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。
Improved algorithm on normal equation method for aggregate proportion design of mixture;
混合料配合比矿料组成设计的改进正规方程法
While calculating the aggregate proportion in the ratio of mixture design by normal equation method,the value of solution may be negative,or the result gradation of the compound may go beyond the standard range.
为解决正规方程法进行混合料配合比矿料组成设计时出现负数解及混合料级配超出理论界限范围的问题,采用迭代算法,先按正规方程法计算矿料组成比例系数,将得到的混合料级配作为目标级配初始值,对超出理论级配上限或下限的目标级配值强制调整为相应的界限值,当组成比例系数为负数时则取消对应的矿料,根据修正后的目标级配再利用正规方程法计算新的矿料组成比例系数,并得到新的混合料级配及新的目标级配,经过迭代计算得到完全满足理论设计级配范围要求的解。
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。
Aitken's generalised least squares normal equation
艾特肯广义最小平方正规方程
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。
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
Hyperbolic Tangent Function Method and New Solitary Wave Solutions for Regularized Long Wave Equation;
双曲正切函数方法和规则长波方程的新孤波解
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 ~*Congruence Class of the Solutions of Matrix Equations and Generalized Inverses of a Normal Matrix;
矩阵方程的合同类解与正规矩阵的广义逆
On Subnormal Solutions of n-Order Linear Periodic Differential Equations
关于n-阶线性周期微分方程的次正规解
Subnormal Solutions of Second Order Homogeneous Linear Differential Equations with Periodic Coefficients
周期系数二阶齐次线性微分方程的次正规解
Research on the Comparison of Wilson Equation and Regular Solution Model in the Al-based Liquid Alloy Systems;
Wilson方程和正规溶液模型在铝基液态合金体系中的比较研究
Seismic Modeling and Reverse-time Migration with a Finite-difference Method on Irregular Grids;
非规则网格有限差分法声波方程地震正演模拟及逆时偏移
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)
Conforming to orthodox rules, as of procedure.
权威的遵守正统规则的,如程序规则的
Comparison between Lagrange Equation and Hamilton Canonical Equation in Application;
Lagrange方程与Hamilton正则方程应用方法的比较
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
Modified Tikhonov Regularization Method for the Cauchy Problem of the Laplace Equation
Laplace方程Cauchy问题的修正Tikhonov正则化方法
Specification of test methods for earthquake resistant building
建筑抗震试验方法规程
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