Publisher： Taylor & Francis Ltd
ISSN： 0308-1087
Source： Linear and Multilinear Algebra, Vol.50, Iss.4, 2002-01, pp. : 321-326
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Abstract
The orthogonal orbit ${cal O}(A)$ of an n×n real matrix A is the set of real matrices of the form $Pt AP$ where $Pt P = I_n$. We show that $A/ | A|$ is an affine sum of four orthogonal matrices, and note that $At$ can always be written as an affine combination of no more than 2n-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.
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