Abstract
In this paper the effect of memory bank conflict on the vector supercomputers is considered using the preliminary number theory. On currently used vector supercomputers the main memory consists of a number of banks. When the same bank is accessed simultaneously, so-called memory bank conflict occurs, and the computation speed drops greatly as compared with the maximum speed. Therefore the deterioration of performance due to memory bank conflict is studied mathematically in case ob bank connected with single and double ports. To check the validity of our arguments, numerical experiments are carried out on some supercomputers.
