Title :
Matrix multiplication on the OTIS-Mesh optoelectronic computer
Author :
Wang, Chih-Fang ; Sahni, Sartaj
Author_Institution :
Dept. of Comput. Sci., Southern Illinois Univ., Carbondale, IL, USA
fDate :
7/1/2001 12:00:00 AM
Abstract :
We develop algorithms to multiply two vectors, a vector and a matrix, and two matrices on an OTIS-Mesh optoelectronic computer. Two mappings, group row and group submesh, of a matrix onto an OTIS-Mesh are considered and the relative merits of each compared. We show that our algorithms to multiply a column and row vector use an optimal number of data moves for both the group row and group submesh mappings, our algorithm to multiply a row vector and a column vector is optimal for the group row mapping, and our algorithm to multiply a matrix by a column vector is optimal for the group row mapping
Keywords :
matrix multiplication; optical computing; optical interconnections; OTIS-Mesh optoelectronic computer; group row; group submesh; matrix multiplication; Bandwidth; Computer architecture; Electronics packaging; Hypercubes; Multiprocessor interconnection networks; Optical computing; Optical fiber communication; Optical interconnections; Optical network units; Physics computing;
Journal_Title :
Computers, IEEE Transactions on