LU decomposition is a triangular decomposition approach of non-singular matrix, and the digital image can be seen as a matrix.

LU分解是一种将非奇异矩阵进行三角分解的方法，而数字图像也可以看作矩阵。

Based on the original precise integration method, the problem that singular matrix appears in non-homogeneous equation was discussed.

在原有精细积分法的基础上，对非齐次方程出现奇异矩阵的问题进行探讨。

Necessary cycle detection is added to avoid the singular matrix appearing after gross error compensation,. Simulation results verify the effectiveness of modified algorithm.

通过加入必要的回路检测，避免了幅度补偿后矩阵奇异性的产生，仿真结果表明了改进算法的有效性。

Furthermore, each element in the singular stiffness matrix can be expressed by some more simple analytic formulas.

而且奇异单元刚度矩阵中的各元素可以用较简单的分析式表出。

Using matrix iteration methods, the eigenvector derivatives can be iterated directly, solving the singular sensitivity equation can be avoided.

采用矩阵迭代法可以直接迭代计算特征向量导数，避免了对奇异灵敏度方程的求解。

The complex modal analysis method is generalized to the cases in which stiffness matrix may be singular and mass matrix, damping matrix and stiffness may be nonsymmetric.

把复模态分析法推广到刚度矩阵可以奇导且质量矩阵、阻尼矩阵和刚度矩阵均不必为对称的情形。

Singular value is a good characteristic of matrix.

奇异值是矩阵的一个良好特征。

A robust stability boundary of uncertain singular systems is proposed by utilizing singular value decomposition and the character of mode matrix.

并利用奇异值分解方法和模矩阵的性质，给出了使不确定广义系统鲁棒稳定的一个鲁棒界。

The proposed method uses the maximum singular value of an cumulant matrix to distinguish between voiced parts of the speech signal and noise.

提出一种采用累积量矩阵的最大奇异值来实现语音端点检测的方法，并引入一种自适应的实现方法。

In training phase, singular value vector of a lot of face image information matrix from face image sets constitutes face image sets characteristic matrix as a column.

在训练阶段，从人脸图像集中选取大量人脸图像的信息矩阵的奇异值向量作为矩阵中的一列而构成的人脸图像集特征矩阵。

Then, by Lyapunov function and linear matrix inequality(LMI), the sufficient conditions are given to make the singular networked control system exponentially stable.

利用李雅普诺夫函数方法和线性矩阵不等式方法，给出了广义网络控制系统指数稳定的充分条件。

Apply singular value decomposition and generalize inverse of the matrix to discuss the existence and uniqueness of the solution of the standard linear programming problem.

用矩阵的奇异值分解和广义逆讨论标准线性规划问题解的存在性和唯一性问题。

The quaternion matrix singular value perturbation theorem is generalized and these results are also new one for complex matrix.

本文对四元数体上矩阵奇异值摄动定理给出了推广，且这些结果对复矩阵也是新的。

In this paper, triangular method and matrix method have been suggested inorder to determine singular position of mechanisms.

该文提出确定机构奇异位置的两种方法：三角化法和矩阵法。

By using the method of matrix singular values decomposition, the general expressions of the least squares solutions are given.

利用矩阵的奇异值分解和矩阵分块方法，得到了最小二乘解的一般表达式。

The reason of the non-turning point failure is that some nonsingular points of original system are translated to the singular points of the extended Jacobian matrix by the parameterization.

造成非临界点失败的原因是参数化使得原系统中的非奇异点变为系统扩展雅可比矩阵的奇异点。

The minimum singular value of the power flow Jacobin matrix can be used to evaluate the voltage stability margin.

潮流雅可比矩阵最小奇异值可用来评估系统电压稳定裕度。

Singular value is extracted as to feature of cylinder explosive noise signal from Cover Matrix with singular value theory.

利用奇异值理论提取包含矩阵的奇异值作为气缸爆发噪声信号的特征。

In seismic inversion, the inverse matrix is mostly huge singular, the ordinary methods cannot be directly used to solve the equation, and the SVD technique must be used.

在地震波阻抗反演中，其反演矩阵多为接近奇异的大型矩阵，不能用一般方法直接求解，而要用奇异值分解(SVD)方法解方程。

Digital image is transformed into singular value matrix that contains non-zero singular values by singular value decomposition (SVD), the image is compressed.

通过对图像进行奇异值分解，将一幅图像转换成只包含几个非零值的奇异值矩阵，实现图像压缩。

By decomposing a matrix into one diagonalizable matrix and two orthogonal matrixes, singular value decomposition has very good properties.

奇异值分解是将一矩阵分解为一个对角矩阵和两个正交矩阵，奇异值分解有着非常好的性质。

This paper introduces a typical SNR estimation algorithm by the use of autocorrelation matrix singular value decomposition method.

主要介绍了一种典型的信噪比估计算法，并对信噪比的自相关矩阵奇异值分解估计法进行了研究。

It is also observed that all of the available sufficient conditions can be regarded as upper bounds of the structured singular value (SSV) of a related matrix.

发现现有的稳定性充分条件都可以被看作是某个矩阵的结构化奇异值(SSV)的上界。

The new estimation about lower bounds for singular value of matrix was presented, and the error in previous results were revised.

给出了矩阵奇异值下界的新估计，修正了以往结果的失误。

This paper presents an algorithm and a corresponding networks to deal with blind separation of sources in the case of singular mixing matrix.

混合信号盲分离问题是一类很难而又具有很强应用背景的问题，以往对这类问题的研究均在混合矩阵为非奇异的条件下进行。

The method of analyzing the observable degree of the state variable has been introduced by means of the singular value decomposition (SVD) of the observable matrix of a dynamic system.

介绍了基于动态系统可观测性矩阵奇异值分解的状态变量可观测度的分析方法。

The Singular Value Decomposition (SVD) method for the equilibrium matrix is developed and a physical explanation is given.

引入了平衡矩阵的奇异值分解（SVD）方法并解释了其力学含义。

In this thesis, we choose truncated singular value decomposition to solve the resulting matrix equations, while the regularization parameter of TSVD is determined by the L-curve criterion.

鉴于此，必须采用正则化方法，本文中选用的是截断奇异值分解，其正则化参数用l -曲线准则来确定。

By matrix operation, the invariance of image singular value vector about the reducing and enlarging transformation is proved, and this character is applied to the image matching.

通过矩阵运算，证明了奇异值特征矢量在图像做缩放变换时具有不变性，并将这种性质运用于图像匹配。