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[Lapack] Matrix inversion in Lapack - which algorithm used?

Dear Xavier,

See the LAPACK User's Guide, particularly the section 'Linear Equations' 
under 'Computational Routines'.  The relevant section online is at:

http://www.netlib.org/lapack/lug/node38.html

For general matrices you will see that matrix inversion is based on the 
LU factorization with partial pivoting.

Best wishes,

Sven Hammarling.

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