查询词典 conformable matrices

They are all important research topics of matrix theory. In this thesis, we mainly study problems on weighted generalized inverses, weighted polar decomposition, and partial orderings of matrices.

矩阵的广义逆与极分解在数值分析，矩阵逼近等方面都有很重要的应用，是矩阵理论的重要研究内容。

Polar decomposition and generalized polar decomposition of matrices are always the main research subjects of matrix theory. In the present thesis, we generalize them horizontally.

此外，我们还研究并给出了关于加权广义逆的Lavoie不等式，2×2分块矩阵的加权Moore-Penrose逆的显式表达式等。

A new type of polar decomposition—weighted polar decomposition of matrices is presented and defined. Aim at this new matrix decomposition, we prove its uniqueness theorem and obtain its uniqueness conditions, and also investigate the best approximation property of weighted unitary polar factor.

矩阵的极分解和广义极分解一直是矩阵分析研究的重要内容，本文中我们对其进行了横向扩展，提出并定义了一种新的极分解形式—矩阵的加权极分解。

The use of additives in polymer matrices is a common practice.

使用添加剂在聚合物矩阵是一种常见的做法。

In first part it pays attention to theory study. Afterwards, based on linear programming, we introduce some properties of conic optimization and its dual problem, which are a kind of especial convex programming. In second part, we apply these theories to practice, such as least-squares problems, polynomial solution and approximating covariance matrices, and other aspects .

第一部分是理论研究：在线性规划的基础上重点介绍了一种特殊的凸规划类型——锥规划及其对偶锥规划，并介绍了锥规划及其对偶锥规划的发展及其性质。

In order to change the situation, this article is to give the definition of an axiomatic generalized real positive definite matrices and make analysis into some of the quality of generalized positive definite matrix under the new definition.

为改变这种现状，本文给出一种公理性的广义正定矩阵的定义，并对新意义下广义正定矩阵的若干性质进行了分析和研究。

Gave the concept of generalized positive definite matrices for the first time in 1970, the scholars, after 39 years' tough research, have put forward many more generalized positive definite matrix and acquired huge achievement.

首次给出广义正定矩阵的概念以来，学者们历经39年的艰苦研究历程，产生了许许多多更加广义的正定矩阵，获得许多丰富的研究成果。

If A is a symmetric positive definite matrix, then the quadratic form x~ TAx can be written as a sum of squares. Equivalently, A is a sum of rank one matrices VV~T.

若A是对称正定矩阵，则二次型x~ TAx 能写成平方项的和，即A是秩为1的矩阵VV~T的和。

This paper mainly discusses a kind of indefinite stochastic linear quadratic optimal control problem with incomplete data, which can be described as: Minimize subject to Here Q, F are indefinite symmetric matrices,R is a positive semidefinite symmetric matrix.

本文主要讨论的是一类部分信息下的不定随机LQ问题，其形式如下：这里Q，F为不定对称矩阵，R为非负对称矩阵。

On the contrary, it is easily, efficiently and praiseworthily to find a solution to a system of differential equations through matrices and the operations on them.

相反地，如果使用矩阵及其相关运算来解微分方程组就显得简单、有效率和值得讚许。

There had been a moment during the breakfast meeting, though, after the backslapping and the small talk and when all of us were seated, with Vice President Cheney eating his eggs Benedict impassively and Karl Rove at the far end of the table discreetly checking his BlackBerry, that I witnessed a different side of the man.

那次早餐会期间，在表示过关心和寒暄以后，我们所有人坐了下来，我注意观察了一下，副总统切尼面无表情地吃着班尼迪克蛋（Eggs benedict，源自美国，以英式松饼、火腿、水煮蛋以及荷兰酱组合而成），卡尔。罗夫在餐桌的远端谨慎地经常查看他的黑莓手机，我目睹了他所不为人知的一面。

Talk Undelete failed; someone else may have undeleted the page first.

Talk 无法删除选定的页面或图像（它可能已经被其他人删除了）。