1965•SIAM ReviewRequires access

A Noniterative Method for the Partial Fraction Expansion of a Rational Function with High Order Poles

O. Brugia

Abstract

The paper describes a method for obtaining the derivative of a certain desired order of a proper or improper rational function without working out any of its lower order derivatives. This method is then applied to compute the partial fraction expansion coefficients of a rational function with high order poles. The outlined procedure is suitable both for hand and computer calculation.

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Available abstract

Key concepts: Partial fraction decomposition, Rational function, Order (exchange), Function (biology), Partial derivative, Applied mathematics, Fraction (chemistry), Derivative (finance)