良态

引入累积法GM模型-一种新颖的参数估计方法，研究表明累积法GM模型条件数一般都较小，属于良态模型。

This paper introduces cumulative GM Method , a new method to estimate their parameter . Though practice , we get the condition number of cumulative GM Method is litter commonly , these models belong to well-conditioned model .

最优化技术中的良态搜索方向及其在非线性最小二乘法中的实现

The well-conditioned search direction in optimization techniques and its realization in method of nonlinear least squares

然而，科学与工程技术中还存在大量刚性问题，尽管问题本身是整体良态的，但当使用内积范数时，其最小单边Lipschitz常数却不可避免地取非常巨大的正值。

But for some stiff problems , it may happen that the one-sided Lipschitz constant is very large .

因而通过对数列的仿射变化，使系数矩阵全良态化，并建立新的GM（1,1）模型。

Then this thesis uses affine changes to make the coefficient matrix in absolute good state , and establishes new GM ( 1 , 1 ) model after affine changing .

LR算法将等效信道矩阵转换为一个良态矩阵，在转换域内LR能够提供一个很好的发射信号估计。

LR can transform the system model into an equivalent one with better condition . LR algorithm provides a good initial estimation of the transmitted signals .

然而，由于包含矩阵求逆与乘积运算，若直接计算AB？1，其条件数可能很大（即使A，B都是良态的），在有限字长条件下，QR迭代精度无法保证。

Of course , it is unpractical that straight computing AB ? 1 . Due to product and inverse calculate , the matrix condition number is bad and iterative computing accuracy can not be promised in limited words length condition .

上海环球金融中心工程场地良态风环境特性观测分析

Analysis of Normal Climate Condition Wind Characteristics for the Filed of Shanghai World Financial Center Project

边缘检测作为视觉系统的初级阶段，通常认为是一个非良态问题。

As the initial stage of the visual system , edge inspection is usually considered a non-well-conditioned problem .

给出了界面问题的混合有限元提法，由该提法可导出良态、小规模的有限元方程组。

A mixed formulation of interface problems is educed to lead to a well-conditioned and small scale system is .

通过势函数方式将波阻抗反演的病态问题转为良态问题，并且给出了边界保护势函数所具备的条件。

Using the potential function method , we turn the ill-posed inversion problem into good-posed one , and provide the conditions of the edge-preserving potential function .

不仅可以很快的解决良态问题，而且可以有效的求解病态问题，从而受到众多专家学者的青睐。

Not only it can quickly resolve the issue of good states , but also can effectively solve the ill-conditioned problems . So it wins the good graces of many experts and scholars .

在系统地讨论该算法的单元映射、伽略金方法的实施和单元间边界条件施加的基础上，将良态提出的理想匹配层公式应用到该算法中来以精确地建模无限大的计算区域。

Based on systematical description of its element mapping technique and implementation of Galerkin method and boundary condition between elements , the well-posed PML formula are applied into DGM in order to simulate the infinite computational domain . 7 .

这种算法的基本思想是通过交替地求解一个具有简单约束的线性变分不等式及一个良态的非线性方程组来逼近变分不等式问题的解。

The basic idea of the method is to approximate the solution of variational inequalities via solving alternately a linear variational inequality with simple constraints and a well-conditioned system of nonlinear equations . A remarkable merit of the alternating direction method is that it is easy to solve sub-problems .

利用此方法通过计算几个良（病）态线性方程组算例，说明该方法不仅具有一定的抗病态性，而且简单实用。

The results of several good ( ill ) - solving linear equation groups show that the method introduced here not only has anti-ill solving ability , but also is simple and practical .