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authorThibaut Horel <thibaut.horel@gmail.com>2013-02-11 16:43:38 -0800
committerThibaut Horel <thibaut.horel@gmail.com>2013-02-11 16:44:02 -0800
commitcfdc7bd753cb30a2b05ef40c33f65b845c68f2ab (patch)
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parent574e1f7e48f238efada8bff73ba26fd6dd50aaac (diff)
downloadrecommendation-cfdc7bd753cb30a2b05ef40c33f65b845c68f2ab.tar.gz
Fix matrix convex functions citation
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@@ -311,7 +311,7 @@ $A-B$ is positive definite (positive semi-definite). This order allows us to
define the notion of a \emph{decreasing} as well as \emph{convex} matrix
function, similarly to their real counterparts. With this definition, matrix
inversion is decreasing and convex over symmetric positive definite
-matrices~\cite{convexmatrix}.
+matrices (see Example 3.48 p. 110 in \cite{boyd2004convex}).
In particular,
\begin{gather*}
\forall S\subseteq\mathcal{N},\quad A(S)^{-1} \succeq A(S\cup\{i\})^{-1}