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Least-squares function-valued Padé-type approximation and its application in solving integral equations
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To solve the Fredholm integral equations of the second kind, a new notion of the least-squares orthogonal polyno-mials of function-valued Padé-type approximation is introduced. On the basis of the error formula, the least-squares function-valued Padé-type approximation is constructed. Their existence and uniqueness are studied. A recursive computation formula of the least-squares function-valued Padé-type approximation is given. In the end, an example is given to show that the method is effective and stable.
least-squaresorthogonal polynomialfunction-valued Padé-type approximationFredholm integral equation
PAN Bao-zhen、LIU Li-jiu
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College of Sciences,Shanghai University,Shanghai 200444,P.R.China
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