On Thu, Jan 26, 2012 at 10:13 AM, Robert Bradshaw
<rober...@math.washington.edu> wrote:
> To get a quick sense of what people think about this, I've decided to
> rephrase this as a survey.  To be clear, though this coincides with
> Matlab syntax, the intent is not to try to make Sage a Matlab clone,
> rather it is to add a missing feature to Sage.
>
> Should [a, b; c, d] be a valid syntax for matrix construction in Sage?
>

[X ] Yes, I love this syntax! It would be make life better for me and
my students.

> [ ] I wouldn't oppose, but may require some convincing.
> [ ] No, that's a horrible idea.
>
> Why?
>
>
> Should the default basering be more linear-algebra friendly? E.g. R ->
> Frac(R), RR -> RDF.
>
> [ ] Yes, that would take away a lot of pain/be what I'd have to
> specify manually anyway.
> [ ] Could be handy, but the drawbacks are significant.

[X] No, matrices over QQ are for sissies, real mathematicians work
over ZZ unless otherwise specified.

I'm more for *consistency* between the matrix command the matrix
notation and for fixing any issues with matrices over ZZ that make
them "bad".

 -- William

>
> Why?
>
>
>
> On Thu, Jan 26, 2012 at 6:12 AM, Jason Grout
> <jason-s...@creativetrax.com> wrote:
>> On 1/26/12 7:54 AM, Marco Streng wrote:
>>>
>>> 2012/1/26 Jason Grout<jason-s...@creativetrax.com>:
>>>>
>>>> That's part of the problem pointed out in an earlier message---our RR
>>>> matrices really are pretty bad for numerical things, but RDF matrices are
>>>> the way to go (the RDF matrices use standard numerical algorithms for the
>>>> most part, whereas RR matrices use naive algorithms that can be really
>>>> bad
>>>> and slow).  This should be fixed, but for right now, RR matrices don't
>>>> seem
>>>> to be all that useful compared to RDF matrices.
>>>
>>>
>>> Is RDF always better than 53-bit RR in this way? If so, perhaps
>>> "RealNumber" or the preparser could be changed to use RDF if the
>>> precision is sufficiently small. Most users typing 12.345 will want
>>> the fastest implementation and not something generic.
>>
>>
>> No, this is a linear algebra problem, not a general problem in Sage. Usually
>> RR is better mathematically than RDF.
>>
>> Thanks,
>>
>> Jason
>>
>>
>>
>>
>> --
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>
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-- 
William Stein
Professor of Mathematics
University of Washington
http://wstein.org

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