本文使用奇异值分解法求解矩阵方程的最小二乘解。
A least squares solution via singular value decomposition is used to solve the matrix equation.
本文给出了复指数信号模型非线性最小二乘解的几何结构。
The geometric structure of nonlinear least squares solution for signals by complex exponents is offered in this paper.
讨论了线性流形上广义次对称矩阵反问题的最小二乘解及其逼近问题。
The least squares solution of inverse problems of generalized skew symmetric matrices and It's optimal approximation problems are discussed.
讨论了一类次对称矩阵反问题的最小二乘解，得到了解的具体表达式；
The least-squares solutions of inverse problems of a class of skew-symmetric matrices is discussed, and the expression of the solution is obtained.
当系数矩阵也存在噪声时，总体最小二乘解是参数向量的强一致估计。
When the datamatrix is also inaccurate, TLS can give strongly consistent estimation.
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。
By using the method of matrix singular values decomposition, the general expressions of the least squares solutions are given.
最后，基于优化的总体最小二乘解确定光学特征点相对世界坐标系的姿态。
Finally, the attitude of optical characteristic points relative to the word coordinate system was obtained based on the optimization solution.
讨论了四元数量子力学中带有谱约束的最小二乘解反问题，得到了此问题有解的充分条件。
The inverse least square problem with spectral constraints is also studied and a sufficient condition is given for its solvability.
这种方法利用频域测量矩阵直接给出了圆度形状误差和回转误差的最小二乘解或最小均方误差解。
The least square solution and minimum mean square error(MMSE) solution for roundness error and spindle error was derived by measurement matrix in frequency-domain.
使用该方法，对任意给定的初始中心对称矩阵都可在有限步内迭代求出它的中心对称最小二乘解。
Then the direct centrosymmetric solutions were obtained by applying the iterative method in finite steps an arbitrary initializing centrosymmetric matrix.
用直接斜率法进行波前重构，采用最小二乘解，并用波前重构矩阵的条件数作为其病态程度的判据。
Zonal wavefront reconstructing model is adopted, the least squares solution is applied, and the condition number of wavefront reconstruction matrix is used to estimate how its morbidity is.
介绍了圆度误差分离中的频域最小范数混合解，这种混合解比最小二乘解和最小均方误差解具有更好的噪声抑制效果。
A new hybrid minimum norm solution in frequency domain was also considered, which is better in suppressing the impact of noise on error separation th...
通过求解由一阶泰勒展开式得到的线性方程组，避免了为求解此平面而求解非线性方程组最小二乘解的过程，使算法简化。
The first order Taylor series expansion replaces the non-linear equation used in solving this plane, and thus simplifies the algorithm.
该方法不需要输入对端系统等值阻抗，解算中运用了最小二乘技术，从理论上保证了该测距算法具有较高的测距精度。
The method doesn't need to input the far - end equivalent impedance, while the solution is obtained by using the method of least squares, which theoretically ensures high accuracy.
构造了一种迭代法求一类矩阵方程的最小二乘双对称解。
An algorithm was constructed to solve the least squares bisymmetric solution of a class of matrix equation.
用逐次逼近法和最小二乘配点法求正交异性矩形薄板弯曲的几何非线性解。
Successive approximation and least square collocation are used to find the solution of geometrically nonlinear bending problem of orthotropic rectangular plates.
本文提出了求一类矩阵方程组的最小二乘中心对称解的一种迭代法。
In this paper, an iterative method is presented to find the least squares centrosymmetric solution to a kind of matrix equations.
这种方法采用移动最小二乘函数来近似解变量，并且采用移动最小二乘近似函数的权函数作为加权残值法的权函数。
It used the moving least square approximation as a trial function, and used the weighted function of the moving least square approximation as a test function of the weighted residual method.
目前算法可以分成两类：即闭形解和最小二乘迭代拟合。
The algorithms can be classified into two categories: a closed form solution and an iterative least squares fitting.
结果显示不等式限制条件下的最小二乘平差的传统解实际上是基于后验分布模式下的贝叶斯解，而且从方差最小的意义上来讲它不是最优解。
The results show that traditional solution of LSI is actually a Bayes solution based on the mode of the posterior distribution and that it is not the best solution in the sense of variance minimizing.
进而不用初值就能求出最小二乘意义下机构参数全部最优解的近似值。
And then proceed to find the approximate value of all optimal solutions of mechanism's parameters under the significance of least square without using the initial value.
通常的参数估计方法如加权最小二乘，只能给出浮点解，包括模糊度向量也只是实数解。
Through standard parameter estimation like weighted least squares only the "floating solution" - including the vector of ambiguity-can be given.
另一类变量与向量函数呈非线性关系。 对于后一类变量，用弃舍随机方法先给出位置初值，然后将问题化为线性最小二乘问题，直接解超定方程组。
The overdetermined equations can be solved directly by using the rejection method to give the initial value of the position first and then converting the problem into a linear—square one.
在研究基于最小二乘理论的多维力传感器静态线性解耦方法的同时，提出了一种基于BP神经网络的静态非线性解耦方法。
The least square theory-based static linear decoupling method is studied, and a new static decoupling method based on BP artificial neural network is proposed.
运用谱系聚类方法解决多核最小二乘支持向量机的解缺乏稀疏性的问题。
The hierarchical clustering method is applied to deal with the problem that the solution of MLS-SVM is lack of sparseness.
本文研究了一类矩阵问题的最小二乘逼近解，给出了解的表达式，提供了一个数值解法。
In this paper, we consider the least-square approximate solutions of a class of matrix problems. The expression of the solutions is provided and a numerical method is described.
解线性最小二乘问题时，通常都要解所谓正规方程。
Generally, a linear least squares problem leads to ihc solution of the so called normal equation.
边界积分方程首先被转化为相应的变分形式，然后用移动最小二乘近似的形函数构造解空间。
The BIE is firstly converted into a variational formulation, and then the MLS shape functions are used to generate the approximate space.
对于测量的数据采用直接最小二乘拟合，从而可以解算出工件的曲率。
The data for the measurement can use direct least square fitting to solve the curvature of the workpiece.
对于测量的数据采用直接最小二乘拟合，从而可以解算出工件的曲率。
The data for the measurement can use direct least square fitting to solve the curvature of the workpiece.
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