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.
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 problem of the convolution result and real seismic data can be considered as the solution of a huge rarefactional matrix equation, which can be solved by singular value decomposition.
然后将其与地震子波褶积，使其求解结果与实际地震数据的最小平方问题归结为求解一大型稀疏矩阵方程，并采用奇异位分解法求解。
Successive approximation and least square collocation are used to find the solution of geometrically nonlinear bending problem of orthotropic rectangular plates.
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。
The nonlinear least square method and functional condition extremum model are introduced to describe the problems and numerical solution of them is proposed.
首先确定了自由度组合到指尖空间位置的映射，建立了求解上述问题的最小二乘模型、泛函条件极值模型，并给出了数值解法。
We proved that each square quaternion matrix has at least one right characteristic principal value and its eigenvector, and a concrete solution was given.
证明了对每一个四元数矩阵，至少存在一个右特征主值，存在一个属于它的特征向量，并给出了具体的求解方法。
The least - square method applied to CCD graph fitting is analysed, and a further solution of the problematic point in the application is given.
分析了最小二乘拟合法在CCD采样曲线拟合中的应用，对应用中存在的问题及其解决方法做了进一步的探讨。
Firstly, the error of fit must be defined for nonlinear least-square fitting of generalized geometry model. Then the nonlinear optimization algorithm can be used to obtain the optimum solution.
对于一般几何模型的非线性最小均方误差拟合，首先必须定义拟合误差，然后采用非线性最优化方法求解最小误差意义下的最优解。
Firstly, the error of fit must be defined for nonlinear least-square fitting of generalized geometry model. Then the nonlinear optimization algorithm can be used to obtain the optimum solution.
对于一般几何模型的非线性最小均方误差拟合，首先必须定义拟合误差，然后采用非线性最优化方法求解最小误差意义下的最优解。
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