Re: [boost] different matrix library?

Subject: Re: [boost] different matrix library?
From: Edward Grace (ej.grace_at_[hidden])
Date: 2009-08-14 18:16:21

> and outer product
>
>     vector*transpose(vector)    //vector*covector
>
> since a vector is actually a matrix we can transpose it

Well, semantics I know but they are all tensors.  A

  scalar -> tensor of order 0,
  vector -> a tensor of order 1,
  matrix -> a tensor of order 2. ;-)

>>    w = wedge(u,v); // Wedge product, function form
>>    w = u ^ v;      // Wedge product operator form.
>> Though I'm not sure it has the right precedence properties...
>> would be pretty neat.
>> I'll go away and hide now....
> unfortunately i think in linalg domain (you think in tensor domain i
> guess) so we may misanderstand each other
> in the end i think it's possible to attach a mechanism to support
> tensor style operations
> by the way

The more I think about it the less inclined I am towards 'tensors are  
the one true way'.  Since we can ultimately represent everything  
(conceptually) as matrices it may (perversely) make some sense to  
treat tensors as a special type of matrix, embuing them with certain  
properties.

This way it keeps the development reasonably sane, works for most of  
the people all the time and could be extended later.

I will ponder that....

-ed