三角分解

词组短语

triangular decomposition · triangular factorization

与三角分解相关的网络例句 [注：此内容来源于网络，仅供参考]

This paper presents the superdefinite equations coefficient matrix can be decomposed in QR form using modified Gram-Schmidt orthogonal and the accurate passive macromodel in time domain can be constructed based on Bernoulli polynomial root finding method and the formulae for stability and passivity.

该文提出利用修正Gram-Schmidt正交化处理对超定方程组系数矩阵进行正交三角分解，结合Bernoulli多项式求根方法及稳定、无源性准则可以精确构建无源时域宏模型。

It is demonstrated by an example that the proposed algorithm can find all canonical groups without triangle decomposition and heightens the precision and decreases the complexities of computation.

实例验证表明：该算法不通过三角分解就能够找出所有的规范模糊组，提高了计算精度，同时也降低了计算复杂度。

However Block-FFT can only be used with approximating the system matrix as block circulant.

然而，现有的方法是把系统矩阵做一个块循环近似，然后才能作块三角分解。

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)。

Basing on the famous Schur theorem on real quaternion division algebra and the operation of matrix, some properties and judging criterions of skew self-conjugate matrix are obtained. Several theorems about characteristic value, similar decomposition and real expression of skew self- conjugate matrix are gained.

借助四元数体上的Schur三角分解定理和体上矩阵的运算，得到了斜自共轭矩阵的一些性质及判定准则，获得了斜自共轭矩阵的实表示、相似分解以及特征值的几个定理。

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。

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。

与三角分解相关的网络解释 [注：此内容来源于网络，仅供参考]

triangulable：可三角剖分的

三角形公理 triangle inequality | 可三角剖分的 triangulable | 三角分解 triangular decomposition

triangular decomposition：三角分解

可三角剖分的 triangulable | 三角分解 triangular decomposition | 三角型 triangular form

triangular decomposition：三角[形]分解

可三角化的 triangulable | 三角基 triangular basis | 三角[形]分解 triangular decomposition

triangular decomposition：三角分解,三角形分解

triangular corner seal 三角形角密封片 | triangular decomposition 三角分解,三角形分解 | triangular distortion 三角畸变

triangular form：三角型

三角分解 triangular decomposition | 三角型 triangular form | 三角形矩阵 triangular matrix

trigram：三项元

trigonum olfactorium 嗅三角 | trigram 三项元 | trilinear decomposition 三线分解

chol :Choleski：分解

backsolve :解上三角或下三角方程组 | chol :Choleski 分解 | qr :矩阵的QR 分解