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