查询词典 triangular factorization

NMF is a new method for feature extraction and data dimension reduction. It has an advantage over traditional algorithms in the simplicity of implementation and the interpretability of factorization form and factorization result.

中文摘要： NMF是一种特征提取与数据降维的新方法，相较于一些传统算法，具有实现上的简便性、分解形式和分解结果上的可解释性等优点。

The paper available mapping of integral coefficient polynomial and rational number, obtain factorization from factorization of polynomial by the way of sieve in true fraction series.

利用整系数多项式与正有理数的对应，将多项式因式分解通过对真分数序列筛选的办法求得因式，给出了整系数多项式因式分解的一种新方法。

This process, known as prime factorization, should output a list of8–6. Prime Factorization.

这个过程叫做求素因子分解，它输出的所有因子之积应该是原来的数字。

II, Polynomial rings on a general field( on contrast of those over a number field): concepts of ring, ideals, field and several special rings as domains, principal ideal domains and unique factorization domains, the unique factorization theory of polynomial rings.

二、一般域上的多项式理论（是数域上多项式理论的推广）：学习环、域和几类特殊结构的环（整环、主理想环，唯一分解环等）的概念，多项式环的唯一分解定理；三、线性代数：讲述一般数域上的向量空间理论（是数域上向量空间理论的继续和推广），模的概念，主理想环上的模的结构及其线性变换的若当标准型等；四、一元多项式的解及域论：学习域扩张及其相关概念，伽罗瓦理论，用伽罗瓦定理判断根式解的存在性。

We thus give a detailed discussion for QCD factorization involved the complete chirally enhanced power corrections for B decays to two light pseudoscalar mesons. We point out that chirally enhanced corrections can be included consistently in the framework of QCD factorization only if the twist-3 distribution amplitudes are symmetric.

我们仔细讨论了B介子衰变到两个轻的赝标介子中的手征增强修正效应并指出，仅在twist-3波函数对称的条件下，手征增强修正才能被自洽的纳入QCD因子化框架。

The investigation is based on three methods: the twisted factorization、LU factorization of tridiagonal matrix and expression the block inverse matrix with four block column vectors.

该算法比经典的LU算法约快两倍。研究了非奇H矩阵的谱半径，得到一个非奇H矩阵谱半径的上界估计式。

There are many methods in dealing with this problem, such as naive factorization, QCD factorization approach, perturbative QCDfactorization approach, etc.

长期以来，为了提高强子矩阵元计算的精度，人们提出了多种因子化方法，例如：简单因子化方法、QCD因子化方法、pQCD因子化方法，等等。

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

对于工程计算中常常遇到的一类线性方程组的求解，通过构造特殊分块矩阵并研究其逆矩阵的三角分解，给出了求秩为n的m×n阶对称Loewner矩阵为系数阵的线性方程组，及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, 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)。

Fostering the concept of multi-culture firmly and mastering the development of advanced culture correctly are conductive to resisting terrorism, separatism of nationalities and ultraism of religion, which is of great academic theoretical, immediate and profound historical si...

牢固树立多元文化的理念和正确把握先进文化的发展方向，有助于在世界范围内自觉地抵制恐怖主义，民族分裂主义和宗教极端主义。不仅具有重大的学术理论意义，而且也具有重大的现实意义和深远的历史意义。

But if anyone walks in the night, he stumbles, because the light is not in him.

11：10 若在黑夜行走，就必碰跌，因为那光不在他里面。