A pfaffian formula of the generalized inverse function-valued fade approximant used in solving integral equations

Journal of Shanghai University (English Edition) - Tập 7 - Trang 318-321 - 2003
Chun-Jing Li1,2, Chuan-Qing Gu1
1Department of Mathematics, College of Sciences, Shanghai University, Shanghai, China
2Department of Mathematics, College of Sciences, Tongji University, Shanghai, China

Tóm tắt

The generalized inverse function-valued Padé approximant was defined to solve the integral equations. However, it is difficult to compute the approximants by some high-order determinant formulas. In this paper, to simplify computation of the function-valued Padé approximants, an efficient Pfaffian formula for the determinants was extended from the matrix form to the function-valued form. As an important application, a Pfaffian formula of [4/4] type Padé approximant was established.

Tài liệu tham khảo

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