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  Additive Decomposition of Real Matrices
 
 
Title: Additive Decomposition of Real Matrices
Author: Li, Chi-Kwong
Poon, Edward
Appeared in: Linear & multilinear algebra
Paging: Volume 50 (2002) nr. 4 pages 321-326
Year: 2002
Contents: The orthogonal orbit ${\cal O}(A)$ of an n ×n real matrix A is the set of real matrices of the form $P^t \ AP$ where $P^t P = I_n$ . We show that $A/ \| A\|$ is an affine sum of four orthogonal matrices, and note that $A^t$ can always be written as an affine combination of no more than 2 n -1 matrices in ${\cal O}(A)$ . This improves some recent results of Zhan, and answers some of his questions. Other related results are also discussed.
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

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