From: Michael Orlitzky <michael@orlitzky.com>
Date: Wed, 10 Aug 2016 04:23:16 +0000 (-0400)
Subject: Add \adjoint and \kp (nonstandard notation for Kronecker product) commands.
X-Git-Tag: posZ-submitted-laa~20
X-Git-Url: https://gitweb.michael.orlitzky.com/?a=commitdiff_plain;h=7c7ef6216956f7a5c8bbaf1d9780d2e1aa431342;p=mjotex.git

Add \adjoint and \kp (nonstandard notation for Kronecker product) commands.
---

diff --git a/mjo-linear_algebra.tex b/mjo-linear_algebra.tex
index e11a945..71ab1b6 100644
--- a/mjo-linear_algebra.tex
+++ b/mjo-linear_algebra.tex
@@ -19,6 +19,14 @@
 % The tensor product of its two arguments.
 \newcommand*{\tp}[2]{ {#1}\otimes{#2} }
 
+% The Kronecker product of its two arguments. The usual notation for
+% this is the same as the tensor product notation used for \tp, but
+% that leads to confusion because the two definitions may not agree.
+\newcommand*{\kp}[2]{ {#1}\odot{#2} }
+
+% The adjoint of a linear operator.
+\newcommand*{\adjoint}[1]{ {#1}^{*} }
+
 % The ``span of'' operator. The name \span is already taken.
 \newcommand*{\spanof}[1]{ \operatorname{span}\of{{#1}} }