Matrix multiplication algorithms for cube connected and perfect shuffle computers are presented. It is shown that in both these models two n×nn×nn \times n matrices can be multiplied in <span class="...
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Considers the data broadcasting problem for single instruction stream, multiple data stream (SIMD) computers. Two versions of this problem, i.e., random access read (RAR) and random access write (RAW) are considered. ...
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Considers the data broadcasting problem for single instruction stream, multiple data stream (SIMD) computers. Two versions of this problem, i.e., random access read (RAR) and random access write (RAW) are considered. Efficient data broadcasting algorithms are developed for both cases. For the case of a RAR, the complexity of the algorithm is O(q2n) on a q-dimensional nq PE mesh-connected computer and 0(log2N) on an N PE cube-connected or perfect shuffle computer. For the case of a RAW, the complexity of the algorithm is 0(q2n+dqn) on a q-dimensional MCC and 0(log2N+d log N) on an N PE cube-connected or perfect shuffle computer; d is the maximum number of data items written into any one PE.
An opUmal algorithm to route data in a mesh-connected parallel computer is presented This algorithm can be used to perform any data routing that can be specified by the permutation and complementing of the bits in a P...
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The computational theory of dynamic programming is examined from the viewpoint of parallel computation. A discussion of various forms of parallelism, the corresponding parallel algorithms, the applicability of the alg...
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The computational theory of dynamic programming is examined from the viewpoint of parallel computation. A discussion of various forms of parallelism, the corresponding parallel algorithms, the applicability of the algorithms to different types of optimization problems, and their advantages over serial computation is presented. In addition, parallel aspects of various dimensionality reduction techniques such as state increment dynamic programming, successive approximations, and shift vectors are also given.
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