Title :
The Extremum of the Frobenius Norm of Matrix
Author_Institution :
Dept. of Math., Shaanxi Univ. of Technol., Hanzhong, China
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.
Keywords :
matrix algebra; singular value decomposition; Frobenius norm matrix; matrix B-XA; singular value decomposition; unitary matrices; Equations; Matrix decomposition; Presses; Singular value decomposition; Symmetric matrices; Frobenius norm; Unitary matrices; singular value decomposition;
Conference_Titel :
Computational Sciences and Optimization (CSO), 2011 Fourth International Joint Conference on
Conference_Location :
Yunnan
Print_ISBN :
978-1-4244-9712-6
Electronic_ISBN :
978-0-7695-4335-2
DOI :
10.1109/CSO.2011.267
