Banach空间中非扩张映象的几个收敛定理

在适当的条件下得出了Banach空间中非扩张映象的几个收敛性定理,所得结果改进和推广了文〔5,6,8,9,10,11,12〕的主要结果。     

采用A-光滑正则化的求解非线性不适定问题的一种Newton 型方法

In this paper we present a regularized Newton-type method for ill-posed problems, by using the A-smooth regularization to solve the linearized ill-posed equations. For noisy data a proper a posteriori stopping rule is used that yields convergence of the Newton iteration to a solution, as the noise level goes to zero, under certain smoothness conditions on the nonlinear operator. Some appropriate assumptions on the closedness and smoothness of the starting value and the solution are shown to lead to optimal convergence rates.     

Fourier型问题的数值解

本文利用吉洪诺夫正则化方法 ,给出了Fourier型问题的数值解 .     

高校自科学报参考文献著录中存在的问题

列举了高校自科学报参考文献著录中存在的常见问题，分析了产生问题的原因，指出编者熟练掌握参考文献著录格式是解决问题的关键。     

Wavelet-based deconvolution of ultrasonic signals in nondestructive evaluation

INTRODUCTION Deconvolution of ultrasonic signals is defined as the solution of the inverse problem of convolving an input signal, known as the system function h(n), with a medium reflectivity function x(n) and can be rep- resented by y(n)=h(n)*x(n) η(n), (1) where y(n) is the measured signal, * denotes the convolution operation and η(n) is the additive noise. Recovering x(n) from the observation y(n) leads to improving the appearance and the axial resolution of the RF-signals by removin…     

变分不等方程解的逼近程序

本文研究Hilbert空间中投影方法及其对变分不等方程近似解的具误差的迭代序列:xn 1=(1-αn)xn αnPk(xn-Txn) un的收敛性.本文结果发展和改进了最近一些人的最新结果.     

从专业素质教育谈推拿学课程考试改革

推拿学是运动医学领域内的一门操作性极强的实践性课程,也是国家教委指定的体育专业学生的一门必修课程。借鉴和参照竞技体育裁判规则和评价尺度,结合专业学科的实际情况,制定出具有较好科学性、客观性、标准性及可操作性的推拿手法操作技能的考核与评定方法。以推拿技能操作考核为主笔试为辅,客观、公正地评价考生的推拿技能,以考促教,加强学生专业素质和实际动手能力的培养。     

多值φ-强伪压缩映像不动点的迭代逼近

在一致光滑的实Banach空间中,研究多值φ-强伪压缩映像不动点的Ishikawa迭代逼近问题.给出了具误差的Ishikawa迭代序列逼近多值φ-强伪压缩映像不动点的强收敛定理,并得到了具误差的Ishikawa迭代序列逼近多值φ-强增生映像方程解的强收敛定理,改进了近期一些文献的相关结论.     

解线性方程组的迭代方法之比较

主要讨论目前已有的解线性方程组迭代方法的优点及缺点．重点讨论解线性方程组的Jacobi迭代法（J法）、Gauss—Seidel迭代法（GS法）、逐次超松驰法（SOR法）和共轭梯度法（CG法）4种方法．针对这4种解线性方程组的迭代方法,从迭代法的收敛性、迭代法的收敛速度、每迭代一次所需的计算量及实际计算时需要的存贮量等四个方面进行了比较和误差估计,并根据比较和分析作了总结．     

Optimal parametrization in numerical construction of curve

The application of the optimal parametric continuation method to constructing a solution set curve for a system of nonlinear algebraic or transcendental equations depending on a parameter is considered. There are discussed two approaches to solving this problem—the use of iterative methods and reduction to an initial value problem for a system of ordinary differential equations. The algorithm suggested in this paper can also be used for finding an appropriate initial approximation when solving a system of nonlinear algebraic or transcendental equations not depending on a parameter by an iterative method.