diff options
Diffstat (limited to 'vorlesungen/06_spektral2')
-rw-r--r-- | vorlesungen/06_spektral2/Makefile | 35 | ||||
-rw-r--r-- | vorlesungen/06_spektral2/MathSem-06-spektral2.tex | 18 | ||||
-rw-r--r-- | vorlesungen/06_spektral2/common.tex | 16 | ||||
-rw-r--r-- | vorlesungen/06_spektral2/slides.tex | 22 | ||||
-rw-r--r-- | vorlesungen/06_spektral2/spektral2-handout.tex | 11 | ||||
-rw-r--r-- | vorlesungen/06_spektral2/spektralradius.jpg | bin | 0 -> 91054 bytes |
6 files changed, 102 insertions, 0 deletions
diff --git a/vorlesungen/06_spektral2/Makefile b/vorlesungen/06_spektral2/Makefile new file mode 100644 index 0000000..58534f0 --- /dev/null +++ b/vorlesungen/06_spektral2/Makefile @@ -0,0 +1,35 @@ +# +# Makefile -- spektral2 +# +# (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil +# +all: spektral2-handout.pdf MathSem-06-spektral2.pdf + +include ../slides/Makefile.inc + +SOURCES = common.tex slides.tex $(slides) + +MathSem-06-spektral2.pdf: MathSem-06-spektral2.tex $(SOURCES) + pdflatex MathSem-06-spektral2.tex + +spektral2-handout.pdf: spektral2-handout.tex $(SOURCES) + pdflatex spektral2-handout.tex + +thumbnail: thumbnail.jpg # fix1.jpg + +thumbnail.pdf: MathSem-06-spektral2.pdf + pdfjam --outfile thumbnail.pdf --papersize '{16cm,9cm}' \ + MathSem-06-spektral2.pdf 1 +thumbnail.jpg: thumbnail.pdf + convert -density 300 thumbnail.pdf \ + -resize 1920x1080 -units PixelsPerInch thumbnail.jpg + +fix1.pdf: MathSem-06-spektral2.pdf + pdfjam --outfile fix1.pdf --papersize '{16cm,9cm}' \ + MathSem-06-spektral2.pdf 65 +fix1.jpg: fix1.pdf + convert -density 300 fix1.pdf \ + -resize 1920x1080 -units PixelsPerInch fix1.jpg + +spektralradius.jpg: fix1.jpg Makefile + convert -extract 660x620+300+400 fix1.jpg spektralradius.jpg diff --git a/vorlesungen/06_spektral2/MathSem-06-spektral2.tex b/vorlesungen/06_spektral2/MathSem-06-spektral2.tex new file mode 100644 index 0000000..b03d2d6 --- /dev/null +++ b/vorlesungen/06_spektral2/MathSem-06-spektral2.tex @@ -0,0 +1,18 @@ +% +% MathSem-06-spektral2.tex -- Präsentation +% +% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil +% +\documentclass[aspectratio=169]{beamer} +\input{common.tex} +\setboolean{presentation}{true} +\begin{document} +\begin{frame} +\titlepage +\vspace{-1.7cm} +\begin{center} +\includegraphics[width=6.6cm]{spektralradius.jpg} +\end{center} +\end{frame} +\input{slides.tex} +\end{document} diff --git a/vorlesungen/06_spektral2/common.tex b/vorlesungen/06_spektral2/common.tex new file mode 100644 index 0000000..a3d5d01 --- /dev/null +++ b/vorlesungen/06_spektral2/common.tex @@ -0,0 +1,16 @@ +% +% common.tex -- gemeinsame definition +% +% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil +% +\input{../common/packages.tex} +\input{../common/common.tex} +\mode<beamer>{% +\usetheme[hideothersubsections,hidetitle]{Hannover} +} +\beamertemplatenavigationsymbolsempty +\title[Spektraltheorie~2]{Spektraltheorie 2: Funktion $f(A)$ einer Matrix} +\author[A.~Müller]{Prof. Dr. Andreas Müller} +\date[]{} +\newboolean{presentation} + diff --git a/vorlesungen/06_spektral2/slides.tex b/vorlesungen/06_spektral2/slides.tex new file mode 100644 index 0000000..b049f2f --- /dev/null +++ b/vorlesungen/06_spektral2/slides.tex @@ -0,0 +1,22 @@ +% +% slides.tex -- XXX +% +% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil +% +\section{Normen} +\folie{2/norm.tex} +\folie{2/skalarprodukt.tex} +\folie{2/operatornorm.tex} + +\section{Matrix-Analysis} +\folie{5/konvergenzradius.tex} +\folie{5/krbeispiele.tex} +\folie{5/spektralgelfand.tex} +\folie{5/Aiteration.tex} +\folie{5/satzvongelfand.tex} +% XXX stone weierstrass incomplete +\folie{5/stoneweierstrass.tex} +\folie{5/spektrum.tex} +% XXX polynome auf dem spektrum +% XXX Motiviation für *-Operation +\folie{5/normal.tex} diff --git a/vorlesungen/06_spektral2/spektral2-handout.tex b/vorlesungen/06_spektral2/spektral2-handout.tex new file mode 100644 index 0000000..40ce63b --- /dev/null +++ b/vorlesungen/06_spektral2/spektral2-handout.tex @@ -0,0 +1,11 @@ +% +% spektral2-handout.tex -- Handout XXX +% +% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil +% +\documentclass[handout,aspectratio=169]{beamer} +\input{common.tex} +\setboolean{presentation}{false} +\begin{document} +\input{slides.tex} +\end{document} diff --git a/vorlesungen/06_spektral2/spektralradius.jpg b/vorlesungen/06_spektral2/spektralradius.jpg Binary files differnew file mode 100644 index 0000000..4e952cd --- /dev/null +++ b/vorlesungen/06_spektral2/spektralradius.jpg |