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1)  pivoting least squares
选主元最小二乘
1.
The pivoting least squares method is used in the INS platform error model identification.
由于受输入加速度大小的限制,使得系统存在严重的复共线性,提出采用选主元最小二乘方法辨识惯导平台误差模型。
2)  least square finite element method
最小二乘有限元
1.
Based on the viscous incompressible Navier-Stokes equations,the space discretization of the flow was obtained by least square finite element method and the time evolution was obtained by finite difference method.
流体运动的Navier-Stokes方程应用最小二乘有限元进行离散,有限差分法用来进行时间推进。
2.
The least square finite element method is applied to solve the Navier-Stokes equations.
该法基于拉格朗日描述,在每个时间步上使用扩展的Delaunay划分更新计算网格,并应用α形方法识别自由面形状;用最小二乘有限元方法离散流体运动的Navier-Stokes方程,并推导了一种自适应时间步长方案以提高计算效率和鲁棒性;引入网格拉伸技术修正减小流体质量误差。
3)  mixed least-square finite element
混合元最小二乘
1.
Based on this weak form, a new kind of numerical methods for two-phase displacement problems is proposed: the mixed least-square finite element m.
为此,对该问题,本文中首先导出了混合元最小二乘方法的等价弱形式,并且证明了弱形式的对称正定性,在此基础上,提出了用混合元最小二乘方法求解压力方程,用特征有限元方。
4)  least-squares mixed finite elements
最小二乘混合元
1.
Fully discrete least-squares mixed finite elements method is discussed for the miscible displacement of one incompressible fluid by another in a porous media.
讨论了不可压缩混流驱动问题的全离散最小二乘混合元方法。
5)  quaternionic least squares
四元数最小二乘
1.
This paper introduced concepts of norms of quaternion matrices by means of complex representation of a quaternion matrix,studied the quaternionic least squares (QLS) problem and derived an algebraic method of finding solutions of the QLS problem in quaternionic quantum theory.
借助四元数矩阵的复表示,引进四元数矩阵范数,研究四元数最小二乘问题并得到了在四元数量子理论中解决四元数最小二乘问题的一种代数方法。
6)  least square method
最小二乘
1.
Research on data fusion algorithm of redundancy information based on least square method
基于最小二乘法的冗余信息数据融合算法实现
2.
The relative coordinate for straightness error is set up, the discrete values in coordinate are linked based on least square method, then coordinate transform is realized, some eddy genes and contained area conforming to least condition are confirmed using numerical method, the evaluation of straightness error is achieved by compare.
建立直线度误差的相对坐标,基于最小二乘对坐标内的离散点进行曲线拟合,而后对其进行相似坐标变换,利用数值分析方法得到坐标变换的一系列旋转因子(旋转参数)与满足最小条件的包容区域,最后通过比较法实现对直线度误差的数值判定。
补充资料:非线性最小二乘拟合
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性质:用最小二乘法拟合非线性方程。有些变量之间的非线性模型,通过变量变换可以化为线性模型,此称为外在线性。而有些变量之间的非线性模型,通过变量变换不能化为线性模型,通称为内在非线性。对于非线性模型y=f(ξ,θ)+ε,其残差平方和。S(θ)是θ的函数,当模型关于θ是非线性的,正规方程关于θ也是非线性的。基于使残差平方和s(θ)达到极小的原理求出θ的估计值,拟合非线性回归方程。

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