查询词典 triangular decomposition

For a system of algebraic equations, we can get a zero decomposition of triangular systems.

对于给定的的代数方城组，通过正规分解，可以得到一组具有三角形式的分解。

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。

We give a new proof for the triangular decomposition theorem of affine composition algebras.

我们给出了仿射合成代数的三角分解定理的一个新证明。

In addition, we prove in detail the triangular decomposition theorem of quantized generalized Kac-Moody algebras, and provide generators and defining relations for each part.

此外，我们还详细地证明了量子广义Kac-Moody代数的三角分解定理，给出了各部分的生成元和具体的定义关系。

On this basis from the fuzzy set with the classic set of relations, the application of fuzzy set of the latest set of decomposition theorem, A new fuzzy definition of the fuzzy distance, definition and application of this research is partial order triangular fuzzy numbers fuzzy distance.

在此基础上从模糊集与经典集的关系出发，应用模糊集的截集以及分解定理，提出一种新的模糊集的模糊距离定义，并应用此定义研究具有偏序关系的三角模糊数的模糊距离。

The semi singular value decomposition A=USR is suggested,where U is an orthogonal matrix,S is a diagonalizable matrix and R is a upper-triangular matrix.

提出了半奇异值分解A=USR，其中U为正交矩阵，S为对角矩阵，R为上三角矩阵。

Using Gauss elimination method and alignment triangular decomposition method for solving linear equations of the program source code.

用Gauss消去法和Doolittle三角分解法求解解线性方程组的程序源代码。

In this algorithm scheme, the multiplication of inverse matrix and a matrix is executed by the matrix triangular factor decomposition and back-substitution for the solution.

该算法保留了原方程组系数矩阵的稀疏存储方式和稀疏矩阵的运算规则，减少了计算时间和运算过程所需要的存储空间。

A efficient LU decomposition method is spectral factorization. That is, after the minimum phase correlative function of each array of matrix had be given by a spectral factorization method, all of the functions are arranged in a position according to its former location to get a lower triangular matrix.

谱法LU分解的优点是在对大量具有相同非零结构的矩阵分解时，通过建立包含所有具有不同非零元素的列对应的自相关函数的分解表，使得随后的所有矩阵分解只需通过查表实现。

Based on the return2calculating sequential conditional least-squares technique and the upper-triangular Cholesky decomposition algorithm, a new approach to resolve GPS carrier phase integer ambiguity solution , which is referred as Return-Calculating LAMBDA approach , has proposed in this paper.

基于回代解算的序贯条件最小二乘技术和上三角的Cholesky分解算法，提出求解载波相位模糊度的一种新算法——回代解算的LAMBDA方法。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。