The Extremum of the Frobenius Norm of Matrix

Kai-fan Yang

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Article . 2011 . Peer-reviewed

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The Extremum of the Frobenius Norm of Matrix

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2011Publisher:IEEEJournal:2011 Fourth International Joint Conference on Computational Sciences and Optimization

Authors: Kai-fan Yang;

doi: 10.1109/cso.2011.267

The Extremum of the Frobenius Norm of Matrix

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Abstract

For two given matrices A and B, the extremum of the Frobenius norm of matrix B-XA is established when X is running all over the unitary matrices. By using the technique of singular value decomposition, the extremum of the Frobenius norm matrix is studied. The result shows that the matrix B-XA has extremum when X is running all over the unitary matrices and in this paper, the bounded of maximum and the minimum of the Frobenius norm is obtained.

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Shaanxi University of Technology
China (People's Republic of)

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