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Some combinatorial aspects of parallel algorithm design for matrix multiplication

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2 Author(s)
Jong-Chuang Tsay ; Inst. of Comput. Sci. & Inf. Eng., Nat. Chiao Tung Univ., Hsin Chu, Taiwan ; Sy Yuan

Some combinatorial characteristics of matrix multiplication on regular two-dimensional arrays are studied. From the studies, the authors are able to design many efficient varieties of the cylindrical array and the two-layered mesh array for matrix multiplication. To design a cylindrical array for matrix multiplication, a systematic design procedure is proposed. In this design procedure, Latin square (a special type of matrix) plays an important role. To design a two-layered mesh array, it is found that there is a transformation procedure to transform a cylindrical array to a two-layered mesh array

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Computers, IEEE Transactions on  (Volume:41 ,  Issue: 3 )