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1)  least square line
最小二乘直线
1.
For the auto examination of the component part which is assembled by frequently-used revolving bodies,this paper deduced some formula using least square circle,least square line and coordinate transformation.
本文针对常用回转体组合零件自动检测的需要,利用最小二乘圆与最小二乘直线拟合以及坐标转换的方法,推导了相应理论计算公式,并据此得到了一套自动消除系统误差的新方法。
2)  Least-Squares Line Template Matching
最小二乘直线模板匹配
3)  least-square line regression
最小二乘直线拟合
4)  direct least square
直接最小二乘
1.
The algorithm for direct least square ellipse fitting based on robust estimation is introduced, which integrates the gross error detecting by robust estimation and conic parameter constraint of ellipse.
将稳健估计剔出粗差与椭圆的二次曲线参数限制条件相结合,给出了基于稳健估计的直接最小二乘椭圆拟合算法,以Matlab语言实现上述算法,并采用上海长兴岛至浦东越江隧道工程实测数据进行验证。
5)  nonlinear least square
非线性最小二乘
1.
Implementation of nonlinear least square with global convergence in Forstat
全局收敛的非线性最小二乘在Forstat中的实现
2.
The Gauss-Newton method is applied to solve the nonlinear least square equations and a simple and applicable iterative formula is deduced, which is locally convergent and divergent sometimes.
介绍了采用非线性最小二乘方法回归乙烯深度氧化反应动力学方程。
3.
Through transferring solution procedure,the problem was inverted into nonlinear least square optimization process with constraint conditions in two stages using function lambertw and function lsqnonlin.
对生态学领域的高精度参数确定问题提出了一种解决方案,结合实例,利用肖维奈特准则进行回归分析筛选数据,利用MATLAB工具中vpa和dlmwrite函数来保证数据传递的精度,并变换求解格式利用lambertw函数和lsqnonlin函数将问题转化为带约束条件的非线性最小二乘两级优化过程加以解决。
6)  nonlinear least squares
非线性最小二乘
1.
Algorithm of nonlinear least squares adjustment of any plane networks with coordinates computed automatically;
任意平面网坐标自动解算的非线性最小二乘平差算法
2.
A new newton iterative algorithm for solving nonlinear least squares problem;
一种新的求解非线性最小二乘问题的牛顿迭代算法
3.
Unified model and ill-posed property of numerical iterative formula for solving nonlinear least squares problem;
非线性最小二乘问题数值迭代法的统一模型及其不适定性
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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