Partial fraction evaluation by an escalation technique
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- by J. F. Mahoney PDF
- Math. Comp. 36 (1981), 241-246 Request permission
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
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D. Hazony & J. Riley, "Evaluating residues and coefficients of high order poles," IRE Trans. Auto. Cont., AC-4, 1959.
- Peter Henrici, Applied and computational complex analysis, Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York-London-Sydney, 1974. Volume 1: Power series—integration—conformal mapping—location of zeros. MR 0372162
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Math. Comp. 36 (1981), 241-246
- MSC: Primary 65D15
- DOI: https://doi.org/10.1090/S0025-5718-1981-0595056-6
- MathSciNet review: 595056