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BLAS & LAPACK
BLAS and LAPACK
BLAS stands for Basic Linear Algebra Subprograms and is a set of routines developed in Fortran, in the 1970s, for the efficient computation of basic linear algebra operations on data, like multiplications and additions of vectors and matrices. More complex operations like eigenvalues computation or solving equations are collected in another set of routines built on top of BLAS, called LAPACK (Linear Algebra Package).
High level libraries like Numpy use these routines on the back.