Wavelet Numerical Solutions for Weakly Singular Fredholm Integral Equations of the Second Kind

Daubechies interval wavelet is used to solve numerically weakly singular Fredholm integral equations of the second kind. Utilizing the orthogonality of the wavelet basis,the integral equation is reduced into a linear system of equations. The vanishing moments of the wavelet make the wavelet coefficient matrices sparse,while the continuity of the derivative functions of basis overcomes naturally the singular problem of the integral solution. The uniform convergence of the approximate solution by the wavelet method is proved and the error bound is given. Finally,numerical example is presented to show the application of the wavelet method.     

分块矩阵广义逆的几种表达式

受分块矩阵的逆矩阵形式的启发，给出了分块矩阵A=（A11 A12 A21 A22）的广义逆A^（1，3），A^（2），A^＋，Ad和Ag可以表示为X=（S1^α-A11^αA12S2^α -A11^αA21S1^α S2^α）的条件；然后运用这些结果，得到分块矩阵A的M—P逆的几个表达式；最后给出一个求分块矩阵M—P逆的例子．     

一种实对称矩阵特征值的求法

运用正交相似变换将实对称矩阵约化为不可约对称三对角矩阵,依不可约对称三对角矩阵特征值的隔离性质,构造出具有分段严格单调性的等价模型,证明在每一单调区间内有且仅有一个根,并采用具有二次收敛的Newton迭代法求解.最后,给出了算法及算例.     

可逆坡矩阵与坡矩阵的秩

坡是两个元素的乘积小于等于每个因子的加法幂等半环. 讨论了可逆坡矩阵的若干性质, 证明了可逆坡矩阵必是满秩的. 讨论了坡矩阵的行秩、列秩与Schein秩. 给出了坡矩阵的Schein秩的一个重要性质.     

2*2上三角算子矩阵的谱的填洞问题

设Mc=(A C 0 B)∈B(X( )Y)为定义在Banach空间X( )Y上的上三角算子矩阵.讨论了Mc的左(右)谱σl(σr),左(右)本性谱σle(σre)和本性谱σe的填洞问题.     

微型点阵打印机曲线绘制程序设计

着重分析了微型点阵打印机点阵图样打印输出功能，详细介绍了为其扩展二维曲线绘制功能的软件程序设计方法，为今后更好地应用该型号打印机奠定了基础。     

Coordination Model Research Based on Command Decision Joint Intension

Command Decision Simulation （CDS） is not only an important and difficult issue in the field of simulation, but also a technique issue to be tackled in the course of collective Modeling and Simulation in Joint Operations Experiment Center. CDS can give support to all kinds of simulation. Using computer to realize the Blue side＇s command deci- sion automatic execution in the operation training simulation system can improve training effect. Using computer to realize the lower level command unit＇s automatic command deci- sion can help to reduce the number of controllers and release them from heavy work. It can also enlarge simulation scale and increase the freedom of the simulation entity especially the command entity, thus enhance the authenticity and credibility of the simulation. Ac- cording to the command decision structure and the Joint Intention Theory, the thesis puts forward the method of making use of Coordination Matrix （CM） to realizing cooperation among the entities in CDS and constructs the calculation sketch of Task Execution, Task Monitoring and Task Replanning. At the same time, the thesis brings forward the CDS structure vision based on Partial Global Planning（PGP）. As CM is an indispensable part of combat simulation, the theory and the method of CDS will become an important part for the theory of Combat Simulation.     

CONSTRUCTING R-MATRICES AND SOLUTIONS OF THE YANG-BAXTER EQUATION BY COMPUTER ALGEBRA(Ⅰ)

给出用计算机代数系统Ｍａｔｈｅｍａｔｉｃａ建立约束系统的Ｒ矩阵的统一方法，并将其用于ＣＢ族和ＴＧ族的Ｒ矩阵     

一族解非线性方程组的Broyden—ABS算法

提出了一族Broyden-ABS型算法，它的Jocobian矩阵是由一系列Boroyden的行递推所形成。它是把Broyden算法和ABS投影算法结合在一起，避免了在算法中求Jacobian矩阵F’（x）。同时避免了在算法中求差商带来的不稳定性。（见[5],[6]）。第二部分在标准假定下证明了所提出的算法具有超线性收敛。第三部分讨论了参数zj^(k),wj^(k)的选择。该算法具有很高的实用性。     

ON THE CONSTRUCTION OF ALGEBRAIC-GEOMETRIC CODES

1,Illtroduction'SincetheearlypapersbyG0ppa[1-31,algebralc-ge0metriccodeshavebeeninthespotlight0fcodingthe0reticresearchf0rab0uttwodecades.NumerousexcitingresultshavebeenachievedusingGoppa'sconstructi0noflinearcodesfromalgebralccurvesoverfinitefields,bothbyalgebraicge0metorsandcodingtheorists.Becauseofthedifficultyofthesubject,severalexplanatorypaPersandtextbookshaveappeared,seeforinstance[4-8].Inthispaperwepresentaquitedtherentpointofviewconcerningalgebraic-geometriccodes.Itiswellknownthataq…