最后给出改善病态方程组的解的实例。
Then, as an example, the solution to the ill conditioned system of equations is also presented.
该积分方程是一病态方程。
该方法运用最小二乘回归法和抛弃平均法消除病态方程组。
In the method, the least square regression combined with the treatment of selective average is used to deal with the abnormal equations.
文中提出的坐标变换的方法为解病态方程提供了一条新思路。
This method of coordinate system transformation we developed in the paper may give a new way to solve the abnormal equations.
最小二乘法方程组在某些组合情况下也会出现严重的病态方程。
The least square simultaneous equations in some cases of combination also have the problem of the abnormal state equation.
无标样定量联立方程中经常出现的病态方程使定量结果出现很大的误差。
The problem of the abnormal state equation lead to the results of composition with large error.
在线性方程组求解的过程中采用了PCG法，增强了对病态方程组的求解能力。
PCG is used to solve the linear equations, boosting the ability for morbid equations.
求解低对称晶系晶胞参数的联立方程组的某些组合可使误差严重积累，构成病态方程组。
Some combinations of simultaneous equations for obtaining lattice constants of low-symmetry crystal systems can lead to a serious accumulation of errors and the formation of abnormal state equations.
针对法方程呈现病态且观测值受到污染而不严格服从正态分布的情况，探讨运用拟准检定法抗御粗差，用岭估计改善法方程的病态性。
This paper discusses the resistance of gross errors with quasi accurate detection and the improvement of ill conditioned equation with ridge estimate when the equation is ill conditioned and polluted.
回归方程的稳定性和病态。
线阵推扫式影像外方位元素间的强相关性，导致法方程病态，外方位元素的最小二乘估计值误差较大。
The strong interrelationship among exterior elements of linear pushbroom imagery induces normal equation severely ill-posed and least squares value deviated from the true value.
该算法首先求解目标的高度，避免了方程系数矩阵病态，因而在算法量相当的情况下，可获得较好的目标定位精度。
This algorithm, which first solves target's altitude and avoids ill-conditioned system of equation, can improve the location accuracy with the same operating complexity.
当法方程的系数矩阵呈病态时，平差参数的统计性质就要变坏。
If the coefficient matrix of the normal equation is ill-conditioned, the statistical character of adjustment parameter will become poor.
但是，如果考虑表面层，常规有限元法由于结构平衡方程病态而导致数值上的困难。
But if the surface layer is considered, the traditional finite element methods can not be used, since the ill-condition of structural equilibrium equations produce numerical difficulties.
将一种求解病态法方程的新方法——谱修整迭代法应用于单频GPS接收机快速静态定位。
A new iteration for solution normal equation is applied to GPS rapid positioning by using several-epoch single frequency phase data.
连续潮流法能较好克服潮流方程在极限点附近的病态，是求取静态电压稳定裕度的常用方法。
The continuous power flow method can readily overcome the abnormality of the power flow equation in neighborhood of limits and is frequently used for determining the static voltage stability margins.
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。
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.
方程是一病态积分方程其解很不稳定。
This equation is ill-posed and its solutions are extremely unstable.
结果表明：抗差主成分估计不仅可以解除法方程系数降的病态，而且对于抑制观测粗差的影响也有显著功效。
The results show that the robust principal component estimation can not only overcome the ill condition of the normal equation. but also resist the outlier effects to the model parameters.
文中同时对病态潮流问题及潮流方程的可解性也作了理论分析。
It also analyzes the abnormal load flow and suggests some methods to solve this problem.
液压高动态系统（如液压振动系统）含有大量非线性量，模型方程的病态率很高。
The hydraulic high dynamic system(e. g. hydraulic vibrating system) includes a large amount of nonlinear parameters. The mode expression of the system has very high stiffness.
采用时间项技术的三维初至折射波静校正方法在求解大型方程组时由于方程组的病态性质将遇到困难。
The 3-d first break refraction static corrections adopted time-term technique has difficulty in solving large-scale set of equations because of ill-conditioned property of set of equations.
利用自然水平函数，将众所周知的阻尼牛顿法进行推广，用于求解病态非线性方程组。
By using the so-called "natural level functions", we extend the well-known damped Newton method to solve ill-conditioned systems of nonlinear equations.
提出了通过处理原始方程组解决模型病态性的方法，通过实例验证了该方法的有效性。
The method for solving the ill-condition of model is put forward by improving the original linear equations. The result of its application verifies the effectiveness of th…
利用自然水平函数，将众所周知的阻尼牛顿法进行推广，用于求解病态非线性方程组。
Using natural spline functions with multiple knots, we discuss the extended Sard approximation of Linear functional.
利用自然水平函数，将众所周知的阻尼牛顿法进行推广，用于求解病态非线性方程组。
Using natural spline functions with multiple knots, we discuss the extended Sard approximation of Linear functional.
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