Abstract

this article, we illustrate the issue of precisely evaluating cross-interferences in blocked loops with blocked matrix-vector multiply. Most significant interference phenomena are captured because unusual parameters such as array base addresses are being considered. The techniques used allow us to compute the precise improvement due to blocking and the threshold value of problem parameters for which the blocked loop should be preferred. It is also possible to derive an expression of the optimal block size as a function of problem parameters. Finally, it is shown that a precise rather than an approximate evaluation of cache conflicts is sometimes necessary to obtain near-optimal performance. Categories and Subject Descriptors: B.3.0 [Memory Structures]: General; C.4 [Computer

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