A Novel Parallel Hardware Methodology for Solving Linear System of Equations

Bowei Zhang (), Guochang Gu (), Lin Sun () and Xingzhou Zhang ()
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Bowei Zhang: Harbin Engineering University
Guochang Gu: Harbin Engineering University
Lin Sun: Harbin Engineering University
Xingzhou Zhang: Harbin Engineering University

A chapter in 2012 International Conference on Information Technology and Management Science(ICITMS 2012) Proceedings, 2013, pp 325-335 from Springer

Abstract: 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.

Keywords: Parallel methodology; Linear system of equations; Hardware-optimized algorithm (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-34910-2_37

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DOI: 10.1007/978-3-642-34910-2_37

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