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In this paper, we present straight forward techniques for a highly efficient, scalable implementation of common matrix-matrix operations generally known as the Level S Basic Linear Algebra Subprograms (BLAS). This work builds on our recent discovery of a parallel matrix-matrix multiplication implementation, which has yielded superior performance, and requires little work space. We show that the techniques used for the matrix-matrix multiplication naturally extend to all important level 3 BLAS and thus this approach becomes an enabling technology for efficient parallel implementation of these routines and libraries that use BLAS. Representative performance results on the Intel Paragon system, are given.

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