解线性最小二乘问题时,通常都要解所谓正规方程。
Generally, a linear least squares problem leads to ihc solution of the so called normal equation.
本文主要讨论了线性流形上复对称矩阵的最小二乘问题。
This paper mainly discusses the least squares problem of complex symmetric matrices on a linear manifold.
首先讨论子阵约束下实矩阵反问题的最小二乘问题,给出了解的一般表达式。
Least-squares problem of the real matrices is discussed and the expression of general solution is given.
本文介绍一个计算直交投影的递推公式,并介绍如何用其求解线性最小二乘问题。
A recursive formula for orthogonal projections and its application to the least squares problem are introduced in this paper.
将输出反馈极点配置问题转化为非线性最小二乘问题,用LM方法解出具有最小范数的反馈矩阵。
The output feedback pole assignment problem is transformed to a least square problem. The feedback matrix can be obtained by using LM algorithm.
对于一般的无约束最优化问题及其特殊情况非线性最小二乘问题而言,信赖域方法是一种有效的方法。
Trust region method is a kind of efficient methods to solve the general unconstrained optimization and its special situation, the nonlinear least squares problems.
反演过程归结为求解非线性最小二乘问题,在使用阻尼最小二乘法求解中提出了一种新的选取阻尼因子的算法。
The inverse process is equivalent to solve a nonlinear least square problem and a new way to choose damping factor is presented in utilizing the damping least square method.
这种方法能够保证辨识出的参数是最佳的;而且不用求解对应的非线性最小二乘问题,只需求一元多项式的根,从而大大减少计算量。
This approach can guarantee that the identified parameters are optimal, by solving a one-dimensional polynomial equation instead of a nonlinear least square problem.
另一类变量与向量函数呈非线性关系。 对于后一类变量,用弃舍随机方法先给出位置初值,然后将问题化为线性最小二乘问题,直接解超定方程组。
The overdetermined equations can be solved directly by using the rejection method to give the initial value of the position first and then converting the problem into a linear—square one.
根据非线性规划问题的网格并行运算的要求,在分析非线性最小二乘问题的迭代法的基础上,提出了非线性最小二乘问题的并行迭代法来提高其并行度。
According to the request of grid concurrent operation of nonlinear programming, the parallel repetitive process is proposed to enhance its parallel based on analyzing the repetitive process of NLS.
本文考虑二维FIR滤波器的约束最小二乘设计问题。
Constrained least-squares design of two-dimensional FIR filters is considered in this paper.
本文用最小二乘配置法求解正交异性极扁薄壳承受横向载荷作用下几何非线性弯曲问题。
This paper solves problems of geometrically nonlinear bending of very flat and thin orthotropic shell under transverse load with least square method of collocation.
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。
The least - square method applied to CCD graph fitting is analysed, and a further solution of the problematic point in the application is given.
讨论了四元数量子力学中带有谱约束的最小二乘解反问题,得到了此问题有解的充分条件。
The inverse least square problem with spectral constraints is also studied and a sufficient condition is given for its solvability.
讨论了一类次对称矩阵反问题的最小二乘解,得到了解的具体表达式;
The least-squares solutions of inverse problems of a class of skew-symmetric matrices is discussed, and the expression of the solution is obtained.
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。
The nonlinear least square method and functional condition extremum model are introduced to describe the problems and numerical solution of them is proposed.
运用谱系聚类方法解决多核最小二乘支持向量机的解缺乏稀疏性的问题。
The hierarchical clustering method is applied to deal with the problem that the solution of MLS-SVM is lack of sparseness.
应用遗传算法解决非线性最小二乘模型参数估计问题。
Solved the nonlinear Least square problem based on Genetic Algorithms.
本文研究了一类矩阵问题的最小二乘逼近解,给出了解的表达式,提供了一个数值解法。
In this paper, we consider the least-square approximate solutions of a class of matrix problems. The expression of the solutions is provided and a numerical method is described.
研究了无穷边界的二阶椭圆问题,探讨了将其转化为一阶系统的最小二乘有限元逼近方法。
A least-squares mixed finite element methods for the first-order system formulation of second-order elliptic problems and a formulation for the infinite boundary conditions are presented.
本文探讨了如何加快最小二乘参数估计的参数跟踪速度问题。
How to quicken the speed of parameter tracking for the least-squares estimate is studied in this paper.
在最小二乘反演中,加入体积因子以解决多解性问题,并提高了反演精度;
Using volume-gene in least-squares can ensure stability of iterative process and improve precision of inversion.
针对利用导弹引信多普勒频率数据求取脱靶量的问题,提出了一种非线性最小二乘优化参数估计方法。
In regard of evaluating miss distance of using missile fuze Doppler spectrum data, a optimizing parameter estimated method of nonlinear least square is put forward.
基于区间分段思想,将极化曲线非线性参数辨识转化为两个线性最小二乘辨识子问题。
The nonlinear parameter identification of fuel cell polarization curve was converted into two sub-problems of linear least square identification based on interval segmentation technique.
在最小二乘测量平差的函数模型求解问题中,最后都归结为线性方程组的求解问题。
Measured in the least squares adjustment of the function model to solve problems, eventually reduced to the problem of linear equations.
为解决区域化探中的多图幅系统误差校正问题,提出了一种最小二乘准则下的计算方法。
To solve the problem about multi-map systemic error correction in regional geochemical exploration, a computing method based on the least squares methods is developed.
本文用最小二乘配点法分析弹性壳体弯曲问题。
This paper analyses elastic shell-bending problems by means of the least-square collocation method.
讨论了线性流形上广义次对称矩阵反问题的最小二乘解及其逼近问题。
The least squares solution of inverse problems of generalized skew symmetric matrices and It's optimal approximation problems are discussed.
讨论了线性流形上广义次对称矩阵反问题的最小二乘解及其逼近问题。
The least squares solution of inverse problems of generalized skew symmetric matrices and It's optimal approximation problems are discussed.
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