From 6c0c557cc85dd8617505687176b0826d4f81fa2e Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andreas=20M=C3=BCller?= Date: Tue, 2 Mar 2021 14:37:55 +0100 Subject: new presentation for spectral theory --- vorlesungen/02_msespektral/Makefile | 26 ++++++++++++++++++++++ .../02_msespektral/MathSemMSE-02-spektral.tex | 14 ++++++++++++ vorlesungen/02_msespektral/common.tex | 16 +++++++++++++ vorlesungen/02_msespektral/slides.tex | 6 +++++ vorlesungen/02_msespektral/spektral-handout.tex | 11 +++++++++ 5 files changed, 73 insertions(+) create mode 100644 vorlesungen/02_msespektral/Makefile create mode 100644 vorlesungen/02_msespektral/MathSemMSE-02-spektral.tex create mode 100644 vorlesungen/02_msespektral/common.tex create mode 100644 vorlesungen/02_msespektral/slides.tex create mode 100644 vorlesungen/02_msespektral/spektral-handout.tex (limited to 'vorlesungen/02_msespektral') 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{% +\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..5678823 --- /dev/null +++ b/vorlesungen/02_msespektral/slides.tex @@ -0,0 +1,6 @@ +% +% slides.tex -- XXX +% +% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil +% + 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} -- cgit v1.2.1 From 4d16eab7a381a8379bc139ed2744912683661bab Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andreas=20M=C3=BCller?= Date: Tue, 2 Mar 2021 21:25:06 +0100 Subject: add slides --- vorlesungen/02_msespektral/slides.tex | 28 ++++++++++++++++++++++++++++ 1 file changed, 28 insertions(+) (limited to 'vorlesungen/02_msespektral') diff --git a/vorlesungen/02_msespektral/slides.tex b/vorlesungen/02_msespektral/slides.tex index 5678823..33d5f90 100644 --- a/vorlesungen/02_msespektral/slides.tex +++ b/vorlesungen/02_msespektral/slides.tex @@ -3,4 +3,32 @@ % % (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/nilpotent.tex} +% XXX \folie{5/eigenraeume.tex} + +% Jordan Normalform +\section{Jordan-Normalform} +% XXX Diagonalform +% XXX \folie{5/diagonalform.tex} +% XXX \folie{5/jordannormalform.tex} +% XXX \folie{5/minimalpolynom.tex} +% XXX \folie{5/reellenormalform.tex} +% XXX \folie{5/hessenberg.tex} + +\section{Satz von Cayley-Hamilton} +% XXX \folie{5/cayleyhamilton.tex} -- cgit v1.2.1 From 98a00850977e96d68c2612ca218543bec95b8cd6 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andreas=20M=C3=BCller?= Date: Tue, 2 Mar 2021 21:39:49 +0100 Subject: typos --- vorlesungen/02_msespektral/slides.tex | 1 + 1 file changed, 1 insertion(+) (limited to 'vorlesungen/02_msespektral') diff --git a/vorlesungen/02_msespektral/slides.tex b/vorlesungen/02_msespektral/slides.tex index 33d5f90..dc34236 100644 --- a/vorlesungen/02_msespektral/slides.tex +++ b/vorlesungen/02_msespektral/slides.tex @@ -17,6 +17,7 @@ \folie{5/kernbild.tex} \folie{5/ketten.tex} \folie{5/dimension.tex} +\folie{5/folgerungen.tex} \folie{5/nilpotent.tex} % XXX \folie{5/eigenraeume.tex} -- cgit v1.2.1 From 38f326c35243942285c43310751025d2c16801dd Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andreas=20M=C3=BCller?= Date: Thu, 4 Mar 2021 20:30:33 +0100 Subject: Spektraltheorie 1. Teil --- vorlesungen/02_msespektral/slides.tex | 11 ++++++++--- 1 file changed, 8 insertions(+), 3 deletions(-) (limited to 'vorlesungen/02_msespektral') diff --git a/vorlesungen/02_msespektral/slides.tex b/vorlesungen/02_msespektral/slides.tex index dc34236..9be6ce1 100644 --- a/vorlesungen/02_msespektral/slides.tex +++ b/vorlesungen/02_msespektral/slides.tex @@ -18,18 +18,23 @@ \folie{5/ketten.tex} \folie{5/dimension.tex} \folie{5/folgerungen.tex} +\folie{5/injektiv.tex} \folie{5/nilpotent.tex} -% XXX \folie{5/eigenraeume.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} -% XXX \folie{5/jordannormalform.tex} +\folie{5/jordanblock.tex} +\folie{5/jordan.tex} % XXX \folie{5/minimalpolynom.tex} % XXX \folie{5/reellenormalform.tex} % XXX \folie{5/hessenberg.tex} \section{Satz von Cayley-Hamilton} -% XXX \folie{5/cayleyhamilton.tex} +\folie{5/cayleyhamilton.tex} -- cgit v1.2.1 From 0dbc80dcaaf314f5f270cf7ffe11a410caec92d9 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andreas=20M=C3=BCller?= Date: Fri, 5 Mar 2021 14:01:28 +0100 Subject: more slides --- vorlesungen/02_msespektral/slides.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) (limited to 'vorlesungen/02_msespektral') diff --git a/vorlesungen/02_msespektral/slides.tex b/vorlesungen/02_msespektral/slides.tex index 9be6ce1..5e45a20 100644 --- a/vorlesungen/02_msespektral/slides.tex +++ b/vorlesungen/02_msespektral/slides.tex @@ -31,8 +31,8 @@ % 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/reellenormalform.tex} % XXX \folie{5/hessenberg.tex} \section{Satz von Cayley-Hamilton} -- cgit v1.2.1