Equivalent Conditions for Convergence of Splittings of Non-Hermitian Indefinite Matrices

We present some sufficient and necessary conditions for convergent splitting of a non-Hermitian indefinite matrix. Some sufficient conditions to determinate a matrix with a (strongly) dominant symmetric part for a class of boundary value problem are also obtained. These results are applicable to identify the convergence of iterative methods for solving large sparse systems of linear equations.     

Eigensolution of specially structured matrices with hyper‐symmetry

Recently, four canonical forms have been developed and applied to the dynamics and stability analysis of symmetric frames. In this paper, hyper‐symmetric matrices and specially structured matrices are defined and efficient methods are proposed for the eigensolution of such matrices. Applications are extended to hyper‐graphs and specially structured graphs. Simple methods are developed for calculating the eigenvalues of the Laplacian matrices of such graphs. The developments presented in this paper can also be considered as generalization of Form II and Form III symmetry, previously defined by the authors. Copyright © 2006 John Wiley & Sons, Ltd.     

交错群A_5的4度连通对称图的分类

一个图Г称为G-对称的(symmetric).如果其同构群Aut(r)的一个子群G在图r的有向孤集(set of ordered pairs of adjacent vertices)上的作用是传递的(transitive).本文主要结果是:设图Г是4度对称图.全自同构群Aut(r)=A_5,则图r是且仅是如下图之一:(1)Г是15个点的完全图K_5的三维覆盖(3-fold cover)图.(2)Г是完全图K_5.     

SYMMETRIC STABLE SEQUENCES WITH MISSING OBSERVATIONS

Abstract. A procedure for evaluating optimal linear estimates of missing values in the minimum dispersion sense is proposed for stationary symmetric stable processes. Analytical expressions for the estimates are obtained for the autoregressive moving-average process and it is shown that the finite variance setting results are special cases. Cases of one and more than one missing value are considered.     

Spectral approximations of the Stokes problem by divergence-free functions

The method of Moser, Moin, and Leonard (1983) for the approximation of the three-dimensional Navier-Stokes equations using divergence-free subspaces is revisited and analyzed. It is shown that the computed velocity field converges to the physical one with spectral accuracy. Moreover, a method for recovering the pressure field is proposed. This method is stable and provides a pressure that converges to the physical one with spectral accuracy.     

多频电磁波测井数据的反演成像技术及应用

针对测井数据反演成像问题的不适应定性，采用了带不等式约束的正则化最小二乘迭代反演，模型响应的正演计算用有限元方法实现，模型响应对电阻率及介电常数的偏导数用格林函数和互换原理计算，对高低频电磁波测井数据的反演分两步进行，首先用低频数据得到电阻率的大致分布，再以此为初值，用高频电磁波数据同时反演电阻率和介电常数，通过对模型的数值模拟和某地热田1口井的实际资料的应用表明，电磁波测井数据的反演厉像能给出井周近旁介质的电性参数分布，而在离井较远的区域不能得到稳定可靠的解释结果，无论高频还是低频测井数据，要得到高质量的成像结果，工作频率的适当选择及接收器灵敏度的提高是至关重要的。     

Beller-Yacobi协议的研究与模拟实现

本文着重分析了Beller-Yacobi协议及以其中用到的RSA加解密及签名算法,并以RSA加解密算法为例在.NET环境下使用C#语言模拟实现了其详细过程,最终实现了整个Beller-Yacobi密钥传输协议的过程。     

Robust pose invariant face recognition using coupled latent space discriminant analysis

We propose a novel pose-invariant face recognition approach which we call Discriminant Multiple Coupled Latent Subspace framework. It finds the sets of projection directions for different poses such that the projected images of the same subject in different poses are maximally correlated in the latent space. Discriminant analysis with artificially simulated pose errors in the latent space makes it robust to small pose errors caused due to a subject’s incorrect pose estimation. We do a comparative analysis of three popular latent space learning approaches: Partial Least Squares (PLSs), Bilinear Model (BLM) and Canonical Correlational Analysis (CCA) in the proposed coupled latent subspace framework. We experimentally demonstrate that using more than two poses simultaneously with CCA results in better performance. We report state-of-the-art results for pose-invariant face recognition on CMU PIE and FERET and comparable results on MultiPIE when using only four fiducial points for alignment and intensity features.     

极C-invex条件下多目标非线性规划问题的对称对偶性

提出了一个多目标非线性规划的对称对偶性问题,并利用弱有效性和真有效性的概念,证明了在极C-invex条件下与规划问题相关的弱对偶定理、强对偶定理、逆对偶定理和自对偶定理.     

实行(列)对称矩阵的QR分解

提出了行(列)倒置矩阵与行(列)对称矩阵的概念,研究了它们的性质,获得了一些新的结果,给出了实行(列)对称矩阵的QR分解的公式,它们可极大地减少行(列)对称矩阵的QR分解的计算量与存储量,而且不会降低数值精度.