The fast numerical algorithm of solving the normal equations with triangular decomposition is presented.
为提高双曲线拟合精度和速度,克服M2因子测量过程中受到随机误差的影响,采用正规方程组拟合双曲线的方法,给出了三角分解法求解正规方程组的快速数值算法。
Acquires the least squares solutions of the matrix equation AXB=E,CXD=F by constructing the normal equation of the matrix equation and applying the generalized singular-value decomposition of coefficient matrices.
借助于矩阵方程AXB=E,CXD=F的正规方程及系数矩阵的广义奇异值分解,得到了此矩阵方程的最小二乘解。
In this paper two reasons-the deviation of the data from the origin and the size of the data-causing the ill-conditioned normal equations in the least square fitting of a polynomial are discussed.
讨论了最小二乘多项式拟合中引起正规方程组病态的两个重要原因:节点对原点的偏离程度和节点坐标的数量级。
Research on Solving Laser Beam Quality Factor M~2 with Normal Equations
正规方程组求解激光束质量M~2因子方法的研究
This is called a normal system of differential equations.
这称为正规微分方程组。
Very general systems of differential equations can be reduced to the normal form.
形式很普通的微分方程组可以化为正规的形式。
THE GLOBAL EXISTENCE OF THE REGULAR SOLUTIONS OF THE COMPRESSIBLE EULER EQUATIONS WITH DEGENERATE LINEAR DAMPING
带线性退化阻尼项的可压缩欧拉方程组的整体正规解(英文)
Aitken's generalised least squares normal equation
艾特肯广义最小平方正规方程
The process by which the parties to a dispute submit their differences to the judgment of an impartial person or group appointed by mutual consent or statutory provision.
仲裁，公断争执双方将分歧诉诸双方共同认可或条例规定的公正的个人或组织的过程
Basic Finite Element Water-Hammer Partial Differential Equations Numerical Simulation and Inversion;
水锤偏微分方程组有限元方法正反演
On the Regularity of Solutions of Differential Equations in Complex Field;
关于复域上微分方程解的正规性问题
On normal solutions of a class of the Beltrami equations;
Beltrami方程正规解的一个注记
Schr?dinger Equation′s Gauge Variance and Maxwell Equations
薛定谔方程的规范变换与麦克斯韦方程组
(math) a condition specified for the solution to a set of differential equations.
（数学）解一组微分方程的规定条件。
Using Genetic Algorithms to Solve Large Scale Ill-Conditioned Linear Systems of Equation;
用遗传算法解大规模病态线性方程组
Existence Results of Positive Radial Solutions for a Class of p(x)-Laplacian Systems;
一类p（x）-Laplace方程组正径向解的存在性
On the Existence of Positive Solutions of Boundary Value Problems (for Systems) of Differential Equations;
微分方程（组）边值问题正解的存在性
The Positive Solutions for High-Order Nonlinear Ordinary Differential Systems;
高阶非线性常微分方程组的正解问题
Positive Entire Solutions of Singular Non-linear Harmonic Equations(Systems);
奇异非线性调和方程（组）的正整体解
Existence of Positive Solutions of Boundary Value Problems for Systems of Ordinary Differential Equations;
常微分方程组边值问题正解的存在性
The Study of Modified Newton Method for Nonlinear Equations;
求解非线性方程组的修正牛顿法研究
