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author | LordMcFungus <mceagle117@gmail.com> | 2021-03-22 18:05:11 +0100 |
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committer | GitHub <noreply@github.com> | 2021-03-22 18:05:11 +0100 |
commit | 76d2d77ddb2bed6b7c6b8ec56648d85da4103ab7 (patch) | |
tree | 11b2d41955ee4bfa0ae5873307c143f6b4d55d26 /vorlesungen/02_msespektral | |
parent | more chapter structure (diff) | |
parent | add title image (diff) | |
download | SeminarMatrizen-76d2d77ddb2bed6b7c6b8ec56648d85da4103ab7.tar.gz SeminarMatrizen-76d2d77ddb2bed6b7c6b8ec56648d85da4103ab7.zip |
Merge pull request #1 from AndreasFMueller/master
update
Diffstat (limited to '')
-rw-r--r-- | vorlesungen/02_msespektral/Makefile | 26 | ||||
-rw-r--r-- | vorlesungen/02_msespektral/MathSemMSE-02-spektral.tex | 14 | ||||
-rw-r--r-- | vorlesungen/02_msespektral/common.tex | 16 | ||||
-rw-r--r-- | vorlesungen/02_msespektral/slides.tex | 40 | ||||
-rw-r--r-- | vorlesungen/02_msespektral/spektral-handout.tex | 11 |
5 files changed, 107 insertions, 0 deletions
diff --git a/vorlesungen/02_msespektral/Makefile b/vorlesungen/02_msespektral/Makefile new file mode 100644 index 0000000..6451d8a --- /dev/null +++ b/vorlesungen/02_msespektral/Makefile @@ -0,0 +1,26 @@ +# +# 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} |