GEMM
The GEMM-Based Level 3 BLAS concept utilizes the fact that it is possible to formulate the Level 3 BLAS operations in terms of the Level 3 operation for general matrix multiply and add, SGEMM, and some Level 1 and Level 2 BLAS operations. The level 3 Basic Linear Algebra Subprograms (BLAS) are designed to perform various matrix multiply and triangular system solving computations. Due to the complex hardware organization of advanced computer architecturs the development of optimal level 3 BLAS code is costly and time consuming. However, it is possible to develop a portable and high-performance level 3 BLAS library mainly relying on a highly optimized GEMM, the routine for the general matrix multiply and add operation. With suitable partitioning, all the other level 3 BLAS can be defined in terms of GEMM and a small amount of level 1 and level 2 computations. Our contribution is twofold. First, the model implementations in Fortran 77 of the GEMM-based level 3 BLAS are structured to reduce effectively data traffic in a memory hierarchy. Second, the GEMM-based level 3 BLAS performance evaluation benchmark is a tool for evaluating and comparing different implementations of the level 3 BLAS with the GEMM-based model implementations.
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References in zbMATH (referenced in 30 articles , 1 standard article )
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Sorted by year (- Ranjan, Desh; Savage, John; Zubair, Mohammad: Upper and lower I/O bounds for pebbling $r$-pyramids (2012)
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- Granat, Robert; Jonsson, Isak; Kågström, Bo: RECSY and SCASY library software: Recursive blocked and parallel algorithms for Sylvester-type matrix equations with some applications (2009)
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- Gunnels, John A.; Gustavson, Fred G.; Henry, Greg M.; van de Geijn, Robert A.: FLAME: formal linear algebra methods environment (2001)