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Partial fraction evaluation by an escalation technique


Author: J. F. Mahoney
Journal: Math. Comp. 36 (1981), 241-246
MSC: Primary 65D15
DOI: https://doi.org/10.1090/S0025-5718-1981-0595056-6
MathSciNet review: 595056
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Abstract: An escalation method for performing partial fraction expansions is presented for the case that the complete list of zeros of the denominator of the proper rational function is known. Expressions for the number of divisions and multiplications required are developed. The new method requires fewer such arithmetic operations than do other known methods. A numerical example is provided.


References [Enhancements On Off] (What's this?)

  • [1] D. Hazony & J. Riley, "Evaluating residues and coefficients of high order poles," IRE Trans. Auto. Cont., AC-4, 1959.
  • [2] Peter Henrici, Applied and computational complex analysis, Wiley-Interscience [John Wiley & Sons], New York-London-Sydney, 1974. Volume 1: Power series—integration—conformal mapping—location of zeros; Pure and Applied Mathematics. MR 0372162

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1981-0595056-6
Article copyright: © Copyright 1981 American Mathematical Society