Ill-Posed相关论文
On Regularization of a Source Identification Problem in a Parabolic PDE and its Finite Dimensional A
We consider the inverse problem of identifying a general source term,which is a function of both time variable and the s......
The three factors(excitation,structure and response)of Impact dynamics relate to each other and form closed system,formi......
Converse and saturation results on Tikhonov regularization together with a posteriori parameter choi
Some converse and saturation results on Tikhonov regularization of nonlinear ill-posed problems are proved and the a pos......
Deconvolution problem is a main topic in signal processing. Many practical applications are re-quired to solve deconvolu......
本文探讨一种求解非线性不适定算子方程的正则化Newton迭代法.本文讨论了这种迭代法在一般条件下的收敛性以及其他的一些性质.这种......
研究了正则化方法中正则参数的求解问题,提出了利用微分进化算法获取正则参数.微分进化算法属于全局最优化算法,具有鲁棒性强、收......
时间反向热传导问题是一类典型的不适定问题.应用对偶最小二乘法给出了时间反向热传导问题的误差估计,同时用小波收缩方法给出了它......
对常用的经济分析与预测模型中的线性回归、时间序列及灰色系统信息矩阵的病态问题进行了讨论。通过对统计资料附加干扰，基于最小二......
逆热传导问题是数学物理反问题中的热点和前沿课题之一，在钢铁生产等领域中具有重要的应用背景．讨论一个多层介质中的逆热传导问题，它......
通过对一般多项式回归模型中的信息矩阵A=X^τX添加一个正则化因子α，使其变为X^τX＋αI，适当选取α，达到改善信息矩阵病态的目的；构造......
本文将不适定的思想引入无线物理层安全领域,提出不适定安全理论框架。首先,把不适定问题解的不唯一性或者不稳定性转化为信息冗余......
利用电流与空间磁场的对应关系，将电弧视为具有变弧径多条电流线集合。基于毕奥萨伐尔定律，通过正演分析获取组合电弧电流线在空间的......
Numerical experiments on non-linear equations of the 1st-and 3rd-order derivatives have been carried out through structu......
随着科技发展,不适定问题出现在地球物理等多种领域。正则化方法是求解此类问题近似解的有效算法。该文将Fractional Tikhonov正则......
当平差模型为不适定模型时,比如模型病态时,一般是在均方误差准则条件下求得参数的有偏估计。有偏估计在参数的求解过程中,偏参数......
数学物理方程反问题是一新的数学方向。本文系统地分析了数理方程反问题以及求解不适定问题的方法,阐明了反问题与不适定问题之间......
确定热传导方程中的线性源项是一类有重要应用背景的反问题，它在Hadamard意义是不适定的，讨论了获得其稳定数值解的计算方法，给出一种......
本文研究了正则化方法中正则参数的求解问题，提出了一种新的正则参数求解策略，即利用遗传算法基于广义交叉检验准则求解正则参数，数值......
通过引进适当的能量泛函,建立了一个对圆环域上的解依赖于区域大小的Hlder条件稳定性,得到了在局部区域上Hlder型的稳定性估计......
针对GNSS网络实时动态（RTK）参考站间模糊度解算病态性问题,分析了病态性对模糊度浮点解影响,并基于无电离层组合解算模糊度基本模型,......
研究在二维圆形场域和相邻电流激励条件下,电压相邻测量协议和交叉测量协议对病态性的影响。相比相邻测量协议,交叉测量协议整体提......
Non-standard backward heat conduction problem is ill-posed in the sense that the solution(if it exists) does not depend ......
Unbounded operators can transform arbitrarily small vectors into arbitrarily large vectors—a phenomenon known as instab......
讨论了三类不适定性问题的广义解.通过对反问题不适定性的分析,揭示了这样的事实,即试图通过有限且带有误差的测量数据,完全和精确......
Coordinates transformation is generally required in GPS applications. If the transformation parameters are solved with t......
A Cauchy problem for the elliptic equation with variable coefficients is considered. This problem is severely ill-posed.......
We consider a ill-posed problem-fractional numerical differentiation with a new method. We propose Fourier truncation me......
Orthogonal Series Estimation of Nonparametric Regression Measurement Error Models with Validation Da
In this article we study the estimation method of nonparametric regression measurement error model based on a validation......
We consider the problem of estimating a function g in nonparametric regression model when only some of covariates are me......
针对对流扩散方程逆过程反问题是不适定问题,利用分离变量的方法将该问题转化为第一类Fredholm积分方程,并借助于Phillips光滑迭代......
本文描述了用外部磁测量信号,和等离子体总电流,以及角向β_p的测量值,重建托卡马克中等高子体半衡的方法。对圆截面、非圆截面和......
THE QUASI-BOUNDARY VALUE METHOD FOR IDENTIFYING THE INITIAL VALUE OF THE SPACE-TIME FRACTIONAL DIFFU
In this article,we consider to solve the inverse initial value problem for an inhomogeneous space-time fractional diffus......
In this article, we develop estimation approaches for nonparametric multiple regression measurement error models when bo......
In this paper, we consider the problem for determining an unknown source in the heat equation. The Tikhonov regularizati......
A Cauchy problem for the semi-linear elliptic equation is investigated. We use a filtering function method to define a r......
In surveying adjustment models,there is usually some uncertain additional information or prior information on parameters......
