Outsourcing Computing of Large Matrix Jordan Decomposition. (19th August 2019)

• Record Type: Journal Article
• Authors: Wu, Hongfeng; Yan, Jingjing
• Other Names: Masciari Elio Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2019(2019)
• Publication Date: 2019-08-19
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2019/6410626
• Languages: English
• ISSNs: 1024-123X

Abstract

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.