]> gitweb.michael.orlitzky.com - mjotex.git/blobdiff - mjo-linear_algebra.tex
mjo-common: move \Sn and \Hn into mjo-linear_algebra.
[mjotex.git] / mjo-linear_algebra.tex
index 204ad05bd6b7981d32e2c56a4b268642d58d4ce2..267ef67ae96af8482d502fbd9751b7471122d878 100644 (file)
 \newcommand*{\directsumperp}[2]{ {#1}\oplusperp{#2} }
 
 
+% The space of real symmetric n-by-n matrices. Does not reduce to
+% merely "S" when n=1 since S^{n} does not mean an n-fold cartesian
+% product of S^{1}.
+\newcommand*{\Sn}[1][n]{ \mathcal{S}^{#1} }
+\ifdefined\newglossaryentry
+  \newglossaryentry{Sn}{
+    name={\ensuremath{\Sn}},
+    description={the set of $n$-by-$n$ real symmetric matrices},
+    sort=Sn
+  }
+\fi
+
+% The space of complex Hermitian n-by-n matrices. Does not reduce to
+% merely "H" when n=1 since H^{n} does not mean an n-fold cartesian
+% product of H^{1}.
+\newcommand*{\Hn}[1][n]{ \mathcal{H}^{#1} }
+\ifdefined\newglossaryentry
+  \newglossaryentry{Hn}{
+    name={\ensuremath{\Hn}},
+    description={the set of $n$-by-$n$ complex Hermitian matrices},
+    sort=Hn
+  }
+\fi
+
+
 \fi