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A Novel Parallel Hardware Methodology for Solving Linear System of Equations

In: 2012 International Conference on Information Technology and Management Science(ICITMS 2012) Proceedings

Author

Listed:
  • Bowei Zhang

    (Harbin Engineering University)

  • Guochang Gu

    (Harbin Engineering University)

  • Lin Sun

    (Harbin Engineering University)

  • Xingzhou Zhang

    (Harbin Engineering University)

Abstract

In this paper, we proposed a parallel hardware methodology employing the modified Gaussian elimination algorithm to efficiently solve linear system of equations (LSEs). Two parallel operators are issued in the hardware-optimized algorithm. Moreover, to be the proof-of-concept, the proposed parallel methodology is implemented to hardware structures in cases to address solving LSEs over GF(2) (primarily are bits operation) and LSEs with floating-point (IEEE-754 standard, 32-bit single precision) coefficient matrix. The corresponding hardware is mainly composed of uniformly distributed basic cells which store and register data, yielding a standalone worst case time complexity O(n 2) opposed to O(n 3) of the software replication. Finally, the given experimental result inosculated with the theory analysis.

Suggested Citation

  • Bowei Zhang & Guochang Gu & Lin Sun & Xingzhou Zhang, 2013. "A Novel Parallel Hardware Methodology for Solving Linear System of Equations," Springer Books, in: Bing Xu (ed.), 2012 International Conference on Information Technology and Management Science(ICITMS 2012) Proceedings, edition 127, pages 325-335, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-34910-2_37
    DOI: 10.1007/978-3-642-34910-2_37
    as

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