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Matrices are frequently decomposed in various ways in order to meet the conditions of an application, and therefore, algorithms for doing this are very important in the field of numerical linear algebra. In the tile algorithm, it is very critical to find a tile size that is suitable for the size of the matrix and the run-time environment. Smaller tiles can generate many fine-grained tasks. This can...
Tile algorithms for matrix decomposition can generate many fine-grained tasks. Therefore, their suitability for processing with multicourse architecture has attracted much attention from the high-performance computing (HPC) community. Our implementation of tile QR decomposition for a cluster system has dynamic scheduling, OpenMP work- sharing, and other useful features. In this article, we discuss...
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