William Stein wrote:
> On Thu, Dec 4, 2008 at 10:51 PM, Jan Groenewald <[EMAIL PROTECTED]> wrote:
>> Hi,
>>
>> On Thu, Dec 04, 2008 at 02:47:22AM -0800, Mike Hansen wrote:
>>> I don't have a whole lot of time, but I put some improvements up at
>>> http://sagenb.org:8000/home/pub/94/ and included some timings there.
>>> h6.eigenvalues() took 0.11 seconds to run on my machine.  It looks
>>> like everything you're doing can be done with exact arithmetic so that
>>> you don't have to use CDF.  Most of the matrices are over QQ, and the
>>> ones that are complex are over QQ[sqrt(-1)].
>> Thanks, this is great. This way the h6.eigenvalues took less than 1 second,
>> and h6.eigenvectors_right took 18 seconds.
>>
>> I don't understand why complex floats are so much slower than rationals:
>> 18 seconds versus 4+ hours (unfinished)! In the end the eigenvalues are
>> real (floats).
> 
> A lot of Sage developers (like me) care about trying to make Sage the
> fastest program in the world for lots linear algebra over QQ, since it
> is very important to our research.  The same isn't try for arbitrary
> precision floating point complex numbers, at present.


This will be fixed soon, hopefully before the start of next semester. 
We just need to wrap the scipy function properly.

Jason


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