Estimate of locality of parallel algorithms implemented on GPUs

The problem of obtaining blocks of operations and threads of parallel algorithm resulting in a smaller number of accesses to global memory and resulting in the efficient use of caches and shared memory graphics processor is investigated. We formulated and proved statements to assess the volume of communication transactions generated by alternative sizing of blocks, as well as to minimize the number of cache misses due to the use of temporal and spatial locality of data. The research is constructive and allows software implementation for practical use.