#8862: solve misses some solutions in a certain nonlinear system
-------------------------+--------------------------------------------------
Reporter: casamayou | Owner: burcin
Type: defect | Status: new
Priority: major | Milestone: sage-4.7
Component: calculus | Keywords: solve
Author: | Upstream: Reported upstream. Little or no
feedback.
Reviewer: | Merged:
Work_issues: |
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Changes (by kcrisman):
* upstream: N/A => Reported upstream. Little or no feedback.
Comment:
{{{
Maxima 5.23.2 http://maxima.sourceforge.net
using Lisp ECL 11.1.1
Distributed under the GNU Public License. See the file COPYING.
Dedicated to the memory of William Schelter.
The function bug_report() provides bug reporting information.
(%i1) solve([(2*x^2/(x^2 + y^2) + log(x^2 + y^2))*(x^2 + y^2)^x,2*x*y*(x^2
+ y^2)^(x - 1)],[x,y]);
(%o1) [[x = 0, y = 0]]
}}}
So still present in 4.7.alpha1.
This is a pretty straightforward Maxima bug/enhancement need.
The issue about it not being a critical point is irrelevant, since this is
exactly equivalent to the uninterpreted
{{{
solve([(2*x^2/(x^2 + y^2) + log(x^2 + y^2))*(x^2 + y^2)^x,2*x*y*(x^2 +
y^2)^(x - 1)],[x,y])
}}}
So the relevant problem is that it's returning something not in the domain
of the functions in question, which is indeed a problem. In addition to
not finding other solutions.
This is now Maxima bug
[https://sourceforge.net/tracker/?func=detail&aid=3216684&group_id=4933&atid=104933
3216684].
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8862#comment:5>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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