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Author: search.filters.author.TSAY, JCSubject: search.filters.subject.MATRIX MULTIPLICATION

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Now showing 1 - 4 of 4
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    SOME COMBINATORIAL ASPECTS OF PARALLEL ALGORITHM DESIGN FOR MATRIX MULTIPLICATION
    (1992-03-01)
    TSAY, JC
    ;
    SY, Y
    ;
    工學院
    ;
    College of Engineering
    In this paper, some combinatorial characteristics of matrix multiplication on regular two-dimensional arrays are studied. From the studies, we 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, we find that there is a transformation procedure to transform a cylindrical array to a two-layered mesh array.
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    UNIFIED APPROACH TO DESIGNING PARALLEL WINOGRAD ALGORITHMS
    (1994-05-01)
    YUAN, S
    ;
    TSAY, JC
    ;
    交大名義發表
    ;
    工學院
    ;
    National Chiao Tung University
    Although the recurrence equation for the Winograd algorithm is uniform, no unified approach has been proposed to design parallel Winograd algorithms. In the paper the authors propose a unified approach to designing parallel Winograd algorithms. Using this approach, several parallel algorithms are designed. These algorithms are executed on regular arrays including conventional systolic arrays and nonplanar regular arrays. A comparison of their performance is given.
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    SOME NEW DESIGNS OF 2-D ARRAY FOR MATRIX MULTIPLICATION AND TRANSITIVE CLOSURE
    (1995-04-01)
    TSAY, JC
    ;
    CHANG, PY
    ;
    交大名義發表
    ;
    工學院
    ;
    National Chiao Tung University
    In this paper, 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 [(3N-1)/2] execution times for matrix multiplication can be obtained, Meanwhile, we can derive a 2-D array with 4N-2 execution time 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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    DESIGN OF SPACE-OPTIMAL REGULAR ARRAYS FOR ALGORITHMS WITH LINEAR SCHEDULES
    (1995-05-01)
    TSAY, JC
    ;
    CHANG, PY
    ;
    交大名義發表
    ;
    工學院
    ;
    National Chiao Tung University
    The problem of designing space-optimal 2D regular arrays for N x N x N cubical mesh algorithms with linear schedule ai + bj + ck, 1 less than or equal to a less than or equal to b less than or equal to c, and N = nc, is studied. Three novel nonlinear processor allocation methods, each of which works by combining a partitioning technique (gcd-partition) with different nonlinear processor allocation procedures (traces), are proposed to handle different cases, In cases where a + b less than or equal to c, which are dealt with by the first processor allocation method, space-optimal designs can always be obtained in which the number of processing elements is equal to N-2/c. For other cases where a + b > c and either a = b and b = c, two other optimal processor allocation methods are proposed. Besides, the closed form expressions for the optimal number of processing elements are derived for these cases.