Real Algebraic Geometry, Positivity and Convexity
History and Overview
2022-05-10 v1 Algebraic Geometry
Optimization and Control
Abstract
Chapters 1 to 4 are the lecture notes of my course "Real Algebraic Geometry I" from the winter term 2020/2021. Chapters 5 to 8 are the lecture notes of its continuation "Real Algebraic Geometry II" from the summer term 2021. Chapters 9 and 10 are the lecture notes of its further continuation "Geometry of Linear Matrix Inequalities" from the winter term 2021/2022. These courses have been delivered at the University of Konstanz in Southern Germany. The entirety of these lecture notes is accompanied by a list of 47 long videos which is available from the following YouTube playlist: https://youtube.com/playlist?list=PLbQ93L5pV-a_RRwdEgGungHn5rN43BGe7
Cite
@article{arxiv.2205.04211,
title = {Real Algebraic Geometry, Positivity and Convexity},
author = {Markus Schweighofer},
journal= {arXiv preprint arXiv:2205.04211},
year = {2022}
}
Comments
195 pages