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A fast parallel Gauss Jordan algorithm for matrix ...（快速并行高斯约旦矩阵算法）.pdf

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A fast parallel Gauss Jordan algorithm for matrix ...（快速并行高斯约旦矩阵算法）

Computers and Structures 128 (2013) 31–37 Contents lists available at SciVerse ScienceDirect Computers and Structures journal homepage: www.elsevi /locate/compstruc Technical Note A fast parallel Gauss Jordan algorithm for matrix inversion using CUDA Girish Sharma a, Abhishek Agarwala b, Baidurya Bhattacharya a,⇑ a Department of Civil Engineering, Indian Institute of Technology, Kharagpur 721302, India b Archayne Labs, Gurgaon 122001, India a r t i c l e i n f o a b s t r a c t Article history: The ability to invert large matrices quickly and accurately determines the effectiveness of a computa- Received 5 April 2012 tional tool. Current literature suggests that time complexity of matrix inversion is 2 or higher. This paper Accepted 24 June 2013 redesigns the Gauss Jordan algorithm for matrix inversion on a CUDA platform to exploit the large scale Available online 13 September 2013 parallelization feature of a massively multithreaded GPU. The algorithm is tested for various types of matrices and the performance metrics are studied and compared with CPU based parallel methods. Keywords: We show that the time complexity of matrix inversion scales as n as long as n2 threads can be supported Graphics processing unit by the GPU. Compute uniﬁed development architecture Matrix inversion