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Outsourcing Computing of Large Matrix Jordan Decomposition

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  • Hongfeng Wu
  • Jingjing Yan

Abstract

The Jordan decomposition of matrix is a typical scientific and engineering computational task, but such computation involves enormous computing resources for large matrices, which is burdensome for the resource-limited clients. Cloud computing enables computational resource-limited clients to economically outsource such problems to the cloud server. However, outsourcing Jordan decomposition of large-scale matrix to the cloud brings great security concerns and challenges since the matrices usually contain sensitive information. In this paper, we present a secure, verifiable, efficient, and privacy preserving algorithm for outsourcing Jordan decomposition of large-scale matrix. Security analysis shows that our algorithm is practically secure. Efficient verification algorithm is used to verify the results returned from the cloud.

Suggested Citation

  • Hongfeng Wu & Jingjing Yan, 2019. "Outsourcing Computing of Large Matrix Jordan Decomposition," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-7, August.
    • Handle: RePEc:hin:jnlmpe:6410626
    DOI: 10.1155/2019/6410626
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