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A divide-and-conquer approach for the computation of the Moore-Penrose inverses

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  • Chen, Xuzhou
  • Ji, Jun

Abstract

In this paper, we present a divide-and-conquer method for computing the Moore-Penrose inverse of a bidiagonal matrix. Working together with the effective parallel algorithms for the reduction of a general matrix to the bidiagonal matrix, the proposed method provides a new parallel approach for the computation of the Moore-Penrose inverse of a general matrix. This new approach was implemented in the CUDA environment and a significant speedup was observed on randomly generated matrices.

Suggested Citation

  • Chen, Xuzhou & Ji, Jun, 2020. "A divide-and-conquer approach for the computation of the Moore-Penrose inverses," Applied Mathematics and Computation, Elsevier, vol. 379(C).
    • Handle: RePEc:eee:apmaco:v:379:y:2020:i:c:s0096300320302344
    DOI: 10.1016/j.amc.2020.125265
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    References listed on IDEAS

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    1. Stanimirović, Predrag S. & Katsikis, Vasilios N. & Pappas, Dimitrios, 2016. "Computing {2,4} and {2,3}-inverses by using the Sherman–Morrison formula," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 584-603.
    2. Xingping Sheng, 2014. "Execute Elementary Row and Column Operations on the Partitioned Matrix to Compute M-P Inverse," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, March.
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