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Large SparseArray in Mathematica 9 and the predictive interface

  • To: mathgroup at smc.vnet.net
  • Subject: [mg129304] Large SparseArray in Mathematica 9 and the predictive interface
  • From: jmmv73 at gmail.com
  • Date: Sun, 30 Dec 2012 20:50:09 -0500 (EST)
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Hi there,

I was generating a banded sparse array with the following code
in the new Mathematica 9.0:

gmat[K_, l_, m_] :=
  Module[{bandU, bandL, bandD, res},
   
   bandU = Table[l, {K - 1}];
   bandL = Table[m, {K - 1}];
   bandD = Table[-l - m, {K}];
   bandD[[1]] = -l;
   bandD[[K]] = -m;
   
   res = DiagonalMatrix[SparseArray[bandU], 1]
     + DiagonalMatrix[SparseArray[bandD]]
     + DiagonalMatrix[SparseArray[bandL], -1];
   
   Return[res];
   ];


then I used the function with the following parameters (without semicolon):


gmat[100, 0.8, 1]


...and everything was ok! a 100x100 sparse matrix was created and the
"predictive interface bar" appeared.

Nevertheless, when I typed (without semicolon): 


gmat[10000, 0.8, 1]


...everything went not so good, a 10000x10000 sparse matrix was created 
(what was ok), but the kernel went nuts with the memory use, some gigabytes 
for a small sparsearray (You can try with greater parameters, but starting
with K=5000 things go weird)

I think the problem has to do with the "predictive interface" that tries to
generate the normal form of the matrix, so it uses a lot of memory (and even
produces a kernel crash).

Has anyone had the same problem with SparseArray? or have any
explanation to what actually happens? or it is just me?

Many thanks in advance for any help or advice with this issue.

Regards,

 Jose M. Martinez
 Ph.D. Student
 Department of Electronic Engineering
 Universidad Tecnica Federico Santa Maria
 Valparaiso, Chile



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