X-Git-Url: http://gitweb.michael.orlitzky.com/?p=mjotex.git;a=blobdiff_plain;f=mjo-linear_algebra.tex;h=5c3f715744b14db7b4984b063952f02ba5ac530e;hp=02e1d12aba4d6383ee2b79f44eea272d96457329;hb=7321e6c665f3b9797bb7a76618e6419a33357e6c;hpb=910a2a081216b966d80e888d62cd3dcfae7418d5 diff --git a/mjo-linear_algebra.tex b/mjo-linear_algebra.tex index 02e1d12..5c3f715 100644 --- a/mjo-linear_algebra.tex +++ b/mjo-linear_algebra.tex @@ -37,6 +37,10 @@ % specialized to real matrices. \newcommand*{\transpose}[1]{ #1^{T} } +% The Moore-Penrose (or any other, I guess) pseudo-inverse of its +% sole argument. +\newcommand*{\pseudoinverse}[1]{ #1^{+} } + % The trace of an operator. \newcommand*{\trace}[1]{ \operatorname{trace}\of{{#1}} } @@ -62,7 +66,7 @@ \newcommand*{\matricize}[1]{ \operatorname{mat}\of{{#1}} } % An inline column vector, with parentheses and a transpose operator. -\newcommand*{\colvec}[1]{ \left({#1}\right)^{T} } +\newcommand*{\colvec}[1]{ \transpose{\left({#1}\right)} } % Bounded linear operators on some space. The required argument is the % domain of those operators, and the optional argument is the