\newcommand*{\Lnplus}[1][n]{ \mathcal{L}^{{#1}}_{+} }
% The PSD cone in a space of symmetric matrices.
-\newcommand*{\Snplus}[1][n]{ \mathcal{S}^{{#1}}_{+} }
+\newcommand*{\Snplus}[1][n]{ \Sn[#1]_{+} }
% The PSD cone in a space of Hermitian matrices.
-\newcommand*{\Hnplus}[1][n]{ \mathcal{H}^{{#1}}_{+} }
+\newcommand*{\Hnplus}[1][n]{ \Hn[#1]_{+} }
%