Computation Formulas of Generalised Inverse Padé Approximant Using for Solution of Integral Equations

GU Chuan-qing; LI Chun-jing

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Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(9): 952-958

GU Chuan-qing, LI Chun-jing. Computation Formulas of Generalised Inverse Padé Approximant Using for Solution of Integral Equations[J]. Applied Mathematics and Mechanics, 2001, 22(9): 952-958.

Citation:

GU Chuan-qing, LI Chun-jing. Computation Formulas of Generalised Inverse Padé Approximant Using for Solution of Integral Equations[J]. Applied Mathematics and Mechanics, 2001, 22(9): 952-958.

Citation:

GU Chuan-qing, LI Chun-jing. Computation Formulas of Generalised Inverse Padé Approximant Using for Solution of Integral Equations[J]. Applied Mathematics and Mechanics, 2001, 22(9): 952-958.

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Computation Formulas of Generalised Inverse Padé Approximant Using for Solution of Integral Equations

GU Chuan-qing¹,
LI Chun-jing²

1.
Department of Mathematics, Shanghai University, Shanghai 200436, P R China;
2.
Department of Mathimatics, Tongji University, Schanghai 200331, P R China

Received Date: 2000-08-30
Rev Recd Date: 2001-04-08
Publish Date: 2001-09-15

Abstract

Abstract

For the generalizedinverse function-valued Pad approximants, its intact computation formulas are given, The explicit determinantal formulas for the denominator scalar polynomials and the numrator function-valued polynomials are first established. A useful existence condition is given by means of determinant form.
- Pad approximant,
- determinantal formula,
- existence,
- integral equation

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References(7)

References

[1]	Graves-Morris P R. Solution of integral equations using generalised inverse, function-valued Padé approximants[J]. J Comput Appl Math,1990,32(1):117-124.
[2]	Chisholm J S R. Solution of integral equations using Padé approximants[J]. J Math Phys,1963,4(12):1506-1510.
[3]	Graves-Morris P R, Jenkins C D. Vector valued rational interpolants Ⅲ[J]. Constr Approx,1986,2(2):263-289.
[4]	顾传青. 基于广义逆的矩阵值Padé逼近[J]. 计算数学,1997,19(1):19-28.
[5]	GU Chuan-qing. Thiele-type and Largrange-type generalized inverse rational interpolation for rectangular complex matrices[J]. Linear Algebra Appl,1999,295(1):7-30.
[6]	Baker G A. The Numerical Treatment of Integral Equations[M]. Oxford: Oxford Univ, Press,1978.
[7]	Sloan I H. Improvement by iteration for compact operator equations[J]. Math Comp,1976,30(4):758-764.