基于Sylvester算法的函数值Pad型逼近及其在解积分方程中的应用  

FUNCTION-VALUED PADE-TYPE APPROXIMANT VIA SYLVESTER ALGORITHM AND ITS APPLICATIONS IN SOLVING INTEGRAL EQUATIONS

作　　者：陶有田[1,2] 王冬银[1] 

机构地区：[1]巢湖学院数学系,巢湖238000 [2]上海大学数学系,上海200444

出　　处：《高等学校计算数学学报》2012年第2期126-134,共9页Numerical Mathematics A Journal of Chinese Universities

基　　金：安徽高等学校省级自然科学研究项目(No.KJ2008B246);安徽省高校青年资助计划项目(No.2008jq1110)

摘　　要：1引言 第二类Fredholm积分方程为The function-valued Pade-type approximant（FPTA） was defined in the inner product space. In this work, we choose coefficients in the Neumann power series to make the inner product with both sides of a function-valued system of equations to yield a scalar system. Then we express an FPTA in the determinant form. To avoid the direct computation of the determinants, we expand the Sylvester theorem to the function-valued case called the Sylvester-type algorithm （FPTAVSA）. The numerical experimentation for a typical integral equation illustrates that the method of FPTAVSA is simpler and more effective for obtaining the characteristic values and the characteristic function than all previous methods.

关 键 词：第二类FREDHOLM积分方程 PAD 函数值 应用 逼近 E型 算法 

分 类 号：O241.83[理学—计算数学]