查询词典 least squares

The performance function and constraint equation in calculus of variations were constructed by analyzing input and output equations of the system containing parameters to be estimated. The traditional parameter estimation problem could be transformed to that of least squares estimation.

通过分析包含待估参数的系统输入输出方程，构造变分法中的性能范函和约束方程，将传统的参数估计问题化为带约束条件的最小二乘估计问题；利用拉格朗日乘子法，分析参数估计方程，得到参数的最优估计。

Using partial least squares in conjunction with the chebyshev polynomial representation, the expression for the simplifying model is built, and is provided to determine the optimal MR damper marker.

采用偏最小二乘法误差估计、Chebyshev多项式拟合建立了MR阻尼器简化模型的参数化表达式，为合理选择MR阻尼器提供了便捷的可靠的手段。

By disposal of partial least-squares regression, the collinearity of roadway surrounding rock displacement influence factors is removed and the principal components having optimum explanation to dependent variables are extracted. It makes node numbers of neural network input layer cut down to three from seven, and has effect of simplifying structure and strengthen stability of neural network.

通过偏最小二乘回归对巷道围岩的位移影响因子的处理，消除了影响因子的线性相关性，并提取了对因变量解释性最强的成分，使BP网络的输入层节点数目由原来的7个减少到3个，起到了简化网络结构，增强网络稳定性的作用。

Least-squares method and matching collocation method are two frequently used ideas which are applied to virtual boundary element method.

等额配点法和最小二乘积分法是两种最常用的虚边界元法构造思路。

The method presented in this paper provides a new tool for least-squares collocation calculation.

该成果为最小二乘配置法提供了一种新的解算方法。

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)。

A new fast algorithm of the minimal norm least squares solution for the linear system whose coefficient matrix is an m×n Loewner-type matrix with full column rank is given by forming a special block matrix and researching its triangular factorization.

通过构造特殊分块矩阵及其三角分解给出了求秩为n的m×n阶Loewner型矩阵为系数阵的线性方程组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 Chapter three, by constructing a special partitioned matrix and studying the fast triangular factorization of its inverse matrix, we respectively give fast algorithms for the minimal norm least squares solutions of linear equations which coefficient matrices are n×m Toeplitz type matrices and Vandermonde-Loewner type matrices with full column rank.

第三章通过构造特殊分块矩阵并研究其逆矩阵的快速三角分解，分别给出了求以秩为m的n×m阶Toeplitz型矩阵和Vandermonde-Loewner型矩阵为系数阵的线性方程组极小范数最小二乘解的快速算法，并通过算例将新算法与已有的法方程组的方法和正交化方法作了比较。

To avoid the effect of interaction between the two components on the determination, the column vector of K matrix obtained from the standard mixtures with least squares was used as the pure spectrum of component.

在550 nm～630nm内取41个波长测量7组标准混合溶液的吸光度作为校正集，用最小二乘法求得的系数矢量作为各组分的纯光谱。

Validating experiment was carried out on IKONOS2 images, and showed that resultant regression coefficients were more acceptable for their physical meanings, and that the discribed method performed comparable with spectral response function or least squares based methods.

通过IKONOS-2全色与多光谱图像的融合实验，结果表明：该方法所求得的回归系数具有明确物理意义，符合实际情况，并且与光谱响应函数法、最小二乘法相比，其融合质量基本保持一致，并且由于该方法不需要先验知识，故其实用性较强。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。