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。
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。
An algorithm was constructed to solve the least squares bisymmetric solution of a class of matrix equation.
构造了一种迭代法求一类矩阵方程的最小二乘双对称解。
A least squares solution via singular value decomposition is used to solve the matrix equation.
本文使用奇异值分解法求解矩阵方程的最小二乘解。
By this iterative method, the solvability of the equations can be determined automatically, and its reflexive matrix solution or least-norm reflexive matrix solution can be got within finite steps.
该算法可以判断矩阵方程组是否有自反矩阵解，并在有自反矩阵解时，可以在有限步迭代计算之后得到矩阵方程组的一个自反矩阵解或者极小范数自反矩阵解。
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。
In this paper, an iterative method is presented to find the least squares centrosymmetric solution to a kind of matrix equations.
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。
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.
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.
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。
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