#16240: plain wrong results from partial_fraction_decomposition()
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Reporter: rws | Owner:
Type: defect | Status: new
Priority: critical | Milestone: sage-6.3
Component: | Keywords: partial fractions,
commutative algebra | polynomials
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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Note the sign of the denominator:
{{{
sage: R.<x> = ZZ['x']
sage: p=(6*x^2 - 9*x + 5)/(-x^3 + 3*x^2 - 3*x + 1)
sage: p.partial_fraction_decomposition()
(0, [6/(x - 1), 3/(x^2 - 2*x + 1), 2/(x^3 - 3*x^2 + 3*x - 1)])
sage: 6/(x - 1) + 3/(x^2 - 2*x + 1) + 2/(x^3 - 3*x^2 + 3*x - 1)
(6*x^2 - 9*x + 5)/(x^3 - 3*x^2 + 3*x - 1)
}}}
while in SR:
{{{
sage: var('x')
x
sage: p=(6*x^2 - 9*x + 5)/(-x^3 + 3*x^2 - 3*x + 1)
sage: p.partial_fraction()
-6/(x - 1) - 3/(x - 1)^2 - 2/(x - 1)^3
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/16240>
Sage <http://www.sagemath.org>
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