Open Access
2014 Efficient Recursive Methods for Partial Fraction Expansion of General Rational Functions
Youneng Ma, Jinhua Yu, Yuanyuan Wang
J. Appl. Math. 2014: 1-18 (2014). DOI: 10.1155/2014/895036


Partial fraction expansion (pfe) is a classic technique used in many fields of pure or applied mathematics. The paper focuses on the pfe of general rational functions in both factorized and expanded form. Novel, simple, and recursive formulas for the computation of residues and residual polynomial coefficients are derived. The proposed pfe methods require only simple pure-algebraic operations in the whole computation process. They do not involve derivatives when tackling proper functions and require no polynomial division when dealing with improper functions. The methods are efficient and very easy to apply for both computer and manual calculation. Various numerical experiments confirm that the proposed methods can achieve quite desirable accuracy even for pfe of rational functions with multiple high-order poles or some tricky ill-conditioned poles.


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Youneng Ma. Jinhua Yu. Yuanyuan Wang. "Efficient Recursive Methods for Partial Fraction Expansion of General Rational Functions." J. Appl. Math. 2014 1 - 18, 2014.


Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131951
MathSciNet: MR3272249
Digital Object Identifier: 10.1155/2014/895036

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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