| A Pfaffian Formula of the Generalized Inverse Function-Valued Pade Approximant Used in Solving Integral Equations |
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| 作者姓名： | 李春景 顾传青 |
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| 作者单位： | DepartmentofMathematics,CollegeofSciences,ShanghaiUniversity,Shanghai200436,China |
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| 摘 要： | The generalized inverse function-valued Pade 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 Pade 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 Pade approximant was established.
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| 关 键 词： | Pfaffian公式 Pade近似法 积分方程 共轭函数 |
| 收稿时间： | 17 December 2002 |
A pfaffian formula of the generalized inverse function-valued fade approximant used in solving integral equations |
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| Li?Chun-Jing,Gu?Chuan-Qing.A Pfaffian Formula of the Generalized Inverse Function-Valued Pade Approximant Used in Solving Integral Equations[J].Journal of Shanghai University(English Edition),2003,7(4):318-321. |
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| Authors: | Li Chun-Jing Gu Chuan-Qing |
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| Institution: | (1) Department of Mathematics, College of Sciences, Shanghai University, 200436 Shanghai, China;(2) Department of Mathematics, College of Sciences, Tongji University, 200331 Shanghai, China |
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| Abstract: | 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.
Project supported by the National Natural Science Foundation of China (Grant No. 10271074) |
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| Keywords: | Padé approximant determinant Pfaffian formula integral equation |
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