Least-squares function-valued Padé-type approximation and its application in solving integral equations  

作　　者：潘宝珍 刘利九 

机构地区：[1]College of Sciences,Shanghai University

出　　处：《Journal of Shanghai University(English Edition)》2010年第1期66-70,共5页上海大学学报（英文版）

基　　金：supported by the Shanghai Leading Academic Discipline Project (Grant No.J50101)

摘　　要：To solve the Fredholm integral equations of the second kind, a new notion of the least-squares orthogonal polyno- mials of function-valued Pade-type approximation is introduced. On the basis of the error formula, the least-squares function： valued Pad＆type approximation is constructed. Their existence and uniqueness are studied. A recursive computation formula of the least-squares function-valued Padetype approximation is given. In the end, an example is given to show that the method is effective and stable.To solve the Fredholm integral equations of the second kind, a new notion of the least-squares orthogonal polyno- mials of function-valued Pade-type approximation is introduced. On the basis of the error formula, the least-squares function： valued Pad＆type approximation is constructed. Their existence and uniqueness are studied. A recursive computation formula of the least-squares function-valued Padetype approximation is given. In the end, an example is given to show that the method is effective and stable.

关 键 词：least-squaxes orthogonal polynomial function-valued Pade-type approximation Fredholm integral equation 

分 类 号：O241.5[理学—计算数学]