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Some new designs of 2-D array for matrix multiplication and transitive closure

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2 Author(s)
Jong-Chuang Tsay ; Inst. of Comput. Sci. & Inf. Eng., Nat. Chiao Tung Univ., Hsinchu, Taiwan ; Pen-Yuang Chang

We present some new regular iterative algorithms for matrix multiplication and transitive closure. With these algorithms, by spacetime mapping the 2-D arrays with 2N-1 and upper bound [(3N-1)/2] execution times for matrix multiplication can be obtained. Meanwhile, we can derive a 2-D array with 4N-2 execution rime for transitive closure based on the sequential Warshall-Floyd algorithm. All these new 2-D arrays for matrix multiplication and transitive closure have the advantages of faster and more regular than other previous designs

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Parallel and Distributed Systems, IEEE Transactions on  (Volume:6 ,  Issue: 4 )