Opened 12 years ago
Last modified 12 years ago
#6231 new enhancement
Solving a system of equations ignores multiplicities
Reported by: | SimonKing | Owned by: | |
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Priority: | major | Milestone: | sage-wishlist |
Component: | symbolics | Keywords: | multiplicities system of equations |
Cc: | Merged in: | ||
Authors: | Reviewers: | ||
Report Upstream: | Work issues: | ||
Branch: | Commit: | ||
Dependencies: | Stopgaps: |
Description (last modified by )
A follow-up from http://groups.google.com/group/sage-support/browse_thread/thread/d8e22deb18d97253 but different from #6228:
sage: solve((x^2-1)^3==0, x, multiplicities=True) ([x == -1, x == 1], [3, 3]) sage: solve(((x^2-1)^3==0,(x^2-1)^3==0), x, multiplicities=True) [[x == 1], [x == -1]]
So, at least in this example, we get the correct multiplicities for a single equation, but we don't get any multiplicity when the same equation together with a copy of itself forms a system of equations.
Note that maxima
does not seem to help here:
sage: maxima.eval('solve([(x^2-1)^3,(x^2-1)^3],x)') '[[x=1],[x=-1]]' sage: maxima.get('multiplicities') '[]'
What format should the multiplicities be provided in?
- When one solves a single equation with a single variable, the solutions are given by a simple list. Accordingly, the multiplicities are given as a simple list.
- When a system of equations in a single variable is given, the solutions are given by a list of lists. So, should the multiplicities be given by a list of lists?
Change History (1)
comment:1 Changed 12 years ago by
- Description modified (diff)
- Milestone changed from sage-4.0.2 to sage-wishlist
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