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The Extremum of the Frobenius Norm of Matrix

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1 Author(s)
Kai-fan Yang ; Dept. of Math., Shaanxi Univ. of Technol., Hanzhong, China

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.

Published in:

Computational Sciences and Optimization (CSO), 2011 Fourth International Joint Conference on

Date of Conference:

15-19 April 2011