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authorLordMcFungus <mceagle117@gmail.com>2021-03-22 18:05:11 +0100
committerGitHub <noreply@github.com>2021-03-22 18:05:11 +0100
commit76d2d77ddb2bed6b7c6b8ec56648d85da4103ab7 (patch)
tree11b2d41955ee4bfa0ae5873307c143f6b4d55d26 /vorlesungen/02_msespektral
parentmore chapter structure (diff)
parentadd title image (diff)
downloadSeminarMatrizen-76d2d77ddb2bed6b7c6b8ec56648d85da4103ab7.tar.gz
SeminarMatrizen-76d2d77ddb2bed6b7c6b8ec56648d85da4103ab7.zip
Merge pull request #1 from AndreasFMueller/master
update
Diffstat (limited to 'vorlesungen/02_msespektral')
-rw-r--r--vorlesungen/02_msespektral/Makefile26
-rw-r--r--vorlesungen/02_msespektral/MathSemMSE-02-spektral.tex14
-rw-r--r--vorlesungen/02_msespektral/common.tex16
-rw-r--r--vorlesungen/02_msespektral/slides.tex40
-rw-r--r--vorlesungen/02_msespektral/spektral-handout.tex11
5 files changed, 107 insertions, 0 deletions
diff --git a/vorlesungen/02_msespektral/Makefile b/vorlesungen/02_msespektral/Makefile
new file mode 100644
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--- /dev/null
+++ b/vorlesungen/02_msespektral/Makefile
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+#
+# Makefile -- spektral
+#
+# (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+#
+all: spektral-handout.pdf MathSemMSE-02-spektral.pdf
+
+include ../slides/Makefile.inc
+
+SOURCES = common.tex slides.tex $(slides)
+
+MathSemMSE-02-spektral.pdf: MathSemMSE-02-spektral.tex $(SOURCES)
+ pdflatex MathSemMSE-02-spektral.tex
+
+spektral-handout.pdf: spektral-handout.tex $(SOURCES)
+ pdflatex spektral-handout.tex
+
+thumbnail: thumbnail.jpg
+
+thumbnail.pdf: MathSem-02-spektral.pdf
+ pdfjam --outfile thumbnail.pdf --papersize '{16cm,9cm}' \
+ MathSemMSE-02-spektral.pdf 1
+thumbnail.jpg: thumbnail.pdf
+ convert -density 300 thumbnail.pdf \
+ -resize 1920x1080 -units PixelsPerInch thumbnail.jpg
+
diff --git a/vorlesungen/02_msespektral/MathSemMSE-02-spektral.tex b/vorlesungen/02_msespektral/MathSemMSE-02-spektral.tex
new file mode 100644
index 0000000..386b231
--- /dev/null
+++ b/vorlesungen/02_msespektral/MathSemMSE-02-spektral.tex
@@ -0,0 +1,14 @@
+%
+% MathSem-02-msespektral.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
+\end{frame}
+\input{slides.tex}
+\end{document}
diff --git a/vorlesungen/02_msespektral/common.tex b/vorlesungen/02_msespektral/common.tex
new file mode 100644
index 0000000..ddc3e5d
--- /dev/null
+++ b/vorlesungen/02_msespektral/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]{Spektraltheorie}
+\author[A.~Müller]{Prof. Dr. Andreas Müller}
+\date[]{}
+\newboolean{presentation}
+
diff --git a/vorlesungen/02_msespektral/slides.tex b/vorlesungen/02_msespektral/slides.tex
new file mode 100644
index 0000000..5e45a20
--- /dev/null
+++ b/vorlesungen/02_msespektral/slides.tex
@@ -0,0 +1,40 @@
+%
+% slides.tex -- XXX
+%
+% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+\section{Matrixrelationen}
+\folie{3/maximalergrad.tex}
+\folie{3/minimalbeispiel.tex}
+\folie{3/minimalpolynom.tex}
+
+\section{Eigenwertproblem}
+% XXX Motivation: beliebige Funktionen f(A) berechnen
+\folie{5/motivation.tex}
+\folie{5/charpoly.tex}
+
+\section{Invariante Unterräume}
+\folie{5/kernbild.tex}
+\folie{5/ketten.tex}
+\folie{5/dimension.tex}
+\folie{5/folgerungen.tex}
+\folie{5/injektiv.tex}
+\folie{5/nilpotent.tex}
+\folie{5/eigenraeume.tex}
+\folie{5/zerlegung.tex}
+\folie{5/normalnilp.tex}
+\folie{5/bloecke.tex}
+
+% Jordan Normalform
+\section{Jordan-Normalform}
+% XXX Diagonalform
+% XXX \folie{5/diagonalform.tex}
+\folie{5/jordanblock.tex}
+\folie{5/jordan.tex}
+\folie{5/reellenormalform.tex}
+% XXX \folie{5/minimalpolynom.tex}
+% XXX \folie{5/hessenberg.tex}
+
+\section{Satz von Cayley-Hamilton}
+\folie{5/cayleyhamilton.tex}
+
diff --git a/vorlesungen/02_msespektral/spektral-handout.tex b/vorlesungen/02_msespektral/spektral-handout.tex
new file mode 100644
index 0000000..4b8f061
--- /dev/null
+++ b/vorlesungen/02_msespektral/spektral-handout.tex
@@ -0,0 +1,11 @@
+%
+% msespektral-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}