X-Git-Url: http://gitweb.michael.orlitzky.com/?p=mjotex.git;a=blobdiff_plain;f=mjo-linear_algebra.tex;fp=mjo-linear_algebra.tex;h=d493b9cce5bd047eeb940a972128a6cf7198d261;hp=c1aa9f57650112330673f93985d6e1cd655c2594;hb=6dfb93ac68463f1f47a009e2d1672c1c78f1e847;hpb=a42e99e28d22bd0a313d4bac23cd4278627be1a3 diff --git a/mjo-linear_algebra.tex b/mjo-linear_algebra.tex index c1aa9f5..d493b9c 100644 --- a/mjo-linear_algebra.tex +++ b/mjo-linear_algebra.tex @@ -71,6 +71,19 @@ % The orthogonal projection of its second argument onto the first. \newcommand*{\proj}[2] { \operatorname{proj}\of{#1, #2} } +% The set of all eigenvalues of its argument, which should be either a +% matrix or a linear operator. The sigma notation was chosen instead +% of lambda so that lambda can be reserved to denote the ordered tuple +% (largest to smallest) of eigenvalues. +\newcommand*{\spectrum}[1]{\sigma\of{{#1}}} +\ifdefined\newglossaryentry + \newglossaryentry{spectrum}{ + name={\ensuremath{\spectrum{L}}}, + description={the set of all eigenvalues of $L$}, + sort=s + } +\fi + % The ``Automorphism group of'' operator. \newcommand*{\Aut}[1]{ \operatorname{Aut}\of{{#1}} }