On Tue, Nov 18, 2008 at 8:00 AM, Marshall Hampton <[EMAIL PROTECTED]> wrote:
>
> Jason Grout has now fixed this, you can get the patch at
>
> http://trac.sagemath.org/sage_trac/ticket/4273
>
> It probably won't get into Sage until sage-3.2.1, which has a target
> release date of 11/22 but since 3.2 is turning into a pretty big
> release I think it will be more like the end of the month.

3.2 should be released in <= 2 days.

>
> Cheers,
> Marshall Hampton
>
> On Oct 13, 4:08 pm, Rob Beezer <[EMAIL PROTECTED]> wrote:
>> Thanks for the response and for submitting this as a bug.  I should
>> have thought to try a simpler test case.
>>
>> Rob
>>
>> On Oct 13, 4:58 am, Marshall Hampton <[EMAIL PROTECTED]> wrote:
>>
>> > This is now Ticket #4273 on trac (http://trac.sagemath.org/sage_trac/
>> > ticket/4273).
>>
>> > I will try to fix this if no one else does.  Many Sage developers are
>> > busy at Sage Days 10 in Nancy, France, so they might be a little more
>> > distracted than usual, but I think this is a major bug so it should
>> > get attention soon.
>>
>> > -M. Hampton
>>
>> > On Oct 12, 10:39 pm, Marshall Hampton <[EMAIL PROTECTED]> wrote:
>>
>> > > The transformation=True fails even for matrix(QQ,[[0,1,0],[0,0,0],
>> > > [0,0,0]]).  It looks like the algorithm to construct it is flawed, and
>> > > will not work if there are blocks with the same eigenvalue.  Anyone
>> > > want to re-write this?
>>
>> > > -M. Hampton
>>
>> > > On Oct 12, 9:34 pm, Rob Beezer <[EMAIL PROTECTED]> wrote:
>>
>> > > > I have a 6x6 matrix with integer entries, whose eigenvalues are also
>> > > > integers.  I wanted theJordancanonical form, and the associated
>> > > > matrix to make the similarity transformation.  TheJordanform comes
>> > > > out nicely, but I can't get the transformation matrix.  I've included
>> > > > the error output below - the error seems more severe without setting
>> > > > base_ring=QQ.  I've also include a legitimate transformation matrix I
>> > > > worked up by hand (with some help from SAGE!).
>>
>> > > > Is this expected behavior?  Any usage hints or workarounds?  Thanks.
>>
>> > > > Rob
>>
>> > > > m=matrix(QQ, [[2,0,1,1,0,0],[0,2,1,1,0,0],[2,0,1,0,0,1],[2,0,0,1,1,0],
>> > > > [0,2,1,0,0,1],[0,2,0,1,1,0]])
>> > > > m.jordan_form()
>>
>> > > > [4|0|0 0|0 0]
>> > > > [-+-+---+---]
>> > > > [0|2|0 0|0 0]
>> > > > [-+-+---+---]
>> > > > [0|0|0 1|0 0]
>> > > > [0|0|0 0|0 0]
>> > > > [-+-+---+---]
>> > > > [0|0|0 0|0 1]
>> > > > [0|0|0 0|0 0]
>>
>> > > > p=m.jordan_form(base_ring=QQ, transformation=True)
>>
>> > > > Traceback (click to the left for traceback)
>> > > > ...
>> > > > ValueError: cannot compute the basis of theJordanblock of size 2
>> > > > with
>> > > > eigenvalue 0
>>
>> > > > Traceback (most recent call last):
>> > > >   File "<stdin>", line 1, in <module>
>> > > >   File "/home/rob/.sage/sage_notebook/worksheets/admin/46/code/98.py",
>> > > > line 6, in <module>
>> > > >     p=m.jordan_form(base_ring=QQ, transformation=True)
>> > > >   File "/opt/sage-3.1.2/local/lib/python2.5/site-packages/
>> > > > SQLAlchemy-0.4.6-py2.5.egg/", line 1, in <module>
>> > > >   File "matrix2.pyx", line 4125, in
>> > > > sage.matrix.matrix2.Matrix.jordan_form (sage/matrix/matrix2.c:23429)
>> > > > ValueError: cannot compute the basis of theJordanblock of size 2
>> > > > with eigenvalue 0
>>
>> > > > p=matrix(QQ,[[1,1,0,1,3,1],[1,-1,0,1,3,1],[1,0,1,1,0,1],
>> > > > [1,0,-1,-3,-6,0],[1,-2,1,0,0,-8],[1,-2,-1,-2,-6,-3]])
>> > > > p.inverse()*m*p == m.jordan_form()
>>
>> > > > True
> >
>



-- 
William Stein
Associate Professor of Mathematics
University of Washington
http://wstein.org

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