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Efficient way of computing matrix product AXA'?

I have two double precision matrices:

  • M, which has size l ⨯ m and no particular property;
  • S, which has size m ⨯ m and is symmetric.

I would like to compute:

R = M ⨯ S ⨯ t(M)

where t(M) is the transpose of M.

Looking at the list of (C) BLAS routines I didn't find anything that directly addresses this case. What is the most efficient combination of routines, then, that would allow me to compute R?

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