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Parallel design and implementation of Jacobi iterative algorithm based on ternary optical computer

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Abstract

The Jacobi iterative algorithm has the characteristic of low computational load, and multiple components of the solution can be solved independently. This paper applies these characteristics to the ternary optical computer, which can be used for parallel optimization because it has a large number of data bits and reconfigurable processor bits. Therefore, a new parallel design scheme is constructed to solve the problem of slow efficiency in solving large linear equations. And the elaborate experiment is used to verify. The experimental method is to simulate the calculation on the ternary optical computer experimental platform. Then, the resource consumption is numerically calculated and summarized to measure the feasibility of the parallel design. Eventually, the results show that the parallel design has obvious advantages in computing speed. The Jacobi iterative algorithm is optimized in parallel on ternary optical processor for the first time. There are two parallel highlights of the scheme. First, the n components are calculated in full parallel. Second, the modified signed-digit (MSD) multiplier based on the minimum module and one-step MSD adder are used to calculate each component to eliminate the impact of large amount of data on calculation time. The research provides a new method for fast solution of large linear equations.

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Authors and Affiliations

  1. School of Information Engineering, East China Jiao Tong University, Shuanggang Road, Nanchang, 330013, China

    Kai Song, Wen Li & Boyang Zhang

  2. Software School, East China Jiao Tong University, Shuanggang Road, Nanchang, 330013, China

    Liping Yan

  3. School of Computer and Information Engineering, Fuyang Normal University, West Qinghe Road, Fuyang, 236037, China

    Xianchao Wang

Authors
  1. Kai Song
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  2. Wen Li
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  3. Boyang Zhang
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  4. Liping Yan
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  5. Xianchao Wang
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Correspondence to Kai Song.

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Song, K., Li, W., Zhang, B. et al. Parallel design and implementation of Jacobi iterative algorithm based on ternary optical computer. J Supercomput 78, 14965–14990 (2022). https://doi.org/10.1007/s11227-022-04471-x

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  • DOI: https://doi.org/10.1007/s11227-022-04471-x

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