Here's the gist: https://gist.github.com/jcrist/ad663d6bdc4d82896176

I tried to simplify everything down to just the bare essentials, but there 
may be something I missed. Gives the same error as it did in the full
code though, so I think I got it all.

I'm running version 0.2.0.

Thanks,

-Jim

On Tuesday, March 25, 2014 10:21:10 AM UTC-5, Andreas Noack Jensen wrote:
>
> A gist would be helpful. By the way, which version of Julia are you 
> running?
>
>
> 2014-03-25 16:19 GMT+01:00 James Crist <[email protected] <javascript:>>:
>
>> I'm probably not. New to this language, still figuring things out. The 
>> matrix type seems to be inferred correctly though. I'll put a gist up in a 
>> bit to try and get some more relevant feedback.
>>
>>
>> On Tuesday, March 25, 2014 9:54:53 AM UTC-5, Andreas Noack Jensen wrote:
>>
>>> I don't think you are right about LAPACK. The code tries to promote to a 
>>> type which is stable under lu factorizing which is the intermediate step in 
>>> the calculation. The problem could be that your matrix type is not inferred 
>>> correctly. Please try to let your type by subtype of Number and then define 
>>> your matrix by
>>>
>>> a = Mytype[mytype(1) mytype(2); mytype(3) mytype(4)]
>>>
>>> and see if it works.
>>>
>>>
>>> 2014-03-25 15:29 GMT+01:00 James Crist <[email protected]>:
>>>
>>> Yeah, I get a "ERROR: no method Triangular{..." error, because my type 
>>>> doesn't subtype Number. If I do subtype number, then it wants a conversion 
>>>> function to convert it to a float, so it can use the LAPACK routines.
>>>>
>>>> -Jim
>>>>
>>>>
>>>> On Tuesday, March 25, 2014 9:22:29 AM UTC-5, Andreas Noack Jensen wrote:
>>>>
>>>>> Have you tried to invert it? Maybe it works already. There is a 
>>>>> generic inv in base/linalg/generic.jl. You'll have to define a one method 
>>>>> for you type and maybe also a zero method.
>>>>>
>>>>>
>>>>> 2014-03-25 15:14 GMT+01:00 James Crist <[email protected]>:
>>>>>
>>>>> I have a type I've defined. It's not a number, but it has all 
>>>>>> arithmetic operations defined for it. Is there a way to calculate the 
>>>>>> inverse of a matrix of a user defined type? For example, if I was to 
>>>>>> define:
>>>>>>
>>>>>> a = [mytype(1) mytype(2); mytype(3) mytype(4)]
>>>>>> b = inv(a)
>>>>>>
>>>>>> Looking through base, there doesn't seem to be a way to find inverses 
>>>>>> of non-numeric matrices (although I may be missing it). For my case, 
>>>>>> even a 
>>>>>> simple algorithm that only works well for small matrices (<10x10) would 
>>>>>> be 
>>>>>> more than sufficient. If a way for doing this doesn't currently exist, 
>>>>>> I'll 
>>>>>> probably try to roll my own.
>>>>>>
>>>>>
>>>>>
>>>>>
>>>>> -- 
>>>>> Med venlig hilsen
>>>>>
>>>>> Andreas Noack Jensen
>>>>>  
>>>>
>>>
>>>
>>> -- 
>>> Med venlig hilsen
>>>
>>> Andreas Noack Jensen
>>>  
>>
>
>
> -- 
> Med venlig hilsen
>
> Andreas Noack Jensen
>  

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