Title :
The computation of the Kth derivative of polynomials and rational functions in factored form and related matters
Author :
Linnér, L. J Peter
fDate :
3/1/1974 12:00:00 AM
Abstract :
Brugia´s work on the noniterative computation of high order derivatives of rational functions with application to multiple-pole fraction expansion is simplified by the use of operators. The formulas for the derivatives are given in a recursive scheme and finally the Laurent expansion is developed and applied to the partial fraction expansion of improper rational functions.
Keywords :
Computation and optimization algorithms; Numerical methods; Polynomials; Rational functions; Circuits; Computational efficiency; Computer networks; Equations; Filters; Performance analysis; Poles and zeros; Polynomials; Roundoff errors; Transfer functions;
Journal_Title :
Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCS.1974.1083830
