再构造

The forth algorithm is the same as the third one with an addition of finite termination criteria. Although the latter two algorithms have only linear rate of convergence, they are especially suitable for large-scale and sparse problems, with features of simple formula, small storage, sparsity preservation and easy implementation.

前者借助NCP函数把互补问题转化为等价的非光滑方程组，再用带参数的光滑方程组近似这些非光滑方程组，最后用牛顿型方法求解所得到的光滑方程组，希望通过光滑参数趋于零得到原来互补问题的解；后者基于等价不动点格式，构造了一个光滑迭代算法和一个具有有限终止性质的算法，虽然这种迭代算法仅有线性收敛速度，但由于其格式简单、存储量小、保稀疏性、非常易于计算机实现等特点，故较适用于求解大规模稀疏问题。

Human face is a very complicated, multidimensional and nonrigid pattern, which has very complex physiological structure. What's more, due to people's familiarity with and sensitivity to the human face, it is comparatively difficult to do research of the human face.

由于人脸是一种极为复杂的、多维的模式，也是一种典型的非刚性模式，具有非常复杂的生理学构造，再加上人们对人脸的熟悉和敏感，因而人脸方面的研究相对来说比较困难。

Exive least-squares solutions, antire?exive least-squares solutions, bisymmetric least-squaressolutions, symmetric and antipersymmetric least-squares solutions, symmetric or-thogonal symmetric least-squares solutions, symmetric orthogonal antisymmetricleast-squares solutions and their optimal approximation to the linear matrix equa-tion AX = B, and solve them successfully. 2. For Problem II, we can convert it to another problem of finding the least-squares solutions with the least norm of a new consistent matrix equation. Onthe base of the solutions of Problem I we can apply the iterative method to get

本文所构造的迭代法的优点在于先利用法方程变换将求矩阵方程的最小二乘解转化为求一个相容矩阵方程的解的问题，再利用迭代法对于任意给定的初始矩阵进行迭代，均可在有限步内迭代出所求问题的一个解；可将问题II转化为求新方程的极小范数解的问题，同样用迭代法求解，从而系统且全面地解决了问题I、II在约束矩阵类如中心对称、中心反对称、自反矩阵、反自反矩阵、双对称、对称次反对称、对称正交对称、对称正交反对称矩阵中的最小二乘解及其最佳逼近问题。

The new methodof defining spline function will generalize the concept to the more universal Hilbert space. Hence, we take into consideration the interpolation spline function, general linear differential operater in semi- open interval and the Green function defined accordingly, and the reproducing kernel to produce the Green function and prove the existence of the reproducing kernel.

采用了一种新的样条函数的定义方法，把样条函数的概念推广到更一般的Hilbert空间上，再考虑半开闭区间a，+∞上的插值样条函数，一般线性微分算子及其定义的Green函数和再生核，构造出Green函数并且证明了再生核的存在性。

Then we can turn the existence of periodic solution of this class of equations into the solvability of a operator equation.

再由这类方程的特点构造H→H的算子，将求周期解问题转化为求算子方程问题。

On the basis of common GM(1,1) model and by means of establishing residual error periodic extensional model, the authors extract predominant period and reconstruct a new data sequence; then after superposing the values of the same time in different period, a ray-periodic extensional combinatorial model is built.

提出了灰色–周期外延组合模型，即在一般灰色模型GM(1，1)的基础上建立残差周期外延模型，并提取优势周期以重新构造新的数据序列，再将不同周期同一时刻的值叠加。

An complete algorithm for reconstruction of polyhedral model from orthographic views based on combination of independent loops is proposed.

提出了一种基于平面独立环路组合的多面体视图三维重建完整算法，即先把三视图中的每个视图分解成一个个独立的不可再分的平面独立环路，然后从三面视图的三个环路组中逐个取出可能的环路组合按构造实心体几何方法构成局部实心体模型，最后将局部实心体模型组合成整体实心体模型。

As an illustration, a single-item single-criteria procurement auction under proposed mechanism is addressed detailedly on bidding process and both-side players\ strategies, including suppliers\ optimal bidding, procurer\s bid evaluation, winner determination, rebidding suggestion construction and so on.

在密封式循环拍卖机制的基础上，本文继而针对单物品单属性采购详细设计和讨论了拍卖双方的行为策略，包括供应商的最优投标策略，采购商的投标评估过程，优胜者选择程序和再投标建议构造等。

Firstly, image is decomposed into two serials, which are predicted and updated by two-order Neville filter on rectangle and quincunx grid by turns.

首先将图像分解为两个序列，用2阶Neville滤波器构造预测和更新算子，对两个序列以矩形栅格和梅花形栅格的格式进行交替预测和更新；再以各个波段的方差作为融合的特征，进行特征级第二代小波加权融合，最后对图像进行第二代小波重构。

A novel multisensor images fusion algorithm is presented based on lifting quincunx wavelt. First, the lifting quincunx wavelet transform is used to perform a multiscale decomposition of each image. Then, the wavelet coefficients of fused image are constructed using multiple operators according to different fusion rules. Finally, the reconstructed image is obtained through the inverse transform.

提出了一种基於提升方案的五株形小波的多传感器图像融合方法，即在提升五株形小波多尺度分解的基础上，对每一幅图像进行多尺度分解，按照不同的融合规则和融合运算子去构造融合图像对应的各小波系数，再通过逆变换重构融合后的图像。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。