How can I get good matrix approximations using a sparse matrix?

2013 11 4
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更新时间：2013 11 5
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I have a matrix A (dimension 4000000 x 5) and a sparse matrix B (dimension 4000000 x 2000000). Now I am searching for an approximation of X: A * X = B
Also I need an approximation for Y: A * Y * A' = C (C is a sparse 4000000 x 4000000 matrix)

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Matt J
Matt J 2013-11-4
编辑：Matt J 2013-11-4

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X=A\B;
Y=A\C/A';

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Steffen
Steffen 2013-11-4
Error using \
Out of memory. Type HELP MEMORY for your options.
Matt J
Matt J 2013-11-5
Ah well. Then alternatively
Ap=pinv(A);
X=Ap*B;
Y=Ap*C*Ap';
Steffen
Steffen 2013-11-5
This works but I can't calculate
A * X
afterwards without getting the memory error.

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