On Thursday, March 5, 2015 at 4:58:10 PM UTC-5, Sheehan Olver wrote:
>
>
> Hmm, maybe I’m posing the wrong problem then…  I wanted a fast way to 
> calculate the null space of a sparse matrix, where the basis spanning the 
> null space is also sparse.  And the dimension of the vector space is in the 
> millions.
>

 In that case, why not use:

     min ||Lx||_1 subject to ||x||_1= 1  (or ||x||_\infty = 1)?

That can be transformed into an LP.   (As I understand it, the only reason 
for your norm constraint on x is to prevent the trivial x=0 solution, but 
won't any norm work for that?)

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