查询词典 triangular decomposition

Fast algorithm of minimal norm least square solution for Cauchy linear system;2. For the m×n Cauchy-type matrix with full column rank,the fast algorithm of the minimal norm least square solution to the linear system Cx=b was obtained by construction of a special block matrix and study of the triangular decomposition.

对于秩为n的m×n阶Cauchy型矩阵C，通过构造特殊分块矩阵并研究其三角分解，进而得到了线性方程组C x=b的极小范数最小二乘解的快速算法，所需运算量为O+O(n2)，而通常构造法方程组的方法所需运算量为O(m n2)+O(n3)，用正交化法虽然避免了构造法方程组，但所需的运算量更大些。

This paper proves the advantages of triangular decomposition through compare triangular decomposition to Gaussian elimination .

通过把三角化分解法与高斯消元法进行比较，说明三角化分解法的优点。

Matrix's triangular decomposition is the simplest and most basic kind of decomposition in matrix decomposition .

矩阵的三角分解是矩阵分解中最简单、最基础的一种。

In addition, we give the algorithms for generating the triangular decomposition or star-shaped decomposition for shapes.

另外，作者还给出了物体形状的三角骨架剖分和星形骨架剖分的两个算法。

And three special kind of triangular decomposition is introduced. In addition, the calculation of matrix's triangular decomposition and the application on matrix's triangular decomposition are detailedly discussed.

并介绍了三类特殊矩阵的三角分解，且对矩阵三角分解的计算及应用作了较详细的论述。

In this paper, the theoretical analysis of matrix's triangular decomposition is mainly discussed, including such as the necessary and sufficient condition of uniqueness of existence in matrix's triangular decomposition,the necessary and sufficient condition of existence and so on.

本文主要对矩阵的三角分解理论分析作了比较全面的统述，它包括矩阵三角分解存在唯一性的充要条件、存在性的充要条件、存在性的充分条件等。

In this article, several common matrix decomposition theory and its applications was put forward, such as triangular decomposition, QR decomposition, the full rank decomposition, SVD and so on.

本文给出了几种较常见的矩阵分解理论及其应用。如三角分解，QR分解，满秩分解，奇异值分解等。

To one quaternion matrix, according to its normal form, into which a quaternion matrix is transformed after decomposed, the types of decomposition of a quaternion matrix are divided into three large classes: diagonalized decomposition, triangular decomposition and triangular-diagonalized decomposition.

对单个四元数矩阵，以分解后的四元数矩阵的标准型作为分类的标准，将四元数矩阵的分解分为三大类：对角化分解、三角化分解、三角一对角化分解。

In this paper, the domain decomposition method is used for the elliptical boundary problems on a pentagonal region. In every sub-domain, we solve the partial differential equations with TDQ method, namely, triangular differential quadrature domain decomposition method.

为求解五边形上的椭圆型微分方程边值问题，我们借助了区域分裂法(domain decomposition method，简称DDM)，将大区域分成几个小区域，在每个小区域上，用TDQ方法，这种方法我们称之为三角微分求积区域分裂法(triangular differential quadrature domain decomposition method，简称TDQDDM)。

ABSTRACT This paper summarizes our researches on two key techniques in curve and surface modeling-the geometric approximation techniques and the geometric interpolation techniques. The former includes three types of geometric approximation techniques: Hybrid polynomial approximation to rational curves and surfaces, offset curves and surfaces approximation, interval Bézier curves and surfaces approximation. The latter includes a series of algorithms for shape blending modeling: the MSI algorithm for shape blending between space polylines or trees, the MSI algorithm for shape blending between triangular meshes, and skeleton-based shape blending algorithms using triangular decomposition and star-shape decomposition.

本文是作者对曲线曲面造型中两类核心技术几何逼近技术和几何插值技术的研究成果的总结，其中前者包括有理曲线曲面的Hybrid多项式逼近、等距曲线曲面逼近和区间曲线曲面逼近等三类几何逼近方法；后者包括用于形状混合造型的几何插值方法的一系列算法：空间多边形形状混合的MSI插值算法、三角网格形状混合的MSI插值算法、树的形状混合的MSI插值算法以及基于骨架树形状混合的三角剖分算法和星形剖分算法。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。