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A fast matrix multiplication routine is an essential component of any high performance algebra system. The planned algorithm might follow the approach described in http://www.cs.utexas.edu/users/pingali/CS378/2008sp/papers/gotoPaper.pdf .
The implementation may employ openMP for parallelization and auto-vectorization friendly core routines.
https://github.com/uBLAS/ublas/tree/ublas_feature0004_fast_matrix_multiplication