Partial fraction expansion
Finds the residues, poles, and direct term of a Partial Fraction Expansion of the ratio of two polynomials.
residue(b, a, tol = 0.001) rresidue(r, p, k, tol = 0.001)
b |
coefficients of numerator polynomial |
a |
coefficients of denominator polynomial |
tol |
tolerance. Default: 0.001 |
r |
residues of partial fraction expansion |
p |
poles of partial fraction expansion |
k |
direct term |
The call res <- residue(b, a) computes the partial fraction expansion
for the quotient of the polynomials, b and a.
The call res <- rresidue(r, p, k) performs the inverse operation and
computes the reconstituted quotient of polynomials, b(s) / a(s), from the
partial fraction expansion; represented by the residues, poles, and a direct
polynomial specified by r, p and k, and the pole
multiplicity e.
For residue, a list containing r, p and
k. For rresidue, a list containing b and a.
Tony Richardson, arichard@stark.cc.oh.us,
Ben Abbott, bpabbott@mac.com,
adapted by John W. Eaton.
Conversion to R by Geert van Boxtel, G.J.M.vanBoxtel@gmail.com
b <- c(-4, 8) a <- c(1, 6, 8) rpk <- residue(b, a) ba <- rresidue(rpk$r, rpk$p, rpk$k)
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