore-Penrose inverse of a matrix over a ring and generalize it on a semiring.

本文给出一般含幺环上矩阵加权Moore-Penrose逆存在的充要条件，并将其推广到一般半环上。

In this paper, well give a necessary and sufficient condition for the existence of the weighted Moore-Penrose inverse of a matrix over a ring and generalize it on a semiring.

本文给出一般含幺环上矩阵加权Moore-Penrose逆存在的充要条件，并将其推广到一般半环上。

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。

The second section studies general Moore-Penrose inverse of morphism with general factorization, and gives some necessary and sufficient conditions for their existence and expression.

第二部分我们研究了具有广义分解的态射的广义Moore-Penrose逆，得到了他们存在的充分和必要条件以及他们的表达式。

The third section studies general Moore-Penrose inverse of the powers of a morphism with general factorization, and obtains some useful properties.

第三部分我们研究了具有广义分解的态射幂的广义Moore-Penrose逆，得到了一些有用的性质。

We defined the generalized Moore-Penrose inverse of morphism, prove it's unique when it is existed, and give some its expression in some cases.

我们考察了预加法范畴中态射的广义逆，利用幂等态射给出了态射广义逆存在的充要条件及其表达式。

We suppose that C is a category with involution *, a is a morphism of Category C, h and k are inversive symmetrical morphisms of category C. If there is a morphism x, satisfyingthen x is called a general Moore-Penrose inverse of a on morphism h and k .

设C是具有对合*的范畴，α是范畴C的态射，h，k为范畴C的可逆对称态射，如果存在一个态射x，使得则称x为α的关于h，k的广义Moore-Penrose逆，记为α_~+。

In chapter five, we simply introduce the application of Moore-Penrose inverse in multivariate analysis.

第五章简单介绍了Moore-Penrose广义逆在多元分析中的应用。

In this sense ,I argue my theory is follow and expand Penrose's.

从这个意义讲，我认为我们的理论是对Penrose成长理论的继承与发展。

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。